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On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. (English) Zbl 0754.73021
Problems in quasi-linear thermoelasticity are considered for a homogeneous isotropic body; the quasi-linearity is derived from the possible dependence on temperature of modulus of elasticity and specific heat; a stronger non-linearity is also admitted at the boundary through a radiation term.
The question studied and answered in the affirmative (within appropriate qualifications) is whether the stress field remains continuous (and bounded) even though there is a jump in the temperature of the furnace (discontinuous boundary datum). Essential hypothesis is the smoothness of the boundary of the heated body, or at least a local condition of convexity at an isolated singularity of the boundary. The paper will not make easy reading for an engineer who needs to be convinced that no damage will ensue from a boundary temperature jump.
Reviewer: G.Capriz (Pisa)

MSC:
74A15 Thermodynamics in solid mechanics
74B99 Elastic materials
80A20 Heat and mass transfer, heat flow (MSC2010)
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