@article{StaatHeitzer2002, author = {Staat, Manfred and Heitzer, M.}, title = {Limit and Shakedown Analysis with Uncertain Data}, series = {Stochastic optimization techniques : numerical methods and technical applications / Marti, K. [ed]}, journal = {Stochastic optimization techniques : numerical methods and technical applications / Marti, K. [ed]}, publisher = {Springer}, address = {Heidelberg}, isbn = {3-540-42889-5}, pages = {241 -- 254}, year = {2002}, 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{Staat2001, author = {Staat, Manfred}, title = {LISA - a European project for FEM-based limit and shakedown analysis}, year = {2001}, abstract = {The load-carrying capacity or the safety against plastic limit states are the central questions in the design of structures and passive components in the apparatus engineering. A precise answer is most simply given by limit and shakedown analysis. These methods can be based on static and kinematic theorems for lower and upper bound analysis. Both may be formulated as optimization problems for finite element discretizations of structures. The problems of large-scale analysis and the extension towards realistic material modelling will be solved in a European research project. Limit and shakedown analyses are briefly demonstrated with illustrative examples.}, subject = {Einspielen }, language = {en} } @article{StaatHeitzer2000, author = {Staat, Manfred and Heitzer, M.}, title = {Traglastanalyse - ein strukturmechanisches Verfahren zur Beurteilung von gerissenen Bauteilen und Verbindungen}, series = {Festigkeits- und Bruchverhalten von F{\"u}geverbindungen : 32. Tagung des DVM-Arbeitskreises Bruchvorg{\"a}nge ; 22. und 23. Februar 2000 in Berlin / Richard, H. A. [Hrsg]}, journal = {Festigkeits- und Bruchverhalten von F{\"u}geverbindungen : 32. Tagung des DVM-Arbeitskreises Bruchvorg{\"a}nge ; 22. und 23. Februar 2000 in Berlin / Richard, H. A. [Hrsg]}, publisher = {Deutscher Verband f{\"u}r Materialforschung und -pr{\"u}fung}, address = {Berlin}, pages = {183 -- 192}, year = {2000}, language = {de} } @article{StaatHeitzer2000, author = {Staat, Manfred and Heitzer, M.}, title = {Reliability Analysis of Elasto-Plastic Structures under Variable Loads}, series = {Inelastic analysis of structures under variable loads : theory and engineering applications / Maier, G.; Weichert, D. [ed]}, journal = {Inelastic analysis of structures under variable loads : theory and engineering applications / Maier, G.; Weichert, D. [ed]}, publisher = {Kluwer Academic Publ.}, address = {Dordrecht}, isbn = {0-7923-6645-X}, pages = {269 -- 288}, year = {2000}, language = {en} } @article{StaatHeitzer2000, author = {Staat, Manfred and Heitzer, M.}, title = {Direct FEM approach to design-by-analysis of pressurized components}, series = {Achema 2000 : Sonderausgabe / Linde. [Hrsg.: Linde AG. Red.: Volker R. Leski]}, journal = {Achema 2000 : Sonderausgabe / Linde. [Hrsg.: Linde AG. Red.: Volker R. Leski]}, publisher = {Linde AG}, address = {Wiesbaden}, pages = {79 -- 81}, year = {2000}, 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{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{StaatHeitzer1999, author = {Staat, Manfred and Heitzer, M.}, title = {Structural Reliability Analysis of Elasto-Plastic Structures}, series = {Safety and reliability : proceedings of ESREL '99, the Tenth European Conference on Safety and Reliability, Munich-Garching, Germany, 13 - 17 September 1999 / Schu{\"e}ller, G. I.; Kafka, P. [eds]}, journal = {Safety and reliability : proceedings of ESREL '99, the Tenth European Conference on Safety and Reliability, Munich-Garching, Germany, 13 - 17 September 1999 / Schu{\"e}ller, G. I.; Kafka, P. [eds]}, publisher = {Balkema}, address = {Rotterdam}, isbn = {90-5809-109-0}, pages = {513 -- 518}, year = {1999}, 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} }