3D frictional contact of anisotropic solids using BEM

A numerical method to study three-dimensional (3D) contact problems in solids with anisotropic elastic behavior is developed in this work. This formulation is based on the Boundary Element Method (BEM) for computing the elastic influence coefficients and on projection functions over the augmented La...

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Bibliographic Details
Published in:European journal of mechanics, A, Solids A, Solids, 2011-03, Vol.30 (2), p.95-104
Main Authors: Rodríguez-Tembleque, L., Buroni, F.C., Abascal, R., Sáez, A.
Format: Article
Language:English
Subjects:
Anisotropy
Boundary element method
Constitutive relationships
Contact
Contact mechanics
Contact potentials
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Indentation
Influence coefficient
Mathematical analysis
Mathematical models
Mechanical contact (friction...)
Physics
Solid mechanics
Structural and continuum mechanics
Three dimensional
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Summary:A numerical method to study three-dimensional (3D) contact problems in solids with anisotropic elastic behavior is developed in this work. This formulation is based on the Boundary Element Method (BEM) for computing the elastic influence coefficients and on projection functions over the augmented Lagrangian for contact restrictions fulfillment. The constitutive equations of the potential contact zone are Signorini’s contact conditions and Coulomb’s law of friction. The formulation uses a recently introduced explicit approach for fundamental solutions evaluation, which are valid for general anisotropic behavior meanwhile mathematical degeneracies are allowed. The accuracy and robustness of the proposed method is illustrated by solving some examples previously presented in the literature. This approach is further applied to study the influence of solids anisotropy on the contact problem.
ISSN:0997-7538
1873-7285
DOI:10.1016/j.euromechsol.2010.09.008