<p>We propose a method for solving two-dimensional problems of thermomagnetoelectroelasticity for finite bimaterial bodies connected by a thin bonding layer (interface) with high thermal conductivity and containing thin inclusions sensitive to the influence of physicomechanical fields. Based on the extended Stroh formalism and the theory of functions of complex variable, we construct Somigliana-type integral equations for the solution of which, we use a modified boundary-element method. We also propose a procedure for verifying integral equations and the computational scheme applied for their solving. We also perform the numerical calculations and analysis of the solutions of numerous problems posed for finite bodies containing inclusions.</p>

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Thermomagnetoelectroelasticity of Finite Bimaterial Bodies in the Presence of a Bonding Interface with High Thermal Conductivity and Internal Thin Inhomogeneities

  • H. T. Sulym,
  • Ia. M. Pasternak,
  • A. V. Vasylyshyn

摘要

We propose a method for solving two-dimensional problems of thermomagnetoelectroelasticity for finite bimaterial bodies connected by a thin bonding layer (interface) with high thermal conductivity and containing thin inclusions sensitive to the influence of physicomechanical fields. Based on the extended Stroh formalism and the theory of functions of complex variable, we construct Somigliana-type integral equations for the solution of which, we use a modified boundary-element method. We also propose a procedure for verifying integral equations and the computational scheme applied for their solving. We also perform the numerical calculations and analysis of the solutions of numerous problems posed for finite bodies containing inclusions.