Interaction between a punch and an arbitrary crack or inclusion in a transversely isotropic half-space

Fabrikant, I. I.; Karapetian, E.; Kalinin, Sergei V.

doi:10.1007/s00033-017-0894-5

Cited by 3 publications

(3 citation statements)

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“…However, there is much less publications concerning anti‐cracks in anisotropic solids comparing to crack problems. Fabrikant et al . provided the analysis of transversely‐isotropic half‐space containing a crack or inclusion under the action of a rigid punch.…”

Section: Introductionmentioning

confidence: 99%

“…Multiple rigid thin-walled inclusions interacting in isotropic elastic solids were considered by Mykhas'kiv et al [11,12] However, there is much less publications concerning anti-cracks in anisotropic solids comparing to crack problems. Fabrikant et al [13] provided the analysis of transversely-isotropic half-space containing a crack or inclusion under the action of a rigid punch. Kaczyński and Kozłowski [14] studied thermal stress in elastic medium containing flat rigid inclusion.…”

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confidence: 99%

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Boundary element analysis of 3D shell‐like rigid electrically conducting inclusions in anisotropic thermomagnetoelectroelastic solids

2019

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The paper presents general boundary element approach for analysis of thermomagnetoelectroelastic solids containing shell‐like electrically conducting inclusions with high magnetic permittivity. The latter are modeled with opened surfaces with certain boundary conditions on their faces. Rigid displacement and rotation, along with constant electric and magnetic potentials of inclusions are accounted for in these boundary conditions. Formulated boundary value problem is reduced to a system of singular boundary integral equations, which is solved numerically by the boundary element method. Special attention is paid to the field singularity at the front line of a shell‐like inclusion. Special shape functions are introduced, which account for this square‐root singularity and allow accurate determination of field intensity factors. Approaches for fast and accurate numerical evaluation of anisotropic thermomagnetoelectroelastic kernels are discussed, which are crucial in derivation of fast and precise boundary element approach. Numerical examples are presented.

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Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

Boundary element analysis of 3D shell‐like rigid electrically conducting inclusions in anisotropic thermomagnetoelectroelastic solids

2019

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“…There are not so much publications concerning anti-cracks in anisotropic solids comparing to crack problems. Fabrikant [3] et al provided the analysis of transversely-isotropic half-space containing a crack or inclusion under the action of a rigid punch. Kaczyński and Koz lowski [4] studied thermal stress in elastic medium containing flat rigid inclusion.…”

Section: Introductionmentioning

confidence: 99%

Boundary Element Modeling of Pyroelectric Solids with Shell Inclusions

Sulym

Pasternak

2018

Mechanics and Mechanical Engineering

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The paper presents general boundary element approach for analysis of thermoelectroelastic (pyroelectric) solids containing shell-like electricity conducting permittive inclusions. The latter are modeled with opened surfaces with certain boundary conditions on their faces. Rigid displacement and rotation, along with constant electric potential of inclusions are accounted for in these boundary conditions. Formulated boundary value problem is reduced to a system of singular boundary integral equations, which is solved numerically by the boundary element method. Special attention is paid to the field singularity at the front line of a shell-like inclusion. Special shape functions are introduced, which account for this square-root singularity and allow accurate determination of field intensity factors. Numerical examples are presented.

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