Some variational principles for linear coupled thermoelasticity

Guided by the principle of virtual work, the governing equations describing the physical behavior of a thermoelastic continuum were expressed as the Euler-Lagrange equations of certain variational principles. The differential variational principles were formulated for the thermoelastic continuum with or without an internal surface of discontinuity by introducing the dislocation potentials and Lagrange undetermined multipliers. These principles were shown to recover some of the earlier variational principles as special cases, and their reciprocals were also recorded. Copyright 0 1996 Elsevier Science Ltd