Journal
FINITE ELEMENTS IN ANALYSIS AND DESIGN
Volume 107, Issue -, Pages 28-43Publisher
ELSEVIER
DOI: 10.1016/j.finel.2015.08.003
Keywords
Frictional discontinuity; Nonlinear contact algorithm; Augmented Lagrangian; X-FEM method
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Funding
- Iran National Science Foundation (INSF)
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In this paper, an Uzawa-lype augmented Lagrangian contact formulation is presented fur modeling frictional discontinuities in the framework of the X-FEM technique. The kinematically nonlinear contact problem is resolved based on an active set strategy to fulfill the Kuhn-Tucker inequalities in the normal direction of contact. The Coulomb's friction rule is employed to address the stick-slip behavior On the contact interface through a return mapping algorithm in conjunction with a symmetrized (nested) augmented Lagrangian approach. A stabilization algorithm is proposed for the robust imposition of the frictional contact constraints within the proposed augmented Lagrangian framework. Several numerical examples are presented to demonstrate various aspects of the proposed computational algorithm in simulation of the straight, curved and wave-shaped discontinuities. (C) 2015 Elsevier B.V. All rights reserved.
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