@book{StaatHeitzerYanetal.2000,
  author    = {Staat, Manfred and Heitzer, M. and Yan, Ai-Min and Khoi, Vu Duc and Nguyen, Dang Hung and Valdoire, F. and Lahousse, A.},
  title     = {Limit Analysis of Defects},
  publisher = {Forschungszentrum J{\"u}lich},
  address   = {J{\"u}lich},
  issn      = {0944-2952},
  pages     = {89 S.},
  year      = {2000},
  language  = {en}
}
@article{BhattaraiMayStaatetal.2022,
  author    = {Bhattarai, Aroj and May, Charlotte Anabell and Staat, Manfred and Kowalczyk, Wojciech and Tran, Thanh Ngoc},
  title     = {Layer-specific damage modeling of porcine large intestine under biaxial tension},
  series = {Bioengineering},
  volume    = {9},
  journal   = {Bioengineering},
  number    = {10, Early Access},
  publisher = {MDPI},
  address   = {Basel},
  issn      = {2306-5354},
  doi       = {10.3390/bioengineering9100528},
  pages     = {1 -- 17},
  year      = {2022},
  abstract  = {The mechanical behavior of the large intestine beyond the ultimate stress has never been investigated. Stretching beyond the ultimate stress may drastically impair the tissue microstructure, which consequently weakens its healthy state functions of absorption, temporary storage, and transportation for defecation. Due to closely similar microstructure and function with humans, biaxial tensile experiments on the porcine large intestine have been performed in this study. In this paper, we report hyperelastic characterization of the large intestine based on experiments in 102 specimens. We also report the theoretical analysis of the experimental results, including an exponential damage evolution function. The fracture energies and the threshold stresses are set as damage material parameters for the longitudinal muscular, the circumferential muscular and the submucosal collagenous layers. A biaxial tensile simulation of a linear brick element has been performed to validate the applicability of the estimated material parameters. The model successfully simulates the biomechanical response of the large intestine under physiological and non-physiological loads.},
  language  = {en}
}
@article{MeyerGaalenLeschingeretal.2019,
  author    = {Meyer, Carolin and Gaalen, Kerstin van and Leschinger, Tim and Scheyerer, Max J. and Neiss, Wolfram F. and Staat, Manfred and M{\"u}ller, Lars P. and Wegmann, Kilian},
  title     = {Kyphoplasty of Osteoporotic Fractured Vertebrae: A Finite Element Analysis about Two Types of Cement},
  series = {BioMed Research International},
  journal   = {BioMed Research International},
  doi       = {10.1155/2019/9232813},
  pages     = {Article ID 9232813},
  year      = {2019},
  language  = {en}
}
@inproceedings{StaatSzelinskiHeitzer2001,
  author    = {Staat, Manfred and Szelinski, E. and Heitzer, Michael},
  title     = {Kollapsanalyse von l{\"a}ngsfehlerbehafteten Rohren und Beh{\"a}ltern},
  year      = {2001},
  abstract  = {Es werden verbesserte Kollapsanalysen von dickwandigen, mit axialen Oberfl{\"a}chenfehlern behafteten Rohren und Beh{\"a}ltern vorgeschlagen.},
  subject      = {Druckbeh{\"a}lter},
  language  = {de}
}
@article{LeschingerBeschAydinetal.2019,
  author    = {Leschinger, Tim and Besch, Katharina and Aydin, Cansu and Staat, Manfred and Scaal, Martin and M{\"u}ller, Lars Peter and Wegmann, Kilian},
  title     = {Irreparable rotator cuff tears: a biomechanical comparison of superior capsuloligamentous complex reconstruction techniques and an interposition graft technique},
  series = {The Orthopaedic Journal of Sports Medicine},
  volume    = {7},
  journal   = {The Orthopaedic Journal of Sports Medicine},
  number    = {8},
  doi       = {10.1177/2325967119864590},
  pages     = {1 -- 5},
  year      = {2019},
  language  = {en}
}
@article{AndingTabazaStaatetal.2013,
  author    = {Anding, Ralf and Tabaza, Ruth and Staat, Manfred and Trenz, Eva and Lohmann, Philipp and Klinge, Uwe and Kirschner-Hermanns, Ruth},
  title     = {Introducing a method of in vitro testing of different anchoring systems used for female incontinence and prolapse surgery},
  series = {BioMed research international},
  volume    = {Vol. 2013},
  journal   = {BioMed research international},
  issn      = {1110-7251 (E-Journal); 2314-6141 (E-Journal); 1110-7243 (Print); 2314-6133 (Print)},
  pages     = {Article ID 401417},
  year      = {2013},
  language  = {en}
}
@article{HacklNacovKammerlohretal.2021,
  author    = {Hackl, Michael and Nacov, Julia and Kammerlohr, Sandra and Staat, Manfred and Buess, Eduard and Leschinger, Tim and M{\"u}ller, Lars P. and Wegmann, Kilian},
  title     = {Intratendinous Strain Variations of the Supraspinatus Tendon Depending on Repair Technique: A Biomechanical Analysis Regarding the Cause of Medial Cuff Failure},
  series = {The American Journal of Sports Medicine},
  volume    = {49},
  journal   = {The American Journal of Sports Medicine},
  number    = {7},
  publisher = {Sage},
  address   = {London},
  issn      = {1552-3365},
  doi       = {10.1177/03635465211006138},
  pages     = {1847 -- 1853},
  year      = {2021},
  language  = {en}
}
@article{DuongNguyenTranetal.2015,
  author    = {Duong, Minh Tuan and Nguyen, Nhu Huynh and Tran, Thanh Ngoc and Tolba, R. H. and Staat, Manfred},
  title     = {Influence of refrigerated storage on tensile mechanical properties of porcine liver and spleen},
  series = {International biomechanics},
  volume    = {Vol. 2},
  journal   = {International biomechanics},
  number    = {Iss. 1},
  publisher = {Taylor \& Francis},
  address   = {London},
  issn      = {2333-5432},
  doi       = {10.1080/23335432.2015.1049295},
  pages     = {79 -- 88},
  year      = {2015},
  language  = {en}
}
@article{NguyenDuongTranetal.2012,
  author    = {Nguyen, Nhu Huynh and Duong, Minh Tuan and Tran, Thanh Ngoc and Pham, Phu Tinh and Grottke, O. and Tolba, R. and Staat, Manfred},
  title     = {Influence of a freeze-thaw cycle on the stress-stretch curves of tissues of porcine abdominal organs},
  series = {Journal of Biomechanics},
  volume    = {45},
  journal   = {Journal of Biomechanics},
  number    = {14},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {1873-2380},
  doi       = {10.1016/j.jbiomech.2012.07.008},
  pages     = {2382 -- 2386},
  year      = {2012},
