SAINT-VENANT TYPE DECAY ESTIMATES FOR TRANSIENT HEAT CONDUCTION IN A COMPOSITE RIGID SEMISPACE |
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| Authors: | Józef Ignaczak |
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| Affiliation: | Center of Mechanics Institute of Fundamental Technological Research Polish Academy of Sciences , Warsaw, Poland |
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| Abstract: | The global and pointwise spatial decay estimates for a solution to the one-dimensional initial-boundary value problem of heat conduction in a composite rigid semispace are presented. Vie global estimates cover: (i) a transient heat conduction problem for an isotropic nonhomogeneous semispace with arbitrary variation with depth of the density, specific heat, and thermal conductivity; (ii) a transient heat conduction problem for an isotropic semispace made of a functionally graded material that composition changes from a ceramic surface at x = 0 to a metal semispacex≥.x0> 0; and (iii) a transient heat conduction problem for a microperiodic layered semispace. The pointwise spatial decay estimates are confined to homogenized transient heat conduction problems for a microperiodic layered semispace described by an effective modulus theory as well as by a refined averaged theory |
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