Compatibility Conditions in Micropolar Thermoelasticity

Abstract eng:
The present report deals with the statement of boundary conditions on propagating wave surfaces of strong discontinuities in micropolar (MP) thermoelastic (TE) continua. An approach attributed to field theory is used to study the problem. A natural density of thermoelastic action and the corresponding variational least action principle are stated for a varying domain. A special form of the first variation of the action is employed to obtain 4-covariant jump conditions on the wave surfaces. These are given by the PiolaKirchhoff stress 4-tensor and the energymomentum tensor. These conditions should be supplemented by the geometrical and kinematical compatibility conditions due to Rankine, Hugoniot, Hadamard, and Thomas.

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