Thermomagnetoelectroelasticity of anisotropic solids with spatial non-flat thin inclusions https://doi.org/10.33108/visnyk_tntu2017.04.016
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Abstract
Based on the application of coupling principle for continua of different dimension the mathematical models of thin deformable inclusions for thermomagnetoelectroelastic solids are proposed.
Corresponding integral equations are derived and the boundary element method for their solution is developed.
The key features of the latter are the usage of discontinuous boundary elements, special shape functions, nonlinear mappings for smoothing the sub-integral at the element’s boundary and the modified Kutt’s quadrature for
numerical evaluation of singular integrals. All these made possible to develop efficient numerical approach for the solution of the stated problem class. Numerical example is considered, which studies thin inhomogeneity of paraboloidal shape.
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