  abstract  = {The paper investigates both fresh porcine spleen and liver and the possible decomposition of these organs under a freeze-thaw cycle. The effect of tissue preservation condition is an important factor which should be taken into account for protracted biomechanical tests. In this work, tension tests were conducted for a large number of tissue specimens from twenty pigs divided into two groups of 10. Concretely, the first group was tested in fresh state; the other one was tested after a freeze-thaw cycle which simulates the conservation conditions before biomechanical experiments. A modified Fung model for isotropic behavior was adopted for the curve fitting of each kind of tissues. Experimental results show strong effects of the realistic freeze-thaw cycle on the capsule of elastin-rich spleen but negligible effects on the liver which virtually contains no elastin. This different behavior could be explained by the autolysis of elastin by elastolytic enzymes during the warmer period after thawing. Realistic biomechanical properties of elastin-rich organs can only be expected if really fresh tissue is tested. The observations are supported by tests of intestines.},
  language  = {en}
}
@inproceedings{NixFrotscherStaat2012,
  author    = {Nix, Yvonne and Frotscher, Ralf and Staat, Manfred},
  title     = {Implementation of the edge-based smoothed extended finite element method},
  series = {Proceedings 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012) Vienna, Austria, September 10-14, 2012},
  booktitle = {Proceedings 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012) Vienna, Austria, September 10-14, 2012},
  editor    = {Eberhardsteiner, J.},
  year      = {2012},
  language  = {en}
}
@inproceedings{KahmannHacklWegmannetal.2016,
  author    = {Kahmann, Stephanie and Hackl, Michael and Wegmann, Kilian and M{\"u}ller, Lars-Peter and Staat, Manfred},
  title     = {Impact of a proximal radial shortening osteotomy on the distribution of forces and the stability of the elbow},
  series = {1st YRA MedTech Symposium 2016 : April 8th / 2016 / University of Duisburg-Essen},
  booktitle = {1st YRA MedTech Symposium 2016 : April 8th / 2016 / University of Duisburg-Essen},
  editor    = {Erni, Daniel},
  publisher = {Universit{\"a}t Duisburg-Essen},
  address   = {Duisburg},
  organization    = {MedTech Symposium},
  doi       = {10.17185/duepublico/40821},
  pages     = {7 -- 8},
  year      = {2016},
  abstract  = {The human arm consists of the humerus (upper arm), the medial ulna and the lateral radius (forearm). The joint between the humerus and the ulna is called humeroulnar joint and the joint between the humerus and the radius is called humeroradial joint. Lateral and medial collateral ligaments stabilize the elbow. Statistically, 2.5 out of 10,000 people suffer from radial head fractures [1]. In these fractures the cartilage is often affected. Caused by the injured cartilage, degenerative diseases like posttraumatic arthrosis may occur. The resulting pain and reduced range of motion have an impact on the patient's quality of life. Until now, there has not been a treatment which allows typical loads in daily life activities and offers good long-term results. A new surgical approach was developed with the motivation to reduce the progress of the posttraumatic arthrosis. Here, the radius is shortened by 3 mm in the proximal part [2]. By this means, the load of the radius is intended to be reduced due to a load shift to the ulna. Since the radius is the most important stabilizer of the elbow it has to be confirmed that the stability is not affected. In the first test (Fig. 1 left), pressure distributions within the humeroulnar and humeroradial joints a native and a shortened radius were measured using resistive pressure sensors (I5076 and I5027, Tekscan, USA). The humerus was loaded axially in a tension testing machine (Z010, Zwick Roell, Germany) in 50 N steps up to 400 N. From the humerus the load is transmitted through both the radius and the ulna into the hand which is fixed on the ground. In the second test (Fig. 1 right), the joint stability was investigated using a digital image correlation system to measure the displacement of the ulna. Here, the humerus is fixed with a desired flexion angle and the unconstrained forearm lies on the ground. A rope connects the load actuator with a hook fixed in the ulna. A guide roller is used so that the rope pulls the ulna horizontally when a tensile load is applied. This creates a moment about the elbow joint with a maximum value of 7.5 Nm. Measurements were performed with varying flexion angles (0°, 30°, 60°, 90°, 120°). For both tests and each measurement, seven specimens were used. Student's t-test was employed to determine whether the mean values of the measurements in native specimen and operated specimens differ significantly.},
  language  = {en}
}
@article{DoorschodtSchreinemachersBehbahanietal.2011,
  author    = {Doorschodt, B. M. and Schreinemachers, M. C. J. M. and Behbahani, Mehdi and Florquin, S. and Weis, J. and Staat, Manfred and Tolba, R. H.},
  title     = {Hypothermic machine perfusion of kidney grafts: which pressure is preferred},
  series = {Annals of Biomedical Engineering. 39 (2011), H. 3},
  journal   = {Annals of Biomedical Engineering. 39 (2011), H. 3},
  publisher = {Springer},
  address   = {Berlin},
  isbn      = {1573-9686},
  pages     = {1051 -- 1059},
  year      = {2011},
  language  = {en}
}
@inproceedings{FrotscherStaat2015,
  author    = {Frotscher, Ralf and Staat, Manfred},
  title     = {Homogenization of a cardiac tissue construct},
  series = {CMBE15 : 4th International Conference on Computational \& Mathematical Biomedical Engineering ; 29th June - 1st July 2015 ; {\´E}cole Normale Sup{\´e}rieure de Cachan ; Cachan (Paris), France},
  booktitle = {CMBE15 : 4th International Conference on Computational \& Mathematical Biomedical Engineering ; 29th June - 1st July 2015 ; {\´E}cole Normale Sup{\´e}rieure de Cachan ; Cachan (Paris), France},
  editor    = {Nithiarasu, Perumal},
  publisher = {CMBE},
  address   = {[s.l.]},
  issn      = {2227-9385},
  pages     = {645 -- 648},
  year      = {2015},
  language  = {en}
}
@inproceedings{BallmannRaatschenStaat1985,
  author    = {Ballmann, J. and Raatschen, Hans-J{\"u}rgen and Staat, Manfred},
  title     = {High stress intensities in focussing zones of waves},
  doi       = {10.1016/B978-0-444-42520-1.50015-3},
  year      = {1985},
