On a doubly nonlinear model for the evolution of damaging in viscoelastic materials

  • Bonetti E
  • Schimperna G
  • Segatti A
  • 4

    Readers

    Mendeley users who have this article in their library.
  • 32

    Citations

    Citations of this article.

Abstract

We consider a model describing the evolution of damage in visco-elastic materials, where both the stiffness and the viscosity properties are assumed to degenerate as the damaging is complete. The equation of motion ruling the evolution of macroscopic displacement is hyperbolic. The evolution of the damage parameter is described by a doubly nonlinear parabolic variational inclusion, due to the presence of two maximal monotone graphs involving the phase parameter and its time derivative. Existence of a solution is proved in some subinterval of time in which the damage process is not complete. Uniqueness is established in the case when one of the two monotone graphs is assumed to be Lipschitz continuous. © 2005 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • Degenerating parabolic equation
  • Doubly nonlinear parabolic inclusion
  • Existence and uniqueness
  • Viscoelasticity

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Elena Bonetti

  • Giulio Schimperna

  • Antonio Segatti

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free