THREE DIMENSIONAL MODELING OF SLIP SURFACES IN GEOMATERIALS

Abstract eng:
A three-dimensional finite element implementation of a simple nonassociative Drucker-Prager plasticity model with strong discontinuity mode of localized deformation is formulated for small deformations. A strong discontinuity mode of localized deformation represents slip along a surface of zero measure, whereas a weak discontinuity mode of localized deformation represents shear within a band of finite thickness. A numerical algorithm that detects onset of localization for three-dimensional stress states and the possible normals to slip planes within a three-dimensional finite element is demonstrated. An enhanced strain hexahedral finite element accounting for the various slip-plane cutting conditions is described. This model and finite element lead to mesh-independent solutions with regard to mesh refinement and mesh alignment. A simple three dimensional numerical example demonstrates the numerical algorithm for determining onset of localization.

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