  abstract  = {The propagation of mechanical waves in plates of isotropic elastic material is investigated. After a short introduction to the understanding of focussing of stress waves in a plate with a curved boundary the method of characteristics is applied to a plate of hyperelastic material. Using this method the propagation of acceleration waves is discussed. Based on this a numerical difference scheme is developed for solving initial-boundary-value problems and applied to two examples: propagation of a point disturbance in a homogeneously finitely strained non-linear elastic plate and geometrical focussing in al linear elastic plate.},
  subject      = {Technische Mechanik},
  language  = {en}
}
@incollection{DuongSeifarthTemizArtmannetal.2018,
  author    = {Duong, Minh Tuan and Seifarth, Volker and Temiz Artmann, Ayseg{\"u}l and Artmann, Gerhard and Staat, Manfred},
  title     = {Growth Modelling Promoting Mechanical Stimulation of Smooth Muscle Cells of Porcine Tubular Organs in a Fibrin-PVDF Scaffold},
  series = {Biological, Physical and Technical Basics of Cell Engineering},
  booktitle = {Biological, Physical and Technical Basics of Cell Engineering},
  editor    = {Artmann, Gerhard and Temiz Artmann, Ayseg{\"u}l and Zhubanova, Azhar A. and Digel, Ilya},
  publisher = {Springer},
  address   = {Singapore},
  isbn      = {978-981-10-7904-7},
  doi       = {10.1007/978-981-10-7904-7_9},
  pages     = {209 -- 232},
  year      = {2018},
  abstract  = {Reconstructive surgery and tissue replacements like ureters or bladders reconstruction have been recently studied, taking into account growth and remodelling of cells since living cells are capable of growing, adapting, remodelling or degrading and restoring in order to deform and respond to stimuli. Hence, shapes of ureters or bladders and their microstructure change during growth and these changes strongly depend on external stimuli such as training. We present the mechanical stimulation of smooth muscle cells in a tubular fibrin-PVDFA scaffold and the modelling of the growth of tissue by stimuli. To this end, mechanotransduction was performed with a kyphoplasty balloon catheter that was guided through the lumen of the tubular structure. The bursting pressure was examined to compare the stability of the incubated tissue constructs. The results showed the significant changes on tissues with training by increasing the burst pressure as a characteristic mechanical property and the smooth muscle cells were more oriented with uniformly higher density. Besides, the computational growth models also exhibited the accurate tendencies of growth of the cells under different external stimuli. Such models may lead to design standards for the better layered tissue structure in reconstructing of tubular organs characterized as composite materials such as intestines, ureters and arteries.},
  language  = {en}
}
@article{LaackLeversStaat2013,
  author    = {Laack, Walter van and Levers, A. and Staat, Manfred},
  title     = {Gonarthrosetherapie auf Kernspinresonanzbasis mit MBST-Vierjahresbeobachtungen},
  series = {Orthop{\"a}dische Nachrichten : Zeitung f{\"u}r Orthop{\"a}die und Unfallchirurgie. 2013, H. 7/8},
  journal   = {Orthop{\"a}dische Nachrichten : Zeitung f{\"u}r Orthop{\"a}die und Unfallchirurgie. 2013, H. 7/8},
  publisher = {Biermann},
  address   = {K{\"o}ln},
  issn      = {1437-2193},
  pages     = {13},
  year      = {2013},
  language  = {de}
}
@inproceedings{StaatBallmann1989,
  author    = {Staat, Manfred and Ballmann, J.},
  title     = {Fundamental aspects of numerical methods for the propagation of multi-dimensional nonlinear waves in solids},
  series = {Nonlinear hyperbolic equations : theory, computations methods, and applications ; proceedings of the 2nd International Conference on Nonlinear Hyperbolic Problems, Aachen},
  booktitle = {Nonlinear hyperbolic equations : theory, computations methods, and applications ; proceedings of the 2nd International Conference on Nonlinear Hyperbolic Problems, Aachen},
  pages     = {574 -- 588},
  year      = {1989},
  abstract  = {The nonlinear scalar constitutive equations of gases lead to a change in sound speed from point to point as would be found in linear inhomogeneous (and time dependent) media. The nonlinear tensor constitutive equations of solids introduce the additional local effect of solution dependent anisotropy. The speed of a wave passing through a point changes with propagation direction and its rays are inclined to the front. It is an open question whether the widely used operator splitting techniques achieve a dimensional splitting with physically reasonable results for these multi-dimensional problems. May be this is the main reason why the theoretical and numerical investigations of multi-dimensional wave propagation in nonlinear solids are so far behind gas dynamics. We hope to promote the subject a little by a discussion of some fundamental aspects of the solution of the equations of nonlinear elastodynamics. We use methods of characteristics because they only integrate mathematically exact equations which have a direct physical interpretation.},
  subject      = {Nichtlineare Welle},
  language  = {en}
}
@article{JungStaatMueller2013,
  author    = {Jung, Alexander and Staat, Manfred and M{\"u}ller, Wolfram},
  title     = {Flight style optimization in ski jumping on normal, large, and ski flying hills},
  series = {Journal of biomechanics},
  volume    = {Vol. 47},
  journal   = {Journal of biomechanics},
  number    = {Iss. 3},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {1873-2380 (E-Journal); 0021-9290 (Print)},
  pages     = {716 -- 722},
  year      = {2013},
  language  = {en}
}
@inproceedings{TranStaatKreissig2007,
  author    = {Tran, Thanh Ngoc and Staat, Manfred and Kreißig, R.},
  title     = {Finite element shakedown and limit reliability analysis of thin shells},
  year      = {2007},
  abstract  = {A procedure for the evaluation of the failure probability of elastic-plastic thin shell structures is presented. The procedure involves a deterministic limit and shakedown analysis for each probabilistic iteration which is based on the kinematical approach and the use the exact Ilyushin yield surface. Based on a direct definition of the limit state function, the non-linear problems may be efficiently solved by using the First and Second Order Reliabiblity Methods (Form/SORM). This direct approach reduces considerably the necessary knowledge of uncertain technological input data, computing costs and the numerical error. In: Computational plasticity / ed. by Eugenio Onate. Dordrecht: Springer 2007. VII, 265 S. (Computational Methods in Applied Sciences ; 7) (COMPLAS IX. Part 1 . International Center for Numerical Methods in Engineering (CIMNE)). ISBN 978-1-402-06576-7 S. 186-189},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@article{NovacekTranKlingeetal.2012,
