@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} } @article{StaatBallmann1985, author = {Staat, Manfred and Ballmann, J.}, title = {Anisotrope Ausbreitung und Fokussierung von Beschleunigungswellen in vorgespannten nichtlinearelastischen Scheiben}, series = {Wellenfokussierung, Kolloquium des SFB 27, RWTH Aachen}, journal = {Wellenfokussierung, Kolloquium des SFB 27, RWTH Aachen}, address = {Aachen}, pages = {140 -- 158}, year = {1985}, language = {de} } @phdthesis{Staat1987, author = {Staat, Manfred}, title = {Nichtlineare Wellen in elastischen Scheiben}, address = {Aachen}, pages = {VIII, 197 S. : graph. Darst.}, year = {1987}, language = {de} } @article{Staat1987, author = {Staat, Manfred}, title = {Anisotrope Wellenausbreitung in isotropen hyperelastischen Scheiben}, series = {Zeitschrift f{\"u}r angewandte Mathematik und Mechanik : ZAMM. 67 (1987), H. 4}, journal = {Zeitschrift f{\"u}r angewandte Mathematik und Mechanik : ZAMM. 67 (1987), H. 4}, isbn = {0946-8463}, pages = {T241 -- T243}, year = {1987}, language = {de} } @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{StaatBallmann1988, author = {Staat, Manfred and Ballmann, J.}, title = {Wave Propagation and Focussing in Plates}, series = {Impact loading and dynamic behaviour of materials : Papers presented at the International Conference on Impact Loading and Dynamic Behaviour of Materials, Vol. 2 / Chiem, C. Y.; Kunze, L. (u.a.) [eds]}, journal = {Impact loading and dynamic behaviour of materials : Papers presented at the International Conference on Impact Loading and Dynamic Behaviour of Materials, Vol. 2 / Chiem, C. Y.; Kunze, L. (u.a.) [eds]}, publisher = {DGM Informationsges.}, address = {Oberursel}, year = {1988}, language = {en} } @article{StaatBallmann1989, author = {Staat, Manfred and Ballmann, J.}, title = {Zur Problematik tensorieller Verallgemeinerungen einachsiger nichtlinearer Materialgesetze}, series = {Zeitschrift f{\"u}r angewandte Mathematik und Mechanik : ZAMM. 69 (1989), H. 2}, journal = {Zeitschrift f{\"u}r angewandte Mathematik und Mechanik : ZAMM. 69 (1989), H. 2}, isbn = {0946-8463}, doi = {10.1515/9783112553169-006}, pages = {73 -- 81}, year = {1989}, 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{StaatWoltersBongartsetal.1990, author = {Staat, Manfred and Wolters, J and Bongarts, W. and Hennings, W. (u.a.)}, title = {{\"U}berarbeitete probabilistisch orientierte Sicherheitsanalyse f{\"u}r den HTR-Modul}, series = {Jahrestagung Kerntechnik '90 / Kerntechnische Gesellschaft e.V. ; Deutsches Atomforum e.V}, journal = {Jahrestagung Kerntechnik '90 / Kerntechnische Gesellschaft e.V. ; Deutsches Atomforum e.V}, publisher = {INFORUM}, address = {Bonn}, pages = {143 -- 146}, year = {1990}, language = {de} } @article{Staat1991, author = {Staat, Manfred}, title = {Versagenswahrscheinlichkeit der Prim{\"a}rkreisdruckumschließung eines HTR-Moduls zur Prozeßw{\"a}rmegewinnung unter St{\"o}rfallbedingungen bei verschiedenen Versagensmoden}, year = {1991}, language = {de} } @article{Staat1991, author = {Staat, Manfred}, title = {Versagenswahrscheinlichkeit der Prim{\"a}rkreisdruckumschließung eines HTR-Moduls zur Prozeßw{\"a}rmegewinnung unter St{\"o}rfallbedingungen}, series = {Jahrestagung Kerntechnik '91 / Kerntechnische Gesellschaft e.V. ; Deutsches Atomforum e.V}, journal = {Jahrestagung Kerntechnik '91 / Kerntechnische Gesellschaft e.V. ; Deutsches Atomforum e.V}, publisher = {INFORUM}, address = {Bonn}, pages = {123 -- 126}, year = {1991}, language = {de} } @article{Staat1992, author = {Staat, Manfred}, title = {Probabilistische Bewertung des bruchmechanischen Verhaltens der Prim{\"a}rkreisdruckumschließung