Inproceedings,
Limit and shakedown analysis for plastic design
Proceedings of 7th German-Japanese Joint Seminar on Research in Structural Strength and NDE-Problems in Nuclear Engineering, page 4.3.1--4.3.19. Stuttgart, Staatliche Materialpüfungsanstalt Universität Stuttgart, Staatliche Materialprüfungsanstalt, Stuttgart, (September 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.
