Brukhal M. Stress state of thermosensitive plane-parallel solids with consideration of thermal radiation heat transfer

Mathematical model is developed to capture thermostressed state of thermosensitive solids of different transparency with consideration of thermal radiation heat transfer. During model development the phenomenological theory of radiation, quasistatic thermoelasticity and both theoretical and experimental investigation of applicability of heat transfer models were used. Basic model equations are written for semitransparent and opaque systems of infinite layers subject to thermal radiation. Expressions for stress tensor components in thermosensitive layer are obtained for various fixing conditions at infinity. Finite elements based methods to solve new nonlinear boundary problems on non-stationary heat exchange and stress state in investigated solids are proposed. Analysis of numerically obtained solutions revealed new peculiarities of an effect of thermo-sensitivity of thermo-physical, mechanical and radiation characteristics of investigated materials as well as effect of thermal radiation heat transfer on mechanical and thermal behavior of layered systems with different layer transparency.