Consistent tangent matrices of curved contact operators involving anisotropic friction

Authors

  • Pierre Alart Laboratoire de mecanique et genie civil- URA CNRS 1214 Universite Montpellier 11, cc 048 34095 Montpellier cedex 5
  • Andreas Heege International center for numerical methods in engineering Edificio CJ Campus Norte-UPC Gran Capitan 08034 Barcelona/Spain

Keywords:

unilateral contact, friction, mixed formulation, Newton method, finite contact element

Abstract

Contact problems involving friction are difficult to solve because they are governed by multivalued tribological laws. Using a mixed penalty-duality formulation, a generalized Newton method has proved to be efficient. In order to introduce new nonlinearities like anisotropic friction and curvature of the contact surface, appropriate tangent matrices have to be derived. The additional terms are discussed and algorithms are proposed when analytical expressions are not available. Two numerical tests are presented to show the performance of the generalized Newton method.

 

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Published

1995-02-26

How to Cite

Alart, P. ., & Heege, A. . (1995). Consistent tangent matrices of curved contact operators involving anisotropic friction. European Journal of Computational Mechanics, 4(2), !83 – 207. Retrieved from https://journals.riverpublishers.com/index.php/EJCM/article/view/3581

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Original Article