A Numerical Lagrangian Approach for Analysis of Contact Viscoelastic Problems

Abstract

The objective of this paper is to develop a finite-element formulation associated with an incremental adaptive procedure established for analysis of frictional contact problems in viscoelastic solids. A generalized Maxwell model has been used to model the viscoelastic constitutive equations in which bulk and shear relaxation functions are represented by the sum of a series of decaying exponential functions of time. A generalized finite-element approach, based on the principle of virtual work, has been developed using an incremental relaxation procedure. The application of the finite element method to contact viscoelastic problems is investigated. The contact treatment between bodies has been studied through an augmented Lagrangian approach. Finally, an example is presented to evaluate the computational solution procedure presented.