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On Numerical Solution Scheme for Thermoelastic Problems in Inhomogeneous Media by means of Boundary‐Volume Element
Author(s) -
Tanaka Masataka,
Tanaka Kikuaki
Publication year - 1980
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19800601211
Subject(s) - thermoelastic damping , boundary element method , mathematical analysis , mathematics , discretization , boundary (topology) , domain (mathematical analysis) , boundary value problem , volume integral , integral equation , finite element method , thermal , physics , thermodynamics
The paper is concerned with thermoelastic problems in which the material constants are prescribed as arbitrary, continuous and differentiable functions of spatial coordinates. The formulation is made in terms of Green's function which is available in the literature for homogeneous elastostatics. The governing equation is transformed into a set of integral equations in the inner domain and also on the boundary. The resulting integral equations are discretized by means of boundary elements as well as volume elements. The behavior of the problems is completely determined by solving simultaneously the system of linear equations thus obtained.