Deformation of a long thermoelastic rod of rectangular normal cross-section under mixed boundary conditions by boundary integrals

Al-Ali, A. Y.; Almutairi, K. H.; Rawy, E. K.; Ghaleb, A. F.; Abou-Dina, M. S.

doi:10.1016/j.joems.2015.09.003

Deformation of a long thermoelastic rod of rectangular normal cross-section under mixed boundary conditions by boundary integrals

Authors

Department of Mathematics, Faculty of Science, Cairo University, 12613 Giza, Egypt

10.1016/j.joems.2015.09.003

Abstract

Using a well-known solution for steady temperature distribution in a rectangle, a boundary
integral method is used to obtain an approximate solution for a plane problem of uncoupled
thermoelasticity with mixed mechanical boundary conditions. The unknown functions in the cross-
section are obtained in the form of series in Cartesian harmonics, enriched with harmonic functions
that have a singular behavior at the transition points. The results are discussed and the functions of
practical interest are represented on the boundary and also inside the domain. The locations where
possible debonding may take place are noted.

Keywords