Numerical Techniques for the Treatment of Quasistatic Solid Viscoelastic Stress Problems

Abstract

For quasistatic stress problems two alternative constitutive relationships expressing the stress in a linear viscoelastic solid body as a linear functional of the strain are derived. In conjunction with the equations of equilibrium, these form the mathematical models for the stress problems. These models are first discretized in the space domain using a finite element method and semi-discrete error estimates are presented corresponding to each constitutive relationship. Through the use respectively of quadrature rules and finite difference replacements each semi-discrete scheme is fully discretized into the time domain so that two practical algorithms suitable for the numerical stress analysis of linear viscoelastic solids are produced. The semi-discrete estimates are then also extended into the time domain to give spatially eta (exp 1) error estimates for each algorithm.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1993
Accession Number
ADA447556

Entities

People

  • C. Dawson
  • J. R. Whiteman
  • M. F. Wheeler
  • M. K. Warby
  • Souradet Y. Shaw

Organizations

  • Rice University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Applied Mathematics
  • Equations
  • Finite Element Analysis
  • Information Operations
  • Mathematical Models
  • Mathematics
  • Models
  • Solid Bodies
  • Stress Analysis
  • Stresses
  • Time Domain

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Computational Fluid Dynamics (CFD)
  • Structural Health Monitoring of Composite Structures.

Technology Areas

  • Space