Some Hamiltonian-type variational principles for motions of a hygrothermoelastic medium

Altay G., Dokmeci M.

JOURNAL OF THERMAL STRESSES, vol.23, no.3, pp.273-284, 2000 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 3
  • Publication Date: 2000
  • Doi Number: 10.1080/014957300280443
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.273-284
  • Istanbul Technical University Affiliated: No


In a mathematical modeling of the physical behavior of a hygrothermoelastic medium, a moisture field vector and a thermal field vector are introduced, Hamilton's principle is stated, and a three-field variational principle is derived. The differential variational principle is shown, as Euler-Lagrange equations, to generate the divergence equations and the associated natural boundary conditions of a hygrothermoelastic medium. This variational principle is augmented through an involutory transformation in order to incorporate the gradient equations and the constitutive relations of an anisotropic hygrothermoelastic medium; hence, a ten-field variational principle is formulated and some of its special versions recorded.