  author    = {Novacek, V. and Tran, Thanh Ngoc and Klinge, U. and Tolba, R. H. and Staat, Manfred and Bronson, D. G. and Miesse, A. M. and Whiffen, J. and Turquier, F.},
  title     = {Finite element modelling of stapled colorectal end-to-end anastomosis : Advantages of variable height stapler design},
  series = {Journal of Biomechanics},
  volume    = {45},
  journal   = {Journal of Biomechanics},
  number    = {115},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {1873-2380},
  doi       = {10.1016/j.jbiomech.2012.07.021},
  pages     = {2693 -- 2697},
  year      = {2012},
  abstract  = {The impact of surgical staplers on tissues has been studied mostly in an empirical manner. In this paper, finite element method was used to clarify the mechanics of tissue stapling and associated phenomena. Various stapling modalities and several designs of circular staplers were investigated to evaluate the impact of the device on tissues and mechanical performance of the end-to-end colorectal anastomosis. Numerical simulations demonstrated that a single row of staples is not adequate to resist leakage due to non-linear buckling and opening of the tissue layers between two adjacent staples. Compared to the single staple row configuration, significant increase in stress experienced by the tissue at the inner staple rows was observed in two and three rows designs. On the other hand, adding second and/or third staple row had no effect on strain in the tissue inside the staples. Variable height design with higher staples in outer rows significantly reduced the stresses and strains in outer rows when compared to the same configuration with flat cartridge.},
  language  = {en}
}
@inproceedings{DuongNguyenStaat2012,
  author    = {Duong, Minh Tuan and Nguyen, Nhu Hunyh and Staat, Manfred},
  title     = {Finite Element Implementation of a 3D Fung-type Model},
  series = {ESMC-2012 - 8th European Solid Mechanics Conference, Graz, Austria, July 9-13, 2012},
  booktitle = {ESMC-2012 - 8th European Solid Mechanics Conference, Graz, Austria, July 9-13, 2012},
  publisher = {Verlag d. Technischen Universit{\"a}t Graz},
  address   = {Graz},
  isbn      = {978-3-85125-223-1},
  year      = {2012},
  language  = {en}
}
@inproceedings{BhattaraiStaat2016,
  author    = {Bhattarai, Aroj and Staat, Manfred},
  title     = {Female pelvic floor dysfunction: progress weakening of the support system},
  series = {1st YRA MedTech Symposium 2016 : April 8th / 2016 / University of Duisburg-Essen},
  booktitle = {1st YRA MedTech Symposium 2016 : April 8th / 2016 / University of Duisburg-Essen},
  editor    = {Erni, Daniel},
  publisher = {Universit{\"a}t Duisburg-Essen},
  address   = {Duisburg},
  organization    = {MedTech Symposium},
  doi       = {10.17185/duepublico/40821},
  pages     = {11 -- 12},
  year      = {2016},
  abstract  = {The structure of the female pelvic floor (PF) is an inter-related system of bony pelvis,muscles, pelvic organs, fascias, ligaments, and nerves with multiple functions. Mechanically, thepelvic organ support system are of two types: (I) supporting system of the levator ani (LA) muscle,and (II) the suspension system of the endopelvic fascia condensation [1], [2]. Significantdenervation injury to the pelvic musculature, depolimerization of the collagen fibrils of the softvaginal hammock, cervical ring and ligaments during pregnancy and vaginal delivery weakens thenormal functions of the pelvic floor. Pelvic organ prolapse, incontinence, sexual dysfunction aresome of the dysfunctions which increases progressively with age and menopause due toweakened support system according to the Integral theory [3]. An improved 3D finite elementmodel of the female pelvic floor as shown in Fig. 1 is constructed that: (I) considers the realisticsupport of the organs to the pelvic side walls, (II) employs the improvement of our previous FEmodel [4], [5] along with the patient based geometries, (III) incorporates the realistic anatomy andboundary conditions of the endopelvic (pubocervical and rectovaginal) fascia, and (IV) considersvarying stiffness of the endopelvic fascia in the craniocaudal direction [3]. Several computationsare carried out on the presented computational model with healthy and damaged supportingtissues, and comparisons are made to understand the physiopathology of the female PF disorders.},
  language  = {en}
}
@article{StaatHeitzer1999,
  author    = {Staat, Manfred and Heitzer, M.},
  title     = {FEM-computation of load carrying capacity of highly loaded passive components by direct methods. Heitzer, M. ; Staat, M.},
  series = {Nuclear Engineering and Design. 193 (1999), H. 3},
  journal   = {Nuclear Engineering and Design. 193 (1999), H. 3},
  isbn      = {0029-5493},
  pages     = {349 -- 358},
  year      = {1999},
  language  = {en}
}
@article{PhamStaat2014,
  author    = {Pham, Phu Tinh and Staat, Manfred},
  title     = {FEM-based shakedown analysis of hardening structures},
  series = {Asia Pacific journal on computational engineering},
  journal   = {Asia Pacific journal on computational engineering},
  number    = {1},
  publisher = {SpringerOpen},
  address   = {Berlin},
  issn      = {2196-1166 (E-Journal)},
  doi       = {10.1186/2196-1166-1-4},
  pages     = {Article No. 4},
  year      = {2014},
  abstract  = {This paper develops a new finite element method (FEM)-based upper bound algorithm for limit and shakedown analysis of hardening structures by a direct plasticity method. The hardening model is a simple two-surface model of plasticity with a fixed bounding surface. The initial yield surface can translate inside the bounding surface, and it is bounded by one of the two equivalent conditions: (1) it always stays inside the bounding surface or (2) its centre cannot move outside the back-stress surface. The algorithm gives an effective tool to analyze the problems with a very high number of degree of freedom. Our numerical results are very close to the analytical solutions and numerical solutions in literature.},
