Numerical solution of a viscoelastic contact problem with normal compliance and unilateral constraint

Youssef OUAFIK

Authors

Youssef OUAFIK Cadi Ayyad University, ENSA, Safi, Morocco https://orcid.org/0000-0002-1412-0893

Keywords:

Viscoelastic material, Frictional contact, Finite element, Numerical simulations, Penalty and augmented , Lagrangian methods

Abstract

A numerical method is presented for a mathematical model which describes the frictional contact between a viscoelastic body and an obstacle. The process is quasistatic and the material’s behavior is described by means of a viscoelastic constitutive law with long memory. The contact is modelled with normal compliance condition restricted by unilateral constraint, and associated to a version of Coulomb's law of dry friction. A solution algorithm is discussed and implemented. Finally, numerical simulation results are reported on a two-dimensional test problem. These simulations show the efficiency of the algorithm and the corresponding mechanical interpretations.

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