microstructure, micropolarity, director, strong rupture, compatibility condition, Lagrangian, isotropy, hemitropia, additive technologies

The paper deals with the regular procedures for deriving compatibility conditions on the surfaces of strong discontinuities in thermoelastic micropolar media. The jump conditions of the Piola–Kirchhoff 4-pseudotensor and the energy-momentum 4-pseudotensor are derived from the principle of least action. The compatibility conditions on the propagating strong discontinuity surface are explicitly formulated for a micropolar thermoelastic continuum. The developed pseudotensor formulation of the compatibility conditions for strong discontinuities can be applied to the dynamic problems for isotropic and hemitropic micropolar thermoelastic media.

Evgenii V. Murashkin, Cand. Sc., PhD, MD, Senior Researcher, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, 101, korp. 1, pr. Vernadskogo, Moscow, 119526, Russian Federation.

Yuri N. Radayev, D. Sc., PhD, MSc, Professor of Continuum Mechanics, Leading Researcher, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, 101, korp. 1, pr. Vernadskogo, Moscow, 119526, Russian Federation.