Version 1
: Received: 26 January 2024 / Approved: 28 January 2024 / Online: 29 January 2024 (09:51:07 CET)
How to cite:
Vahdati, A.; Salehi, M.; Vahabi, M.; Ghassemi, A.; Fesharaki, J.J. Transient Response of an Infinite Isotropic Magneto-Electro-Elastic Material with Multiple Axisymmetric Planar Cracks. Preprints2024, 2024011966. https://doi.org/10.20944/preprints202401.1966.v1
Vahdati, A.; Salehi, M.; Vahabi, M.; Ghassemi, A.; Fesharaki, J.J. Transient Response of an Infinite Isotropic Magneto-Electro-Elastic Material with Multiple Axisymmetric Planar Cracks. Preprints 2024, 2024011966. https://doi.org/10.20944/preprints202401.1966.v1
Vahdati, A.; Salehi, M.; Vahabi, M.; Ghassemi, A.; Fesharaki, J.J. Transient Response of an Infinite Isotropic Magneto-Electro-Elastic Material with Multiple Axisymmetric Planar Cracks. Preprints2024, 2024011966. https://doi.org/10.20944/preprints202401.1966.v1
APA Style
Vahdati, A., Salehi, M., Vahabi, M., Ghassemi, A., & Fesharaki, J.J. (2024). Transient Response of an Infinite Isotropic Magneto-Electro-Elastic Material with Multiple Axisymmetric Planar Cracks. Preprints. https://doi.org/10.20944/preprints202401.1966.v1
Chicago/Turabian Style
Vahdati, A., Aazam Ghassemi and Javad Jafari Fesharaki. 2024 "Transient Response of an Infinite Isotropic Magneto-Electro-Elastic Material with Multiple Axisymmetric Planar Cracks" Preprints. https://doi.org/10.20944/preprints202401.1966.v1
Abstract
Dynamic behavior of coaxial axisymmetric planar cracks in the transversely isotropic magneto-electro-elastic (MEE) material in transient in-plane magneto-electro-mechanical loading is studied. Magneto-electrically impermeable as well as permeable cracks are assumed for crack surface. In the first step, considering prismatic and radial dynamic dislocations, electric and magnetic jumps are obtained through Laplace and Hankel transforms. These solutions are utilized to derive singular integral equations in the Laplace domain for the axisymmetric penny-shaped and annular cracks. Derived Cauchy singular type integral equations are solved to obtain the density of dislocation on the crack surfaces. Dislocation densities are utilized in computation of the dynamic stress intensity factors, electric displacement and magnetic induction in the vicinity tips of crack tips. Finally, some numerical case studies of a single and multiple cracks are presented. The effect of system parameters on the results is then discussed.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
