Compatibility conditions and equations of motion in the linear micropolar theory of elasticity |
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Authors: | M U Nikabadze |
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Institution: | 1.Faculty of Mechanics and Mathematics,Moscow State University,Leninskie Gory, Moscow,Russia |
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Abstract: | An analog of Cesàro’s formula and several compatibility conditions are given for the three-dimensional and two-dimensional
linear micropolar theory of elasticity in the form different from that used in the literature. A number of formulas are obtained
to determine the antisymmetric part of the strain (stress) tensor in terms of the symmetric part of the strain tensor and
the symmetric part of the bending-torsion (stress and couple-stress) tensor and to determine the antisymmetric part of the
bending-torsion (couple-stress) tensor in terms of the symmetric part of the bending-torsion (couplestress) tensor. Some integro-differential
equations of motion expressed in terms of the symmetric parts of the stress and couple-stress tensors are proposed for the
micropolar theory of elasticity. |
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Keywords: | |
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