Analytical Evidence of Shear Band Bifurcations for Softening Materials
Strain localization is a phenomenon occurring very often in anelastic media close to rupture and it is very important to take it into account in most of applications, particularly in geotechnics. Strain localization has been widely studied experimentally, see for instance Desrues (2004) or Desrues and Viggiani (2004). It has also been put in evidence in finite element simulations even if it presents mesh dependencies, see Chambon et al. (2001) for instance. From a theoretical point of view, the Rice condition (Rice 1976; Rudnicki and Rice 1975), with some assumptions, enables to determine the onset of strain localization but does not necessarily prove the existence of shear bands.
KeywordsShear band Analytical solution Bifurcation Softening Deformation theory of plasticity
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