eines HTR-Moduls}, year = {1992}, language = {de} } @article{Staat1993, author = {Staat, Manfred}, title = {Sensitivity of and Influences on the Reliability of an HTR-Module Primary Circuit Pressure Boundary}, series = {Transactions of the 12th International Conference on Structural Mechanics in Reactor Technology (SMiRT-12) / Kussmaul, K. [ed]}, journal = {Transactions of the 12th International Conference on Structural Mechanics in Reactor Technology (SMiRT-12) / Kussmaul, K. [ed]}, publisher = {Elsevier}, address = {Amsterdam}, isbn = {0-444-81515-5}, pages = {147 -- 152}, year = {1993}, language = {en} } @article{Staat1993, author = {Staat, Manfred}, title = {Reliability of the Primary Circuit Pressure Boundary of an HTR-Module under Accident Conditions}, series = {Safety and reliability assessment : an integral approach ; ESREL'93 ; proceedings of the European Safety and Reliability Conference, Munich, Germany, May 10th - 12th 1993 / Kafka, P. [ed]}, journal = {Safety and reliability assessment : an integral approach ; ESREL'93 ; proceedings of the European Safety and Reliability Conference, Munich, Germany, May 10th - 12th 1993 / Kafka, P. [ed]}, publisher = {Elsevier}, address = {Amsterdam}, isbn = {0-444-81561-9}, pages = {331 -- 342}, year = {1993}, 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{Staat1995, author = {Staat, Manfred}, title = {Reliability of an HTR-module primary circuit pressure boundary Influences, sensitivity, and comparison with a PWR}, series = {Nuclear Engineering and Design. 158 (1995), H. 2-3}, journal = {Nuclear Engineering and Design. 158 (1995), H. 2-3}, isbn = {0029-5493}, pages = {333 -- 340}, year = {1995}, language = {en} } @article{Staat1996, author = {Staat, Manfred}, title = {Problems and Chances for Probabilistic Fracture Mechanics in the Analysis of Steel Pressure Boundary Reliability}, series = {Technical feasibility and reliability of passive safety systems for nuclear power plants. Proceedings of an Advisory Group Meeting held in J{\"u}lich, 21-24 November 1994}, journal = {Technical feasibility and reliability of passive safety systems for nuclear power plants. Proceedings of an Advisory Group Meeting held in J{\"u}lich, 21-24 November 1994}, address = {Vienna}, pages = {43 -- 55}, year = {1996}, language = {en} } @article{Staat1996, author = {Staat, Manfred}, title = {Probabilistic assessment of the fracture mechanics behaviour of an HTR-module primary circuit pressure boundary}, series = {Nuclear Engineering and Design. 160 (1996), H. 1-2}, journal = {Nuclear Engineering and Design. 160 (1996), H. 1-2}, isbn = {0029-5493}, pages = {221 -- 236}, year = {1996}, 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{StaatHeitzer1997, author = {Staat, Manfred and Heitzer, Michael}, title = {Limit and shakedown analysis for plastic design}, year = {1997}, abstract = {Limit and shakedown theorems are exact theories of classical plasticity for the direct computation of safety factors or of the load carrying capacity under constant and varying loads. Simple versions of limit and shakedown analysis are the basis of all design codes for pressure vessels and pipings. Using Finite Element Methods more realistic modeling can be used for a more rational design. The methods can be extended to yield optimum plastic design. In this paper we present a first implementation in FE of limit and shakedown analyses for perfectly plastic material. Limit and shakedown analyses are done of a pipe-junction and a interaction diagram is calculated. The results are in good correspondence with the analytic solution we give in the appendix.}, subject = {Einspielen }, language = {en} }