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<p>The present article aims to inquire the response of torsional impact on a&#xa0;penny shaped crack positioned at the intersection of an isotropic half space and a&#xa0;transversely isotropic magnetoelastic layer of finite thickness. The physical problem has been converted to a&#xa0;pair of dual integral equation with the use of boundary conditions, Laplace and Hankel transformation approach. A trial solution has been considered to reduce dual integral equations into a&#xa0;Fredholm integral equation in the Laplacian domain. Later, Fox and Goodwin’s procedure has been adopted to solve the reduced integral equation numerically. The implicit expression of stress intensity factor around the crack periphery has been calculated utilizing Zakian’s inversion formulae and displayed graphically against time for different parameters to demonstrate the influence of torsional impact and the magnetized layer over the crack boundary.</p>

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Impact of Torsional Load on a Penny-shaped Crack at the Interface of a Magnetoelastic Layer and a Semi-infinite Medium

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Ujjal Dhabal,
  • Subhas Chandra Mandal

摘要

The present article aims to inquire the response of torsional impact on a penny shaped crack positioned at the intersection of an isotropic half space and a transversely isotropic magnetoelastic layer of finite thickness. The physical problem has been converted to a pair of dual integral equation with the use of boundary conditions, Laplace and Hankel transformation approach. A trial solution has been considered to reduce dual integral equations into a Fredholm integral equation in the Laplacian domain. Later, Fox and Goodwin’s procedure has been adopted to solve the reduced integral equation numerically. The implicit expression of stress intensity factor around the crack periphery has been calculated utilizing Zakian’s inversion formulae and displayed graphically against time for different parameters to demonstrate the influence of torsional impact and the magnetized layer over the crack boundary.