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Computation of post-bifurcation and post-failure behavior of strain- softening solids. (English) Zbl 0603.73046
Consequences of the use of strain-softening models are reviewed both theoretically and numerically. A most serious consequence of strain- softening is that it may cause snap-back behavior on a structural level. This is demonstrated by means of two concrete structures, a reinforced concrete structure and an unreinforced specimen. In order to simulate the highly localized failure mode in a strain-softening solid, it appeared necessary to modify the arc-length method. The paper furthermore demonstrates that bifurcation points which occur in strain-softening solids can be located by numerical methods and that the post-bifurcation response can be traced successfully.

MSC:
74G60 Bifurcation and buckling
74S30 Other numerical methods in solid mechanics (MSC2010)
74E30 Composite and mixture properties
74S05 Finite element methods applied to problems in solid mechanics
74R05 Brittle damage
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