Thermoelasticity if isotropic solids containing non-deformable thread-like inclusions

Fìz.-mat. model. ìnf. tehnol. 2020, 28:33-41

Authors

  • Jaroslav Pasternak LUTSK NATIONAL TECHNICAL UNIVERSITY
  • Heorhiy Sulym Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine
  • Nataliia Ilchuk LUTSK NATIONAL TECHNICAL UNIVERSITY

DOI:

https://doi.org/10.15407/fmmit2020.28.033

Keywords:

thread-like inclusions, thermoelasticity, integral equation, hypersingular

Abstract

The paper derives integral equations of heat conduction and thermoelasticity of isotropic solids with non-deformable perfectly thermally conducting thread-like inclusions. It is observed that, in spite of the order of singularity, the integral equations obtained are hypersingular due to the symmetry of the kernels. Non-integral terms of these equations are derived. A boundary element method scheme for numerical solution of formulated problems is proposed. A numerical example is provided.

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Published

2020-01-27

How to Cite

Pasternak, J., Sulym, H., & Ilchuk, N. (2020). Thermoelasticity if isotropic solids containing non-deformable thread-like inclusions: Fìz.-mat. model. ìnf. tehnol. 2020, 28:33-41. PHYSICO-MATHEMATICAL MODELLING AND INFORMATIONAL TECHNOLOGIES, (28, 29), 33–41. https://doi.org/10.15407/fmmit2020.28.033