A comprehensive study on the 2D boundary element method for anisotropic thermoelectroelastic solids with cracks and thin inhomogeneities

Pasternak, Iaroslav; Pasternak, Roman; Sulym, Heorhiy

doi:10.1016/j.enganabound.2012.11.002

Cited by 18 publications

(8 citation statements)

References 18 publications

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“…The obtained integral equations are introduced into the scheme of the modified boundary elements method [17]. To solve them, the curves Γ = ⋃ Γ 𝑗 𝑗 are approximated using 𝑛 rectilinear segments (boundary elements) Γ 𝑞 .…”

Section: Numerical Examplesmentioning

confidence: 99%

Influence of Imperfect Interface of Anisotropic Thermomagnetoelectroelastic Bimaterial Solids on Interaction of Thin Deformable Inclusions

Sulym

Vasylyshyn

Pasternak

2022

Acta Mechanica Et Automatica

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This work studies the problem of thermomagnetoelectroelastic anisotropic bimaterial with imperfect high-temperature conducting coherent interface, whose components contain thin inclusions. Using the extended Stroh formalism and complex variable calculus, the Somigliana-type integral formulae and the corresponding boundary integral equations for the anisotropic thermomagnetoelectroelastic bimaterial with high-temperature conducting coherent interface are obtained. These integral equations are introduced into the modified boundary element approach. The numerical analysis of new problems is held and results are presented for single and multiple inclusions.

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Section: Numerical Examplesmentioning

confidence: 99%

Influence of Imperfect Interface of Anisotropic Thermomagnetoelectroelastic Bimaterial Solids on Interaction of Thin Deformable Inclusions

Sulym

Vasylyshyn

Pasternak

2022

Acta Mechanica Et Automatica

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“…and constitutive laws can be written in the following compact form [6,7]: σij,j + fi = 0, h i,i − f h = 0 (i = 1, .., 4; j = 1, 2) ;…”

Section: Governing Equations Of Thermoelectroelasticity Extended Stro...mentioning

confidence: 99%

“…Stroh orthogonality conditions [6] allow obtaining the following relations between the Stroh complex functions and vectors of extended displacement and stress function [7]:…”

Section: Governing Equations Of Thermoelectroelasticity Extended Stro...mentioning

confidence: 99%

“…(which should definitely satisfy the boundary conditions (7)) and the perturbed solution caused by the presence of the contours Γ 1 and Γ 2 , and certain boundary conditions set on them. Denoting the Cauchy integrals of the complex temperature functions g ′ i (z…”

Section: Heat Conductionmentioning

confidence: 99%

“…Therefore, this paper utilizes authors' novel complex variable approach [7,8] for obtaining of the Somigliana type integral formulae and integral equations for an anisotropic thermoelectroelastic bimaterial with thermally insulated interface in a strict and straightforward manner.…”

Section: Introductionmentioning

confidence: 99%

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2D integral formulae and equations for thermoelectroelastic bimaterial with thermally insulated interface

Pasternak¹,

Pasternak²,

Sulym³

2014

Math. Model. Comput.

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The paper presents a complex variable approach for obtaining of the integral formulae and integral equations for plane thermoelectroelasticity of an anisotropic bimaterial with thermally insulated interface. Obtained relations do not contain domain integrals and incorporate only physical boundary functions such as temperature, heat flux, extended displacement and traction, which are the main advances of these relations.

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Generalized Somigliana Identity for Thermomagnetoelectroelastic Anisotropic Bodies

Pasternak

Sulym²,

Pasternak

2015

J Math Sci

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A comprehensive study on the 2D boundary element method for anisotropic thermoelectroelastic solids with cracks and thin inhomogeneities

Cited by 18 publications

References 18 publications

Influence of Imperfect Interface of Anisotropic Thermomagnetoelectroelastic Bimaterial Solids on Interaction of Thin Deformable Inclusions

Influence of Imperfect Interface of Anisotropic Thermomagnetoelectroelastic Bimaterial Solids on Interaction of Thin Deformable Inclusions

2D integral formulae and equations for thermoelectroelastic bimaterial with thermally insulated interface

Generalized Somigliana Identity for Thermomagnetoelectroelastic Anisotropic Bodies

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