Fundamental, variational equations of discontinuous thermopiezoelectric fields


Altay G., Dokmeci M.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol.34, no.7, pp.769-782, 1996 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 7
  • Publication Date: 1996
  • Title of Journal : INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
  • Page Numbers: pp.769-782

Abstract

To describe the physical behavior of a thermopiezoelectric medium, the fundamental equations are expressed as the Euler-Lagrange equations of certain variational principles. The variational principles are deduced from a general principle of continuum physics (e.g. the principle of virtual work) by modifying it through an involutory (Legendre's or Friedrichs's) transformation. They are shown to generate all the divergence and gradient equations, the constitutive relations and the mixed-boundary and jump conditions for the medium with or without a fixed, internal surface of discontinuity. Copyright (C) 1996 Elsevier Science Ltd