@article{KuehnHaugnerStaatetal.2004,
  author    = {K{\"u}hn, Raoul-Roman and Haugner, Werner and Staat, Manfred and Sponagel, Stefan},
  title     = {A Two Phase Mixture Model based on Bone Observation},
  year      = {2004},
  abstract  = {An optimization method is developed to describe the mechanical behaviour of the human cancellous bone. The method is based on a mixture theory. A careful observation of the behaviour of the bone material leads to the hypothesis that the bone density is controlled by the principal stress trajectories (Wolff's law). The basic idea of the developed method is the coupling of a scalar value via an eigenvalue problem to the principal stress trajectories. On the one hand this theory will permit a prediction of the reaction of the biological bone structure after the implantation of a prosthesis, on the other hand it may be useful in engineering optimization problems. An analytical example shows its efficiency.},
  subject      = {Knochen},
  language  = {en}
}
@article{VuStaat2004,
  author    = {Vu, Duc-Khoi and Staat, Manfred},
  title     = {An algorithm for shakedown analysis of structure with temperature dependent yield stress},
  year      = {2004},
  abstract  = {This work is an attempt to answer the question: How to use convex programming in shakedown analysis of structures made of materials with temperature-dependent properties. Based on recently established shakedown theorems and formulations, a dual relationship between upper and lower bounds of the shakedown limit load is found, an algorithmfor shakedown analysis is proposed. While the original problem is neither convex nor concave, the algorithm presented here has the advantage of employing convex programming tools.},
  subject      = {Einspielen <Werkstoff>},
  language  = {en}
}
@article{LeversStaatLaack2011,
  author    = {Levers, A. and Staat, Manfred and Laack, Walter van},
  title     = {Analyse der Langzeitwirkung der MBST® KernspinResonanzTherapie bei Gonarthrose},
  year      = {2011},
  abstract  = {Originalausgabe: Orthop{\"a}dische Praxis Jg. 47. 2011 H. 11; S. 536-543. Mit freundlicher Genehmigung des Verlags Zusammenfassung: Auf der Basis von Patientenabfragen mittels Fragebogen zum Schmerzempfinden und zur Einschr{\"a}nkung bei Aktivit{\"a}ten des allt{\"a}glichen Lebens wird die Langzeitwirkung der MBST® KernspinResonanz-Therapie bei Gonarthrose untersucht. An der Studie nahmen 39 Patienten teil, bei denen die Therapie bis zu vier Jahre zur{\"u}ckliegt. Neben einer Gesamtbetrachtung wird der Erfolg auch in Abh{\"a}ngigkeit von Alter, Geschlecht und sportlicher Aktivit{\"a}t analysiert. Insgesamt weist die Studie auf eine anhaltende Verbesserung des Gesundheitszustands mit zum Teil deutlicher Schmerzlinderung auch noch nach vier Jahren hin, jedoch mit einer leichten Schmerzzunahme gegen Ende des Untersuchungszeitraums von vier Jahren. Eine tendenziell positivere Wirkung bei Frauen, {\"a}lteren Menschen oder auch sportlich nicht-aktiven Patienten l{\"a}sst auf eine m{\"o}gliche Beeinflussung des Erfolgs der Therapie durch ({\"U}ber-)Belastung im Alltag schließen. Ein zus{\"a}tzlich positiver Effekt der Therapie auf die Knochendichte ist ebenfalls denkbar, dies bleibt jedoch offen.},
  subject      = {Kniegelenkarthrose},
  language  = {de}
}
@article{Staat2000,
  author    = {Staat, Manfred},
  title     = {Basis Reduction for the Shakedown Problem for Bounded Kinematic Hardening Material},
  year      = {2000},
  abstract  = {Limit and shakedown analysis are effective methods for assessing the load carrying capacity of a given structure. The elasto-plastic behavior of the structure subjected to loads varying in a given load domain is characterized by the shakedown load factor, defined as the maximum factor which satisfies the sufficient conditions stated in the corresponding static shakedown theorem. The finite element dicretization of the problem may lead to very large convex optimization. For the effective solution a basis reduction method has been developed that makes use of the special problem structure for perfectly plastic material. The paper proposes a modified basis reduction method for direct application to the two-surface plasticity model of bounded kinematic hardening material. The considered numerical examples show an enlargement of the load carrying capacity due to bounded hardening.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@article{StaatBallmann1988,
