Abstract
This paper presents a two-dimensional (2D) large deformation analysis of strong discontinuities in anelastic solids and its numerical implementation. We assume associative and ideal plasticity until localization occurs. In the post-localization phase discontinuous displacements develop and their material gradient is set up in a proper way — one ‘leg’ in the current configuration, the other ‘leg’ in the reference configuration — to provide a frame indifferent (= objective) description. The numerical implementation via displacement-based six-node triangular finite elements enriched by a single displacement-jump parameter (t2/α0) in the post-localization phase (te>locte) is described in detail. The solution procedure is similar to that using assumed enhanced displacement-gradient elements, with the only but crucial difference, that on the discontinuity surface the traction is linked to the displacement jump via a proper constitutive law. Finally, numerical results of the shear test and of the tension test are presented. Copyright © 2000 John Wiley & Sons, Ltd.
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