Computation of post-bifurcation and post-failure behavior of strain- softening solids.

*(English)*Zbl 0603.73046Consequences 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 |