  author    = {Staat, Manfred and Ballmann, J.},
  title     = {Computation of impacts on elastic solids by methods of bicharacteristics},
  series = {Computational Mechanics '88 : theory and applications ; proceedings of the International Conference on Computational Engineering Science April 10-14, 1988, Atlanta, GA, USA ; vol. 2},
  journal   = {Computational Mechanics '88 : theory and applications ; proceedings of the International Conference on Computational Engineering Science April 10-14, 1988, Atlanta, GA, USA ; vol. 2},
  pages     = {1719 -- 1722},
  year      = {1988},
  abstract  = {Shock waves, explosions, impacts or cavitation bubble collapses may generate stress waves in solids causing cracks or unexpected dammage due to focussing, physical nonlinearity or interaction with existing cracks. There is a growing interest in wave propagation, which poses many novel problems to experimentalists and theorists.},
  subject      = {Bicharakteristikenverfahren},
  language  = {en}
}
@article{Staat2001,
  author    = {Staat, Manfred},
  title     = {Cyclic plastic deformation tests to verify FEM-based shakedown analyses},
  year      = {2001},
  abstract  = {Fatigue analyses are conducted with the aim of verifying that thermal ratcheting is limited. To this end it is important to make a clear distintion between the shakedown range and the ratcheting range (continuing deformation). As part of an EU-supported research project, experiments were carried out using a 4-bar model. The experiment comprised a water-cooled internal tube, and three insulated heatable outer test bars. The system was subjected to alternating axial forces, superimposed with alternating temperatures at the outer bars. The test parameters were partly selected on the basis of previous shakedown analyses. During the test, temperatures and strains were measured as a function of time. The loads and the resulting stresses were confirmed on an ongoing basis during performance of the test, and after it. Different material models were applied for this incremental elasto-plastic analysis using the ANSYS program. The results of the simulation are used to verify the FEM-based shakedown analysis.},
  subject      = {Materialerm{\"u}dung},
  language  = {en}
}
@article{Staat2000,
  author    = {Staat, Manfred},
  title     = {Direct FEM Limit and Shakedown Analysis with Uncertain Data},
  year      = {2000},
  abstract  = {The structural reliability with respect to plastic collapse or to inadaptation is formulated on the basis of the lower bound limit and shakedown theorems. A direct definition of the limit state function is achieved which permits the use of the highly effective first order reliability methods (FORM) is achieved. The theorems are implemented into a general purpose FEM program in a way capable of large-scale analysis. The limit state function and its gradient are obtained from a mathematical optimization problem. This direct approach reduces considerably the necessary knowledge of uncertain technological input data, the computing time, and the numerical error, leading to highly effective and precise reliability analyses.},
  subject      = {Finite-Elemente-Methode},
  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}
}
@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}
}
@article{StaatHeitzer1997,
  author    = {Staat, Manfred and Heitzer, M.},
  title     = {Limit and Shakedown Analysis Using a General Purpose Finite Element Code},
  series = {Proceedings of NAFEMS World Congress '97 on Design, Simulation \& Optimisation : reliability \& applicability of computational methods ; Stuttgart, Germany, 9 - 11 April 1997},
  journal   = {Proceedings of NAFEMS World Congress '97 on Design, Simulation \& Optimisation : reliability \& applicability of computational methods ; Stuttgart, Germany, 9 - 11 April 1997},
  publisher = {NAFEMS},
  address   = {Glasgow},
  isbn      = {1-87437-620-4},
  pages     = {522 -- 533},
  year      = {1997},
  language  = {en}
}