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Green's Function for Steady-State Heat Conduction in a Bimaterial Composite Solid



J R. Berger, J L. Skilowitz, Vinod K. Tewary


The derivation of a Green's function for steady-state heat conduction in anisotropic bimaterials is presented. The Green's function is obtained through a Fourier representation to obtain both free-space, singular parts and region-dependent, regular parts. To obtain the region-department parts of the Green's function, the homogeneous solution is written using the virtual force method. Full details of the necessary inversion integrals are provided. The Green's function is shown to degenerate to the usual logarithmic potential for steady-state heat contition in isotropic solids. The normal dericatives necessary for implementation of the Green's function in boundary integral equations are provided, and an example calculation of the Green's function in a quartz-copper material system is presented.
Computational Mechanics
No. 6


anisotropic materials, bimaterial composite solids, boundary integral equations, Green's functions, quartz-copper, steady state heat conduction, thermoelastic response


Berger, J. , Skilowitz, J. and Tewary, V. (2000), Green's Function for Steady-State Heat Conduction in a Bimaterial Composite Solid, Computational Mechanics (Accessed April 14, 2024)
Created June 1, 2000, Updated June 2, 2021