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A short note on incremental thermoelasticity. (English) Zbl 0564.73009
The equations of classical thermoelasticity have been extensively studied [e.g. N. S. Wilkes, SIAM J. Math. Anal. 11, 292-299 (1980; Zbl 0433.73013)]. Only more recently the equations when the initial state is at non-uniform temperature have been established [D. Iesan, J. Therm. Stresses 3, 41-56 (1980)], and a well-posedness theorem was proved by the author and C. Navarro for these equations [Z. Angew. Math. Phys. 35, 206-215 (1984; Zbl 0549.73007)]. Our goal here is to make a brief comment about dissipation in this last case of an initial state with non-uniform temperature.

MSC:
74F05 Thermal effects in solid mechanics
74A15 Thermodynamics in solid mechanics
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