An elastic–viscoplastic quasistatic contact problem with damage

In this paper, the contact between an elastic–viscoplastic body and a deformable obstacle is studied. The effect of the damage, due to tension or compression, is also considered. The variational formulation leads to a coupled system of evolutionary equations for which an existence and uniqueness res...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2007-07, Vol.196 (33), p.3219-3229
Main Authors: Campo, M., Fernández, J.R., Kuttler, K.L.
Format: Article
Language:English
Subjects:
Computational techniques
Damage
Elastic–viscoplastic material
Error estimates
Exact sciences and technology
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Mechanical contact (friction...)
Numerical simulations
Physics
Quasistatic contact
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
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Summary:In this paper, the contact between an elastic–viscoplastic body and a deformable obstacle is studied. The effect of the damage, due to tension or compression, is also considered. The variational formulation leads to a coupled system of evolutionary equations for which an existence and uniqueness result is stated. Then, a fully discrete scheme is introduced using the finite element method to approximate the spatial variable and an Euler scheme to discretize the time derivatives. Error estimates are obtained and, as a consequence, the convergence of the algorithm is deduced. Finally, some numerical simulations are presented to demonstrate the accuracy of the algorithm.
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2007.03.001