Affordable Access

Publisher Website

Analysis of a quasistatic displacement-traction problem for viscoelastic materials

Authors
Journal
Mathematical and Computer Modelling
0895-7177
Publisher
Elsevier
Publication Date
Volume
32
Identifiers
DOI: 10.1016/s0895-7177(00)00144-8
Keywords
  • Viscoelastic Body
  • Nonlinear Constitutive Law
  • Quasistatic Process
  • Approach To Elasticity
Disciplines
  • Mathematics

Abstract

Abstract We consider an initial and boundary value problem which describes the evolution of a viscoelastic body submitted to body forces and surface tractions. The viscoelastic constitutive law is assumed to be nonlinear and the process is quasistatic. We prove the existence and the uniqueness of the solution using arguments of monotone operators theory and a version of Cauchy-Lypchitz theorem. We establish the continuous dependence of the solution on the elasticity operator. Finally, we study the behavior of the solution when the viscosity operator converges to zero.

There are no comments yet on this publication. Be the first to share your thoughts.

Statistics

Seen <100 times
0 Comments

More articles like this

A quasistatic contact problem for viscoelastic mat...

on Nonlinear Analysis Theory Meth... Jan 01, 2010

A quasistatic contact problem with normal complian...

on Applied Numerical Mathematics Jan 01, 2008

Analysis of a quasistatic contact problem for piez...

on Journal of Mathematical Analys... Jan 01, 2011

Variational and numerical analysis of a quasistati...

on Journal of Computational and A... Jan 01, 2003
More articles like this..