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By Korchmaros G.

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212]; Ignaczak [113], [114]. 38 1. 2). In [3] we offer an alternative method of recovering (u,

Ii - e. 4), when solved for strains, take the following equivalent form in D x T: (1. 70) where e = 2fJ, 1 + 3A (akk + 3v T e) and the parentheses ( . ] denote the symmetric part and the antisymmetric part of a tensor, respectively. 69) to the form in D x T+: P-lRi j , I.. + J- 1 Eijk M k - -a(ji) 2fJ, J- 1 M I . i,j - 2, fJ,(ji) 1· eii - -e 'K, . 1 .. 2c fJ,lji] - - 1 alji] .. -2 a 1 (\" + -2fJ, Ae - (3.. 71) Q TJoe = - - , K, where The initial conditions for the triple (g, IL, e) which satisfies the field equations (1.

The fundamental equations of the micropolar theory of elasticity and the limiting theories, such as the equations of equilibrium, the equations of motion (expressed in terms of stresses, displacements or rotations), the compatibility equations, and the heat conduction equations are linear differential equations with partial derivatives. The problems of existence and uniqueness of solutions, as well as the continuous dependence of a solution on the initialboundary conditions, belong to the most difficult ones in every theory.

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