Abstract:
In this paper, we consider a multiweight theory of weak discontinuities of the temperature increment, translational and spinor displacements in a semi-isotropic thermoelastic micropolar medium. The mathematical theory proposed for consideration is substantially based on the achievements of modern pseudotensor calculus. Definitions of multiweight pseudotensor elements of area and volume are revisited. A general multiweight form of a pseudotensor equation on a wave surface propagating in a semi-isotropic thermoelastic micropolar medium is derived. Weak discontinuities of solutions of the coupled system of pseudovector partial differential equations of semi-isotropic micropolar thermoelasticity are studied. For this aim the geometric and kinematic Hadamard–Thomas conditions are generalized to the pseudotensor case taking account of the pseudotensor geometry of the propagating surface of weak discontinuities. The propagation velocities of wave surfaces of translational and spinor displacements are found. A classification of weak discontinuities of temperature, translational and spinor displacements is carried out and their spatial polarizations are studied. The conditions of athermality of propagating wave surfaces of weak discontinuities are established.
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