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

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.


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