MATHEMATICAL MODEL OF MICROPOLAR THERMO-ELASTICITY OF THIN SHELLS

摘要

With the account of qualitative results of the asymptotic method of integration of the boundary-value problem of micropolar thermo-elasticity in three-dimensional thin domain of shell, adequate hypotheses are formulated. On the basis of these hypotheses, general mathematical models of micropolar thermo-elasticity of thin shells are constructed. Based on the constructed theories of thermo-elasticity of micropolar thin shells, main statements on the thermo-elasticity of microplar circular cylindrical shells are made. With the consideration of the irregular heating of axisymmetric thermo-elasticity, for the case of hinged supported edges, numerical results are obtained. Based on the analysis of numerical results, effects of micropolarity of the material are shown.