Modeling and investigation of thermomechanical behavior of thermosensitive solids with allowance for the thermal radiation effect. (Ukrainian, English) Zbl 1313.74057
Mat. Metody Fiz.-Mekh. Polya 56, No. 2, 212-224 (2013); translation in J. Math. Sci., New York 203, No. 2, 265-278 (2014).
The authors present a review of investigations in the field of radiation thermomechanics of solids of different transparency to thermal radiation. A model problem for an irradiated heat-sensitive layer is used to study the effect of the temperature sensitivity of thermal, mechanical and radiative characteristics on the stresses in semitransparent and nontransparent solids. For the investigation, a method for solving nonlinear problems on heat transfer and thermoelasticity based on the finite element method is applied.
Reviewer: Ju. N. Shevchenko (Kyïv)
MSC:
| 74F05 | Thermal effects in solid mechanics |
| 74A15 | Thermodynamics in solid mechanics |
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
Keywords:
nonlinear problems; heat transfer; heat elasticity; stress in semitransparent and nontransparent bodiesReferences:
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