A MIXED BOUNDARY VALUE PROBLEM IN VISCOELASTICITY WITH TIME-DEPENDENT BOUNDARY REGIONS.

Abstract

A correspondence principle of linear viscoelasticity theory for mixed boundary value problems with time-dependent boundary regions was studied by Graham in which the associated elastic solutions are required to satisfy certain restricted conditions. In this paper a generalized correspondence principle is given in which no restrictions are imposed on the associated elastic solutions. The results can be extended to thermo-rheologically simple viscoelastic media if the temperature field is either purely position-dependent or purely time-dependent. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1968
Accession Number
AD0679071

Entities

People

  • T. C. T. Ting

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Elastic Properties
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Viscoelasticity

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.