Boundary integral equations for 2D thermoelectroelasticity of a half-space with cracks and thin inclusions

Pasternak, Iaroslav; Pasternak, Roman; Sulym, Heorhiy

doi:10.1016/j.enganabound.2013.08.008

Cited by 10 publications

(6 citation statements)

References 18 publications

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“…(1) = [ 21 , 11 , 31 ] T , Obtained dual boundary integral equations along with the models of thin thermoelastic inclusions (Pasternak et al, 2013a) allow solving thermoelastic problems for a bimaterial solid with thermally imperfect interface, which components contain thin inhomogeneities.…”

Section: (55)mentioning

confidence: 99%

Boundary Integral Equations for an Anisotropic Bimaterial with Thermally Imperfect Interface and Internal Inhomogeneities

Sulym

Pasternak

Tomashivskyy

2016

Acta Mechanica Et Automatica

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This paper studies a thermoelastic anisotropic bimaterial with thermally imperfect interface and internal inhomogeneities. Based on the complex variable calculus and the extended Stroh formalism a new approach is proposed for obtaining the Somigliana type integral formulae and corresponding boundary integral equations for a thermoelastic bimaterial consisting of two half-spaces with different thermal and mechanical properties. The half-spaces are bonded together with mechanically perfect and thermally imperfect interface, which model interfacial adhesive layers present in bimaterial solids. Obtained integral equations are introduced into the modified boundary element method that allows solving arbitrary 2D thermoelacticity problems for anisotropic bimaterial solids with imperfect thin thermo-resistant inter-facial layer, which half-spaces contain cracks and thin inclusions. Presented numerical examples show the effect of thermal resistance of the bimaterial interface on the stress intensity factors at thin inhomogeneities.

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Section: (55)mentioning

confidence: 99%

Boundary Integral Equations for an Anisotropic Bimaterial with Thermally Imperfect Interface and Internal Inhomogeneities

Sulym

Pasternak

Tomashivskyy

2016

Acta Mechanica Et Automatica

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“…According to [8], integral formulae (10) can be reduced to the following line integrals of the first kind…”

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%

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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“…In this paper, the methods based on the complex variable calculus, the Stroh formalism, the jump function method and the BEM (Pasternak, 2012;Pasternak et al, 2013) are used to obtain new integral formulas and equations for anisotropic thermoelastic half-space with holes, cracks and thin deformable inclusions, taking into account all possible mixed mechanical and thermal boundary conditions on its boundary.…”

Section: Introductionmentioning

confidence: 99%

Mixed Boundary Value Problem for an Anisotropic Thermoelastic Half-Space Containing Thin Inhomogeneities

Sulym

Pasternak

Smal

et al. 2019

Acta Mechanica Et Automatica

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The paper presents a rigorous and straightforward approach for obtaining the 2D boundary integral equations for a thermoelastic half-space containing holes, cracks and thin foreign inclusions. It starts from the Cauchy integral formula and the extended Stroh formalism which allows writing the general solution of thermoelastic problems in terms of certain analytic functions. In addition, with the help of it, it is possible to convert the volume integrals included in the equation into contour integrals, which, in turn, will allow the use of the method of boundary elements. For modelling of solids with thin inhomogeneities, a coupling principle for continua of different dimensions is used. Applying the theory of complex variable functions, in particular, Cauchy integral formula and Sokhotski–Plemelj formula, the Somigliana type boundary integral equations are constructed for thermoelastic anisotropic half-space. The obtained integral equations are introduced into the modified boundary element method. A numerical analysis of the influence of boundary conditions on the half-space boundary and relative rigidity of the thin inhomogeneity on the intensity of stresses at the inclusions is carried out.

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Boundary integral equations for 2D thermoelectroelasticity of a half-space with cracks and thin inclusions

Cited by 10 publications

References 18 publications

Boundary Integral Equations for an Anisotropic Bimaterial with Thermally Imperfect Interface and Internal Inhomogeneities

Boundary Integral Equations for an Anisotropic Bimaterial with Thermally Imperfect Interface and Internal Inhomogeneities

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

Mixed Boundary Value Problem for an Anisotropic Thermoelastic Half-Space Containing Thin Inhomogeneities

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