Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 198, Issue 37-40, Pages 2860-2873Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2009.04.007
Keywords
Contact; Mortar method; Large sliding; Lagrange multiplier; Friction
Funding
- Spanish Ministry for Science and Technology [DPI2007-66995-C03-02]
- Universidad Politecnica de Valencia [PAID-06-09]
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In this work a Lagrange multiplier method is proposed to solve 2D Coulomb frictional contact problems in the context of large deformations. As the proposed formulation is based on the mortar method, the constraints are imposed in a weak integral sense along the contact surface. In order to compute the contact integrals, we use a numerical integration based on the definition of the kinematical variables (gap, slip and their variations) at the quadrature points. The linearization of non-linear equations (virtual work and contact constraints) is developed in order to apply a Newton's method. The examples show that the numerical integration still preserves the optimal rate of convergence of the finite element solution. (C) 2009 Elsevier B.V. All rights reserved.
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