ON THE SOLUTION OF MIXED BOUNDARY VALUE PROBLEMS, THAT INVOLVE TIME-DEPENDENT BOUNDARY REGIONS, FOR VISCOELASTIC BODIES WITH TEMPERATURE-DEPENDENT PROPERTIES,

Abstract

The correspondence principle of the thermoviscoelastic theory of materials whose behaviour is thermorheologically simple is extended to accommodate certain mixed boundary value problems, that involve time-dependent boundary regions. The extended correspondence principle is used to determine the solution to the axisymmetric problem that arises when a rigid axisymmetric body of curved surface is pressed against the bounding plane of a viscoelastic half space which is under the influence of a uniform time-dependent temperature field. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 21, 1967
Accession Number
AD0815677

Entities

People

  • G. A. C. Graham

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Axisymmetric
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Materials
  • Mathematical Analysis

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.

Technology Areas

  • Space