This paper concerns an application of the theory of rational invariants for deriving the cubic approximations of energy forms for the potentials of force and couple stresses in the hemitropic micropolar elastic bodies. The A-representation method is the most appropriate for given such potentials, which makes it possible to easily obtain an approximation of a prescribed degree as a polynomial linear combination of rational invariants with respect to the hemitropic group of transformations of the three-dimensional space. Within the framework of this study, the analysis is caried our by considering on a complete irreducible set of 86 individual and joint hemitropic integral rational algebraic invariants for a system of two symmetric and two antisymmetric second-rank tensors. The obtained set of invariants is then used to obtain the cubic energy form approximation and determine a complete set of 37 constitutive constants. Requisite formulas are find out to derive the constitutive equations of hemitropic micropolar elasticity.
Murashkin et al. (Mon,) studied this question.