The conjugate problem of the thermal elasticity theory with imperfect heat contact between substances

Research output: Contribution to journalArticle

Abstract

In this paper, the one-dimensional mathematical formulation of the conjugate coupling problem of the thermal elasticity theory with non-ideal contact between substances is suggested. The approximate analytical solution of the problem is received for both quasi-static and dynamic formulations. The integral transformation method of Laplace is used together with asymptotic representation of solution in the transformation space. The fields of the temperatures, stresses, strains and displacements are found. It is demonstrated with the help of some examples that the region near the interface may be the cause of the localization of stresses. The numerical solution of the quasi-static problem is in a qualitative agreement with the analytical estimations.

Original languageEnglish
Pages (from-to)252-260
Number of pages9
JournalComputational Materials Science
Volume19
Issue number1-4
Publication statusPublished - 15 Dec 2000

Fingerprint

Elasticity Theory
Imperfect
Elasticity
elastic properties
Heat
Contact
formulations
heat
integral transformations
Integral Transformation
Asymptotic Representation
Formulation
Laplace
causes
Analytical Solution
Numerical Solution
Temperature
temperature
Hot Temperature

Keywords

  • Analytical solution
  • Coating
  • Conjugate problem
  • Coupling effect
  • Heat resistance
  • Thermoelasticity

ASJC Scopus subject areas

  • Materials Science(all)

Cite this

The conjugate problem of the thermal elasticity theory with imperfect heat contact between substances. / Knyazeva, A. G.

In: Computational Materials Science, Vol. 19, No. 1-4, 15.12.2000, p. 252-260.

Research output: Contribution to journalArticle

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