A set of collinear electrically and magnetically permeable cracks between two piezoelectromagnetic materials


  • N. V. Shevelova Oles Honchar Dnipro National University
  • T. V. Khodanen Oles Honchar Dnipro National University




piezoelectromagnetic, interface, cracks set


The plane strain problem for the bimaterial space consisting of two piezoelectromagnetic half-spaces with a finite set of cracks along the material interface is considered. It is assumed that the edges of the crack are electrically and magnetically permeable, and a mixed mechanical load and electric and magnetic fields can be set at infinity.

The presentations of electro-magneto-mechanical quantities through a piecewise analytical vector function are constructed with the use of constitutive equations for piezoelectromagnetic materials. By means of these presentations the problem of linear relationship is formulated and solved analytically. Using the obtained solution, all the necessary mechanical, electrical, and magnetic components along the material interface as well as the energy release rate for all crack tips are found analytically. The asymptotic presentations of all fields around the crack tips and the crack closure integral method were used.

Numerical results are obtained for different loads, location of the cracks, their number and lengths. A significant increase in energy release rates was demonstrated because of cracks converge, especially for the tips located closest to each other.

Pages of the article in the issue: 164 - 167

Language of the article: Ukrainian


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How to Cite

Shevelova, N. V., & Khodanen, T. V. (2023). A set of collinear electrically and magnetically permeable cracks between two piezoelectromagnetic materials. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (2), 164–167. https://doi.org/10.17721/1812-5409.2023/2.29



Differential equations, mathematical physics and mechanics