  language  = {en}
}
@inproceedings{TranTranMatthiesetal.2016,
  author    = {Tran, Ngoc Trinh and Tran, Thanh Ngoc and Matthies, Hermann G. and Stavroulakis, Georgios Eleftherios and Staat, Manfred},
  title     = {FEM Shakedown of uncertain structures by chance constrained programming},
  series = {PAMM Proceedings in Applied Mathematics and Mechanics},
  volume    = {16},
  booktitle = {PAMM Proceedings in Applied Mathematics and Mechanics},
  number    = {1},
  issn      = {1617-7061},
  doi       = {10.1002/pamm.201610346},
  pages     = {715 -- 716},
  year      = {2016},
  language  = {en}
}
@article{TranTrinhDaoetal.2022,
  author    = {Tran, Ngoc Trinh and Trinh, Tu Luc and Dao, Ngoc Tien and Giap, Van Tan and Truong, Manh Khuyen and Dinh, Thuy Ha and Staat, Manfred},
  title     = {FEM shakedown analysis of structures under random strength with chance constrained programming},
  series = {Vietnam Journal of Mechanics},
  volume    = {44},
  journal   = {Vietnam Journal of Mechanics},
  number    = {4},
  publisher = {Vietnam Academy of Science and Technology (VAST)},
  issn      = {0866-7136},
  doi       = {10.15625/0866-7136/17943},
  pages     = {459 -- 473},
  year      = {2022},
  abstract  = {Direct methods, comprising limit and shakedown analysis, are a branch of computational mechanics. They play a significant role in mechanical and civil engineering design. The concept of direct methods aims to determine the ultimate load carrying capacity of structures beyond the elastic range. In practical problems, the direct methods lead to nonlinear convex optimization problems with a large number of variables and constraints. If strength and loading are random quantities, the shakedown analysis can be formulated as stochastic programming problem. In this paper, a method called chance constrained programming is presented, which is an effective method of stochastic programming to solve shakedown analysis problems under random conditions of strength. In this study, the loading is deterministic, and the strength is a normally or lognormally distributed variable.},
  language  = {en}
}
@inproceedings{TranStaat2021,
  author    = {Tran, Ngoc Trinh and Staat, Manfred},
  title     = {FEM shakedown analysis of Kirchhoff-Love plates under uncertainty of strength},
  series = {Proceedings of UNCECOMP 2021},
  booktitle = {Proceedings of UNCECOMP 2021},
  isbn      = {978-618-85072-6-5},
  doi       = {10.7712/120221.8041.19047},
  pages     = {323 -- 338},
  year      = {2021},
  abstract  = {A new formulation to calculate the shakedown limit load of Kirchhoff plates under stochastic conditions of strength is developed. Direct structural reliability design by chance con-strained programming is based on the prescribed failure probabilities, which is an effective approach of stochastic programming if it can be formulated as an equivalent deterministic optimization problem. We restrict uncertainty to strength, the loading is still deterministic. A new formulation is derived in case of random strength with lognormal distribution. Upper bound and lower bound shakedown load factors are calculated simultaneously by a dual algorithm.},
  language  = {en}
}
@inproceedings{PhamNguyenStaat2012,
  author    = {Pham, Phu Tinh and Nguyen, Thanh Ngoc and Staat, Manfred},
  title     = {FEM based shakedown analysis of hardening structures},
  series = {Proceedings International Conference on Advances in Computational Mechanics (ACOME)},
  booktitle = {Proceedings International Conference on Advances in Computational Mechanics (ACOME)},
  pages     = {870 -- 882},
  year      = {2012},
  language  = {en}
}
@article{Staat1993,
  author    = {Staat, Manfred},
  title     = {Failure probabilities of the primary circuit pressure boundary of an HTR-Module for process heat generation under accident conditions for different failure modes},
  series = {Nuclear Engineering and Design. 144 (1993), H. 1},
  journal   = {Nuclear Engineering and Design. 144 (1993), H. 1},
  isbn      = {0029-5493},
  pages     = {53 -- 67},
  year      = {1993},
  language  = {en}
}
@article{GorissenStaatLaack2012,
  author    = {Gorissen, P. and Staat, Manfred and Laack, Walter van},
  title     = {Experimentelle Kraftmessungen als Beitrag zur Wirksamkeitsbeurteilung von Schienbeinschonern im Fußballsport},
  series = {OUP Zeitschrift f{\"u}r die orthop{\"a}dische und unfallchirurgische Praxis},
  volume    = {1},
  journal   = {OUP Zeitschrift f{\"u}r die orthop{\"a}dische und unfallchirurgische Praxis},
  number    = {1},
  publisher = {Deutscher {\"A}rzte-Verlag},
  address   = {K{\"o}ln},
  issn      = {2193-5785},
  doi       = {10.3238/oup.2012.0010-0015},
  pages     = {10 -- 15},
  year      = {2012},
  abstract  = {Diese Studie besch{\"a}ftigte sich mit der D{\"a}mpfungswirkung von Schienbeinschonern, wie sie beim Fußball zum Einsatz kommen. Sie wurde mit Hilfe eines Pendelhammers durchgef{\"u}hrt, der verschiedene Aufschlagkr{\"a}fte auf die Schoner erm{\"o}glichte. Dabei wurde deutlich, dass Schienbeinschoner die beste Wirkung bei Maximalkr{\"a}ften unterhalb von 5kN erreichen k{\"o}nnen, dass bei gr{\"o}ßerer Belastung allerdings Verbesserungsbedarf besteht. Hierf{\"u}r konnte, u.a. durch den Einsatz neuer Materialien, ein guter Ansatzpunkt im „ad{\"a}quaten Zusammenspiel von Schale und Polsterung" der Schoner gefunden werden. Die Untersuchung hat weiterhin gezeigt, dass zumindest teilweise eine deutliche Verbesserung der D{\"a}mpfungswirkung der Schienbeinschoner in den letzten Jahren erreicht werden konnte.},
  subject      = {Fußball},
  language  = {de}
}
@inproceedings{TranNovacekTolbaetal.2011,
  author    = {Tran, Thanh Ngoc and Novacek, V. and Tolba, R. and Klinge, U. and Turquier, F. and Staat, Manfred},
  title     = {Experimental and Computational approach to study colorectal anastomosis. ISB2011, Proceedings of the XXIII Congress of the International Society of Biomechanics, Brussels, Belgium, July 3-7, 2011},
  year      = {2011},
  abstract  = {Summary: This paper presents a methodology to study and understand the mechanics of stapled anastomotic behaviors by combining empirical experimentation and finite element analysis. Performance of stapled anastomosis is studied in terms of leakage and numerical results which are compared to in vitro experiments performed on fresh porcine tissue. Results suggest that leaks occur between the tissue and staple legs penetrating through the tissue.},
