Open AccessDeformation of a long thermoelastic rod of rectangular normal cross-section under mixed boundary conditions by boundary integrals
Author(s) -
A. Y. Al-Ali,
K. H. Almutairi,
E. K. Rawy,
A. F. Ghaleb,
M. S. Abou-Dina
Publication year - 2016
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2015.09.003
Subject(s) - mathematics , mathematical analysis , rectangle , boundary (topology) , thermoelastic damping , domain (mathematical analysis) , harmonic function , boundary value problem , plane (geometry) , cartesian coordinate system , harmonic , section (typography) , deformation (meteorology) , mixed boundary condition , cross section (physics) , geometry , physics , thermal , quantum mechanics , meteorology , advertising , business
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