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Analyses of large quasistatic deformations of inelastic bodies by a new hybrid-stress finite element algorithm: Applications. (English) Zbl 0532.73070

This paper deals with the implementation of a hybrid stress FE algorithm which the authors have presented before [ibid. 39, 245-295 (1983; Zbl 0505.73045)]. First, the energy principle underlying the method is discussed. Then, the FE equations are outlined. Examples dealing with plane strain problems serve for testing the algorithm’s performance. The first example treats the necking phenomenon occuring in tension tests of elastic-plastic specimens. Bifurcation analysis is performed, and results are compared with other works. The same example is used for testing the sensitivity of the results to variations in the number, shape, and type of elements. The last example deals with plane extension of an elastic- viscous material which contains a periodic array of cylindrical voids. An appendix provides the specific shape functions used in this study.
Reviewer: Sh.Ginsburg

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74-04 Software, source code, etc. for problems pertaining to mechanics of deformable solids
74B20 Nonlinear elasticity
74S99 Numerical and other methods in solid mechanics

Citations:

Zbl 0505.73045
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References:

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