  subject      = {Anastomose},
  language  = {en}
}
@article{StaatSponagelNguyen2010,
  author    = {Staat, Manfred and Sponagel, Stefan and Nguyen, Nhu Huynh},
  title     = {Experiment and material model for soft tissue materials},
  series = {Constitutive models for rubber VI : proceedings of the sixth European Conference on Constitutive Models for Rubber, Dresden, Germany, 7 - 10 September 2009 / eds. Gert Heinrich ...},
  journal   = {Constitutive models for rubber VI : proceedings of the sixth European Conference on Constitutive Models for Rubber, Dresden, Germany, 7 - 10 September 2009 / eds. Gert Heinrich ...},
  publisher = {CRC Press},
  address   = {Boca Raton [u.a.]},
  isbn      = {978-0-415-56327-7},
  pages     = {465 -- 470},
  year      = {2010},
  language  = {en}
}
@inproceedings{FrotscherKochRaatschenetal.2014,
  author    = {Frotscher, Ralf and Koch, Jan-Peter and Raatschen, Hans-J{\"u}rgen and Staat, Manfred},
  title     = {Evaluation of a computational model for drug action on cardiac tissue},
  series = {11th World Congress on Computational Mechanics (WCCM XI) ; 5th European Conference on Computational Mechanics (ECCM V) ; 6th European Conference on Computational Fluid Dynamics (ECFD VI) ; July 20 - 25, 2014, Barcelona},
  booktitle = {11th World Congress on Computational Mechanics (WCCM XI) ; 5th European Conference on Computational Mechanics (ECCM V) ; 6th European Conference on Computational Fluid Dynamics (ECFD VI) ; July 20 - 25, 2014, Barcelona},
  editor    = {Onate, E.},
  organization    = {World Congress on Computational Mechanics <11, 2014, Barcelona>},
  pages     = {1 -- 12},
  year      = {2014},
  language  = {en}
}
@article{JungStaat2020,
  author    = {Jung, Alexander and Staat, Manfred},
  title     = {Erratum to "Modeling and simulation of human induced pluripotent stem cell-derived cardiac tissue" [GAMM-Mitteilungen, (2019), 42, 4, 10.1002/gamm.201900002]},
  series = {GAMM-Mitteilungen},
  volume    = {43},
  journal   = {GAMM-Mitteilungen},
  number    = {4},
  publisher = {Wiley-VCH GmbH},
  address   = {Weinheim},
  issn      = {1522-2608},
  doi       = {10.1002/gamm.202000011},
  year      = {2020},
  language  = {en}
}
@misc{Staat2006,
  author    = {Staat, Manfred},
  title     = {Engineering Mechanics. Lecture Notes. 2nd edition, translation of the 3rd corrected and extended German edition of "Technische Mechanik"},
  year      = {2006},
  abstract  = {English translation of the corrected lectures notes of Sebastian Kr{\"a}mer. Contents 0 Introduction to Mechanics 1 Statics of Rigid Bodies 2 Elastostatics (Strength of Materials) 3 Kinematics 4 Kinetics Literature},
  subject      = {Technische Mechanik},
  language  = {en}
}
@article{EschweilerLaackStaat2007,
  author    = {Eschweiler, J. and Laack, Walter van and Staat, Manfred},
  title     = {Elektromyographische Untersuchungen zur Kr{\"a}ftigung der Oberschenkelmuskulatur mit einem myoelektrischen Stimulator nach arthroskopischen Eingriffen am Kniegelenk},
  series = {Orthop{\"a}dische Praxis. 43 (2007), H. 10},
  journal   = {Orthop{\"a}dische Praxis. 43 (2007), H. 10},
  isbn      = {0030-588x},
  pages     = {539 -- 542},
  year      = {2007},
  language  = {de}
}
@inproceedings{JungFrotscherStaat2018,
  author    = {Jung, Alexander and Frotscher, Ralf and Staat, Manfred},
  title     = {Electromechanical model of hiPSC-derived ventricular cardiomyocytes cocultured with fibroblasts},
  series = {6th European Conference on Computational Mechanics (ECCM 6), 7th European Conference on Computational Fluid Dynamics (ECFD 7), 11-15 June 2018, Glasgow, UK},
  booktitle = {6th European Conference on Computational Mechanics (ECCM 6), 7th European Conference on Computational Fluid Dynamics (ECFD 7), 11-15 June 2018, Glasgow, UK},
  pages     = {11 Seiten},
  year      = {2018},
  abstract  = {The CellDrum provides an experimental setup to study the mechanical effects of fibroblasts co-cultured with hiPSC-derived ventricular cardiomyocytes. Multi-scale computational models based on the Finite Element Method are developed. Coupled electrical cardiomyocyte-fibroblast models (cell level) are embedded into reaction-diffusion equations (tissue level) which compute the propagation of the action potential in the cardiac tissue. Electromechanical coupling is realised by an excitation-contraction model (cell level) and the active stress arising during contraction is added to the passive stress in the force balance, which determines the tissue displacement (tissue level). Tissue parameters in the model can be identified experimentally to the specific sample.},
  language  = {en}
}
@inproceedings{StaatHeitzerReindersetal.2001,
  author    = {Staat, Manfred and Heitzer, Michael and Reinders, H. and Schubert, F.},
  title     = {Einspielen und Ratchetting bei Zug- und Torsionsbelastung: Analyse und Experimente},
  year      = {2001},
  abstract  = {Traglast- und Einspielanalysen sind vereinfachte doch exakte Verfahren der klassischen Plastizit{\"a}tstheorie, die neben ausreichender Verformbarkeit keine einschr{\"a}nkenden Voraussetzungen beinhalten. Die Vereinfachungen betreffen die Beschaffung der Daten und Modelle f{\"u}r Details der Lastgeschichte und des Stoffverhaltens. Eine FEM-basierte Traglast- und Einspielanalyse f{\"u}r ideal plastisches Material wurde auf ein kinematisch verfestigendes Materialgesetz erweitert und in das Finite Element Programm PERMAS implementiert. In einem einfachen Zug-Torsionsexperiment wurde eine Hohlprobe mit konstanter Torsion und zyklischer Zugbelastung beansprucht, um die neue Implementierung zu verifizieren. Es konnte gezeigt werden, dass die Einspielanalyse gut mit den experimentellen Ergebnissen {\"u}bereinstimmt. Bei Verfestigung lassen sich wesentlich gr{\"o}ßere Sicherheiten nachweisen. Dieses Potential bedarf weiterer experimenteller Absicherung. Parallel dazu ist die Eisnpieltheorie auf fortschrittliche Verfestigungsans{\"a}tze zu erweitern.},
  subject      = {Zug-Druck-Beanspruchung},
  language  = {de}
}
@article{LindenFischoederLaacketal.2013,
  author    = {Linden, A. and Fisch{\"o}der, M. and Laack, Walter van and Staat, Manfred},
  title     = {Einschr{\"a}nkung von Taluskippung und -vorschub durch Sprunggelenkorthesen nach fibularer Bandruptur},
  series = {OUP Zeitschrift f{\"u}r die orthop{\"a}dische und unfallchirurgische Praxis},
