Singularity Analysis Of An Interface Crack Between Piezoelectric And Orthotropic Half-Spaces

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  • In this paper, an interface crack between piezoelectric and orthotropic half-spaces has been studied in detail. By using integral transformation techniques, the present mixed boundary value problem was reduced to the solution of singular integral equations, which can be further reduced to solving a Riemann-Hilbert problem with a closed form solution. The crack-tip singularities of the interface crack have been investigated for possible combinations of the piezoelectric and orthotropic materials; a criterion based on the g-parameter of the Riemann-Hilbert problem is introduced to study the possible singularity behavior of the interface crack. It is shown that there can be either oscillatory or non- oscillatory singularity for the interface crack depending on the particular combinations of the bi-materials. A closed form solution for stresses, electric field and electric displacement in the cracked bi-materials is given, and of particular interests, the analytical expression of the stresses and electric displacements along the interface has been obtained.

    Part of Proceedings of the Canadian Society for Mechanical Engineering International Congress 2022.

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    Attribution-NonCommercial 4.0 International