Elastoplastic Finite Element Analysis of Soil Problems with Implicit Standard Material Constitutive Laws
Keywords:
elastoplasticity, soil mechanics, non associated law, limit analysis, finite element methodAbstract
A new class of materials called Implicit Standard Materials is proposed. It allows to generalize Fenchel's inequality, and then to recover flow rule normality, for non-standard materials. We can show that implicit standard materials method describes several behaviours with simpler manner. We apply this approach to soils mechanics in order to build a non-associated constitutive law as the experience suggests. In term of FEM, an algorithm based on Newton's method is proposed. It allows to obtain a symmetric stiffness matrix in reverse to actual non-associated formulation. A bearing capacity problem is considered as numerical application. Some results and theorems are discussed.
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