The paper contains new results related to extension of the field theoretical approach and its formalism to non-linear coupled
micropolar thermoelastic media. A mathematical model of micropolar (MP) type-II (GNII) thermoelastic (TE) continuum is considered.
A formulation of the least thermoelastic action principle is discussed. Partial differential equations subsequent to the least action
principle are derived. The translational symmetries of non-linear Lagrangians are adopted. Those include an additional symmetry:
