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Green's functions for semi‐infinite transversely isotropic thermoelastic materials
Author(s) -
Hou P.F.,
Leung A.Y.T.,
Chen C.P.
Publication year - 2008
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.200710355
Subject(s) - thermoelastic damping , transverse isotropy , isotropy , elementary function , harmonic function , field (mathematics) , mathematical analysis , green s , point (geometry) , mathematics , physics , geometry , thermal , pure mathematics , thermodynamics , optics
We use the compact mono‐harmonic general solutions of transversely isotropic thermoelastic materials to construct the three‐dimensional Green's function of a steady point heat source in a semi‐infinite transversely isotropic thermoelastic material by three newly introduced mono‐harmonic functions. All components of coupled field are expressed in terms of elementary functions and are convenient to use. Numerical results for hexagonal zinc are given graphically by contours.