AN ALGEBRAIC DECOMPOSITION OF HEMITROPIC PSEUDOTENSORS IN N DIMENSIONS AND APPLICATIONS TO MICROPOLAR CONTINUUM THEORIES

The paper is devoted to problems related algebraic decompositions and coordinate representations of tensors with constant components, hemitropic pseudotensors. Such objects tensor algebra are interesting from the micropolar continuum mechanics viewpoint. Algebraic properties pseudotensors components discussed. base examples usable in given. An algorithm for proposed by prof. G.B. Gurevich highlighted employed.The notions fully isotropic, conventionally unconventionally semi-isotropic (demitropic, hemitropic, chiral) fourth rank proposed. a Cartesian three-dimensional space obtained terms Kronecker delta metric products. Based on an unconventional definition tensor, general dimensions deltas A comparison arbitrary carried out. form elastic potential linear anisotropic pseudotensor technique. Obtained reduced one tensors. Coordinate constitutive mathematical modeling micropolarelastic continua as modification space.