  volume    = {2},
  journal   = {OUP Zeitschrift f{\"u}r die orthop{\"a}dische und unfallchirurgische Praxis},
  number    = {6},
  publisher = {Deutscher {\"A}rzte-Verl.},
  address   = {K{\"o}ln},
  isbn      = {2193-5785},
  doi       = {10.3238/oup.2013.0306-0309},
  pages     = {306 -- 309},
  year      = {2013},
  abstract  = {Die fibulare Bandruptur z{\"a}hlt zu einer der am h{\"a}ufigsten auftretenden Verletzungen des Bewegungsapparats. In den meisten F{\"a}llen wird heute die konservativ fr{\"u}hfunktionelle Therapie mit Sprunggelenkorthesen allgemein bevorzugt. Im Rahmen der vorliegenden Studie wurden 14 verschiedene Sprunggelenkorthesen im Hinblick auf ihre Einschr{\"a}nkung von Taluskippung und Talusvorschub untersucht. Zur Simulation einer fibularen Bandruptur wurde ein Unterschenkelmodell aus Holz mit Fußteil, mit angelegten Orthesen in einen Scheuba-Halteapparat eingespannt und mit 150 N seitlich sowie anterior-posterior belastet. Anhand der erstellten "gehaltenen" R{\"o}ntgenaufnahmen konnten Taluskippung und Talusvorschub jeder einzelnen Orthese eindeutig bestimmt werden. Die meisten Orthesen erreichten zufriedenstellende Ergebnisse. Es stellte sich heraus, dass vor allem eine eng anliegende, im Gelenkbereich anatomisch angepasste Form vorteilhaft zu sein scheint.},
  language  = {de}
}
@inproceedings{FrotscherRaatschenStaat2012,
  author    = {Frotscher, Ralf and Raatschen, Hans-J{\"u}rgen and Staat, Manfred},
  title     = {Effectiveness of the edge-based smoothed finite element method applied to soft biological tissues},
  series = {ESMC-2012 - 8th European Solid Mechanics Conference, Graz, Austria, July 9-13, 2012},
  booktitle = {ESMC-2012 - 8th European Solid Mechanics Conference, Graz, Austria, July 9-13, 2012},
  editor    = {Holzapfel, Gerhard A.},
  publisher = {Verlag d. Technischen Universit{\"a}t Graz},
  address   = {Graz},
  isbn      = {978-3-85125-223-1},
  year      = {2012},
  language  = {en}
}
@inproceedings{JungStaatMueller2016,
  author    = {Jung, Alexander and Staat, Manfred and M{\"u}ller, Wolfram},
  title     = {Effect of wind on flight style optimisation in ski jumping},
  series = {15th International Symposium on Computer Simulation in Biomechanics ; July 9th-11th 2015, Edinburgh, UK},
  booktitle = {15th International Symposium on Computer Simulation in Biomechanics ; July 9th-11th 2015, Edinburgh, UK},
  publisher = {The University of Edinburgh ; Loughborough University},
  address   = {Edinburgh},
  pages     = {53 -- 54},
  year      = {2016},
  language  = {en}
}
@article{WegmannHacklStaatetal.2016,
  author    = {Wegmann, Kilian and Hackl, Michael and Staat, Manfred and Mayer, Katharina and M{\"u}ller, Lars-Peter},
  title     = {Double plate osteosynthesis of proximal ulna fractures: biomechanical and clinical results},
  series = {Knee surgery, sports traumatology, arthroscopy},
  volume    = {Volume 24},
  journal   = {Knee surgery, sports traumatology, arthroscopy},
  number    = {Supplement 1},
  publisher = {Springer},
  address   = {Berlin},
  issn      = {0942-2056},
  doi       = {10.1007/s00167-016-4079-0},
  pages     = {58 -- 59},
  year      = {2016},
  abstract  = {While plate fixation of proximal ulna fractures might lead to superior clinical results compared to tension band wiring, regular plates represent an established risk factor for wound complications. The olecranon double plates (Medartis, Basel, CH) might decrease complications related to the osteosynthesis because of their low profile and better anatomical fit. This study aimed to evaluate the biomechanical performance and clinical results of the olecranon double plates.},
  language  = {en}
}
@article{ZhenLiangStaatetal.2024,
  author    = {Zhen, Manghao and Liang, Yunpei and Staat, Manfred and Li, Quanqui and Li, Jianbo},
  title     = {Discontinuous fracture behaviors and constitutive model of sandstone specimens containing non-parallel prefabricated fissures under uniaxial compression},
  series = {Theoretical and Applied Fracture Mechanics},
  volume    = {131},
  journal   = {Theoretical and Applied Fracture Mechanics},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {0167-8442},
  doi       = {10.1016/j.tafmec.2024.104373},
  pages     = {Artikel 104373},
  year      = {2024},
  abstract  = {The deformation and damage laws of non-homogeneous irregular structural planes in rocks are the basis for studying the stability of rock engineering. To investigate the damage characteristics of rock containing non-parallel fissures, uniaxial compression tests and numerical simulations were conducted on sandstone specimens containing three non-parallel fissures inclined at 0°, 45° and 90° in this study. The characteristics of crack initiation and crack evolution of fissures with different inclinations were analyzed. A constitutive model for the discontinuous fractures of fissured sandstone was proposed. The results show that the fracture behaviors of fissured sandstone specimens are discontinuous. The stress-strain curves are non-smooth and can be divided into nonlinear crack closure stage, linear elastic stage, plastic stage and brittle failure stage, of which the plastic stage contains discontinuous stress drops. During the uniaxial compression test, the middle or ends of 0° fissures were the first to crack compared to 45° and 90° fissures. The end with small distance between 0° and 45° fissures cracked first, and the end with large distance cracked later. After the final failure, 0° fissures in all specimens were fractured, while 45° and 90° fissures were not necessarily fractured. Numerical simulation results show that the concentration of compressive stress at the tips of 0°, 45° and 90° fissures, as well as the concentration of tensile stress on both sides, decreased with the increase of the inclination angle. A constitutive model for the discontinuous fractures of fissured sandstone specimens was derived by combining the logistic model and damage mechanic theory. This model can well describe the discontinuous drops of stress and agrees well with the whole processes of the stress-strain curves of the fissured sandstone specimens.},
  language  = {en}
}
@inproceedings{StaatHeitzer1997,
  author    = {Staat, Manfred and Heitzer, Michael},
  title     = {Direkte FEM-Berechnung der Tragf{\"a}higkeit hochbeanspruchter passiver Komponenten},
  year      = {1997},
