A Finite Element Solution of the Coupled Dynamical Thermoelasticity Equations in A Slab.

Abstract

A finite-element methodology has been presented to solve the one-dimensional couple dynamical thermoelasticity. The spatial variable is discretized by the Galerkin scheme and the central difference scheme. The time variable is discretized by the Galerkin and the backward difference scheme. It was found that the two spatial discretization approaches give close comparison in accuracy when used in conjunction with the backward difference in time. To simulate the wave-like behavior in micro-time scale becomes expensive but there is no technical difficulty. To simulate the macro-time phenomena, the micro-time behavior would disappear. Two test problems are presented to show the micro- and the macro-time behaviors of the thermoelastic slab. The responses to a realistic set of pressure and temperature pulse inputs simulating the interior ballistic type of action are also presented. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 09, 1980
Accession Number
ADA080712

Entities

People

  • H. Ghoneim
  • J. Davis
  • Yunhui Chen

Organizations

  • Rutgers University–New Brunswick

Tags

DTIC Thesaurus Topics

  • Applied Mechanics
  • Boundary Value Problems
  • Constitutive Equations
  • Couplings
  • Equations
  • Gun Barrels
  • Interior Ballistics
  • Materials
  • Materials Science
  • Mathematical Models
  • Mechanics
  • Secondary Waves
  • Stars
  • Stress Waves
  • Stresses
  • Thermoelasticity
  • Waves

Readers

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