State-space approach to two-temperature generalized thermoelasticity without energy dissipation of medium subjected to moving heat source

doi:10.1007/s10483-013-1653-7

Abstract

Abstract:

In this work, a model of two-temperature generalized thermoelasticity without energy dissipation for an elastic half-space with constant elastic parameters is constructed. The Laplace transform and state-space techniques are used to obtain the general solution for any set of boundary conditions. The general solutions are applied to a specific problem of a half-space subjected to a moving heat source with a constant velocity. The inverse Laplace transforms are computed numerically, and the comparisons are shown in figures to estimate the effects of the heat source velocity and the two-temperature parameter.

Key words: differential geometrical method, composite, imperfect interface, interface integral, effective modulus

H. M. YOUSSEF. State-space approach to two-temperature generalized thermoelasticity without energy dissipation of medium subjected to moving heat source. Applied Mathematics and Mechanics (English Edition), 2013, 34(1): 63-74.

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References

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