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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 24
ADVANCES IN NON-LINEAR FINITE ELEMENT METHODS Edited by: B.H.V. Topping and M. Papadrakakis
Paper VI.1
The Application of the Implicit Standard Material to the Non Standard Plasticity of Granular Materials G. de Saxce* and L. Bousshine#
*Mechanics of Materials and Structures, Polytechnique Faculty of Mons, Mons, Belgium
G. de Saxce, L. Bousshine, "The Application of the Implicit Standard Material to the Non Standard Plasticity of Granular Materials", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Non-Linear Finite Element Methods", Civil-Comp Press, Edinburgh, UK, pp 159-168, 1994. doi:10.4203/ccp.24.6.1
Abstract
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
material, in particular for soil. In terms of finite element
method, an algorithm based on non linear mathematical
programming is used to solve every step of the incremental
problem. The numerical examples show the convergence of
the method even in presence of softening behaviour
resulting of the non associativity of the flow rule.
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