Analysis and Computing Of Solutions to an evolution Problem in Nonlinear Viscoelasticity,

Abstract

Problems involving nonconvex energies where the equilibrium configuration may involve several phases have received alot of attention in recent years. We begin studying an evolution problem modeling the deformations of a simple viscoelastic material and a nonconvex energy. We show that the approximate solution given by a standard finite element method will converge at an optimal rate to the true solution. Through numerical computations we start to explore the long time behavior.

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1992
Accession Number
ADP006594

Entities

People

  • Donald A. French

Organizations

  • University of Cincinnati

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Approximation (Mathematics)
  • Computations
  • Equations
  • Finite Element Analysis
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Minnesota
  • Personal Information Managers
  • Standards
  • Viscoelasticity

Fields of Study

  • Mathematics

Readers

  • Mechanical Engineering/Mechanics of Materials.
  • Operations Research
  • Theoretical Analysis.