  abstract  = {Genaue Kenntnis der Spannungen und Verformungen in passiven Komponenten gewinnt man mit detailierten inelastischen FEM Analysen. Die lokale Beanspruchung l{\"a}ßt sich aber nicht direkt mit einer Beanspruchbarkeit im strukturmechanischen Sinne vergleichen. Konzentriert man sich auf die Frage nach der Tragf{\"a}higkeit, dann vereinfacht sich die Analyse. Im Rahmen der Plastizit{\"a}tstheorie berechnen Traglast- und Einspielanalyse die tragbaren Lasten direkt und exakt. In diesem Beitrag wird eine Implementierung der Traglast- und Einspiels{\"a}tze in ein allgemeines FEM Programm vorgestellt, mit der die Tragf{\"a}higkeit passiver Komponenten direkt berechnet wird. Die benutzten Konzepte werden in Bezug auf die {\"u}bliche Strukturanalyse erl{\"a}utert. Beispiele mit lokal hoher Beanspruchung verdeutlichen die Anwendung der FEM basierten Traglast- und Einspielanalysen. Die berechneten Interaktionsdiagramme geben einen guten {\"U}berblick {\"u}ber die m{\"o}glichen Betriebsbereiche passiver Komponenten. Die Traglastanalyse bietet auch einen strukturmechanischen Zugang zur Kollapslast rißbehafteter Komponenten aus hochz{\"a}hem Material.},
  subject      = {Finite-Elemente-Methode},
  language  = {de}
}
@inproceedings{StaatHeitzer2000,
  author    = {Staat, Manfred and Heitzer, Michael},
  title     = {Direct static FEM approach to limit and shakedown analysis},
  year      = {2000},
  abstract  = {Safety and reliability of structures may be assessed indirectly by stress distributions. Limit and shakedown theorems are simplified but exact methods of plasticity that provide safety factors directly in the loading space. These theorems may be used for a direct definition of the limit state function for failure by plastic collapse or by inadaptation. In a FEM formulation the limit state function is obtained from a nonlinear optimization problem. This direct approach reduces considerably the necessary knowledge of uncertain technological input data, the computing time, and the numerical error. Moreover, the direct way leads to highly effective and precise reliability analyses. The theorems are implemented into a general purpose FEM program in a way capable of large-scale analysis.},
  subject      = {Einspielen <Werkstoff>},
  language  = {en}
}
@article{TranStaat2021,
  author    = {Tran, Ngoc Trinh and Staat, Manfred},
  title     = {Direct plastic structural design under random strength and random load by chance constrained programming},
  series = {European Journal of Mechanics - A/Solids},
  volume    = {85},
  journal   = {European Journal of Mechanics - A/Solids},
  number    = {Article 104106},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {0997-7538},
  doi       = {10.1016/j.euromechsol.2020.104106},
  year      = {2021},
  language  = {en}
}
@article{TranStaat2020,
  author    = {Tran, Ngoc Trinh and Staat, Manfred},
  title     = {Direct plastic structural design under lognormally distributed strength by chance constrained programming},
  series = {Optimization and Engineering},
  volume    = {21},
  journal   = {Optimization and Engineering},
  number    = {1},
  publisher = {Springer Nature},
  address   = {Cham},
  issn      = {1573-2924},
  doi       = {10.1007/s11081-019-09437-2},
  pages     = {131 -- 157},
  year      = {2020},
  abstract  = {We propose the so-called chance constrained programming model of stochastic programming theory to analyze limit and shakedown loads of structures under random strength with a lognormal distribution. A dual chance constrained programming algorithm is developed to calculate simultaneously both the upper and lower bounds of the plastic collapse limit and the shakedown limit. The edge-based smoothed finite element method (ES-FEM) is used with three-node linear triangular elements.},
  language  = {en}
}
@inproceedings{TranMatthiesStavroulakisetal.2018,
  author    = {Tran, Ngoc Trinh and Matthies, Hermann G. and Stavroulakis, Georgios Eleftherios and Staat, Manfred},
  title     = {Direct plastic structural design by chance constrained programming},
  series = {6th European Conference on Computational Mechanics (ECCM 6), 7th European Conference on Computational Fluid Dynamics (ECFD 7), 11-15 June 2018, Glasgow, UK},
  booktitle = {6th European Conference on Computational Mechanics (ECCM 6), 7th European Conference on Computational Fluid Dynamics (ECFD 7), 11-15 June 2018, Glasgow, UK},
  pages     = {12 Seiten},
  year      = {2018},
  abstract  = {We propose a stochastic programming method to analyse limit and shakedown of structures under random strength with lognormal distribution. In this investigation a dual chance constrained programming algorithm is developed to calculate simultaneously both the upper and lower bounds of the plastic collapse limit or the shakedown limit. The edge-based smoothed finite element method (ES-FEM) using three-node linear triangular elements is used.},
  language  = {en}
}
@article{StaatHeitzerLangetal.2005,
  author    = {Staat, Manfred and Heitzer, M. and Lang, H. and Wirtz, K.},
  title     = {Direct Finite Element Route for Design-by-Analysis of Pressure Components},
  series = {International Journal of Pressure Vessels and Piping. 82 (2005), H. 1},
  journal   = {International Journal of Pressure Vessels and Piping. 82 (2005), H. 1},
  isbn      = {0308-0161},
  pages     = {61 -- 67},
  year      = {2005},
  language  = {en}
}
@article{Staat2005,
  author    = {Staat, Manfred},
  title     = {Direct finite element route for design-by-analysis of pressure components},
  year      = {2005},
  abstract  = {In the new European standard for unfired pressure vessels, EN 13445-3, there are two approaches for carrying out a Design-by-Analysis that cover both the stress categorization method (Annex C) and the direct route method (Annex B) for a check against global plastic deformation and against progressive plastic deformation. This paper presents the direct route in the language of limit and shakedown analysis. This approach leads to an optimization problem. Its solution with Finite Element Analysis is demonstrated for mechanical and thermal actions. One observation from the examples is that the so-called 3f (3Sm) criterion fails to be a reliable check against progressive plastic deformation. Precise conditions are given, which greatly restrict the applicability of the 3f criterion.},
  subject      = {Einspielen <Werkstoff>},
  language  = {en}
}