Mathematic modeling of temperature and intention fields interaction at the essential temperature changes. (Russian. English summary) Zbl 1177.74026

Chochiev, T. Z.

Izv. Vyssh. Uchebn. Zaved., Sev.-Kavk. Reg., Estestv. Nauki, No. 4, 22-28 (2008).

When a thermal field is added to an elastic deformation problem then formulations of the problem are sufficiently changed. Here, the deformation-stress equations for the homogeneous elastic rod with additional thermal actions are given. An explicit expression for the thermal conductivity of the rod material which firstly was introduced as an unknown parameter is found.

Reviewer: Sergei Georgievich Zhuravlev (Moskva)

MSC:

74A10	Stress
74A15	Thermodynamics in solid mechanics
74B10	Linear elasticity with initial stresses
74B15	Equations linearized about a deformed state (small deformations superposed on large)
74F05	Thermal effects in solid mechanics

Keywords:

stress; thermodynamics; linear elasticity with initial stresses; linearized equations; deformed state; thermal effects