Numerical simulation of the quasistatic contact problem with damage
Keywords:
quasistatic frictional contact, damage, liniarelastic material, weak solutions, finite elements, numerical simulationsAbstract
This paper deals with the numerical analysis of a quasistatic contact problem with friction between an elastic body and a rigid obstacle. The contact is frictional and is modeled with a version of normal compliance condition and the Coulomb’s law of dry friction, including the development of material damage, caused by opening and growth of micro-craks and micro-cavities, which results from internal compression or tension. The material damage is taken into account in the constitutive law. The damage field varies between one and zero at each point in body. The variational form of this problem is a coupled system which consists of a first-kind variational inequality for the displacement field and a linear parabolic variational equation for the evolution of damage field. The discrete scheme of the coupled system is introduced based on the finite element method to approximate the spatial variable and an Euler scheme to discretize the time derivative, see [3, 4, 7]. The algorithm used is an iterative-alternative. The novelty of this work consists in the proposed numerical algorithm, and its implementations for a numerical solution of the quasistatic elastic contact problem with friction and damage.
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