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Boundary integral analysis of transient thermoelasticity
Author(s) -
Smith D. W.,
Booker J. R.
Publication year - 1989
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610130305
Subject(s) - laplace transform , thermoelastic damping , laplace transform applied to differential equations , boundary element method , mathematical analysis , transient (computer programming) , integral transform , boundary (topology) , analytic element method , method of fundamental solutions , inversion (geology) , transformation (genetics) , boundary value problem , mathematics , integral equation , singular boundary method , finite element method , two sided laplace transform , thermal , physics , computer science , structural engineering , geology , engineering , fourier transform , fourier analysis , structural basin , chemistry , operating system , paleontology , biochemistry , meteorology , fractional fourier transform , gene
A simple and efficient method for the solution of uncoupled transient thermoelastic problems using boundary integral techniques is presented. The method employs a Laplace transformation to remove temporarily the time dependence of the governing equations. Numerical analysis is then carried out in the transform space, and results in the time‐position space are found by numerical inversion of the Laplace transform. The method has the advantage that it avoids time‐stepping and the costly evaluation of domain integrals. Boundary element and analytic solutions are compared, and the effect of cooling on the stresses around a deep underground opening is examined.