A FINITE-ELEMENT FORMULATION FOR THE COUPLED THERMOVISCOELASTIC RESPONSE OF SOLID FLUID SYSTEMS

The coupled thermoviscoelastic response of a solid–fluid system is computed by a finite element formulation which involves only temperature and displacement fields. The Laplace transform with respect to time is applied to the coupled equations. This results in a global matrix in the transform domain that is symmetric and banded and the time response is obtained by numerical inversion of the transformed solution. Also, this formulation permits the use of fractional derivatives to model viscoelastic material behaviour. Copyright © 1990 John Wiley & Sons, Ltd