Homogenization and Linear Thermeoelasticity.

Abstract

We study homogenization of linear dynamic thermoelasticity with rapidly varying coefficients, using a semi-group approach. The resulting homogenized problem exhibits an unusual change in initial temperature. A formal asymptotic analysis predicts fast time oscillations in the temperature field. These oscillations explain the temperature shift, and show that, for our problem, weak convergence in time in the best convergence that one can obtain. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1981
Accession Number
ADA103640

Entities

People

  • Gilles A. Francfort

Organizations

  • Stanford University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mechanics
  • Asymptotic Series
  • Boundaries
  • Coefficients
  • Convergence
  • Equations
  • Equations Of Motion
  • Heat Flux
  • Mechanics
  • Military Research
  • Oscillation
  • Periodic Functions
  • Sequences
  • Thermal Properties
  • Thermoelasticity
  • Weak Convergence

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)