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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.

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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