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Magnetoelectroelastodynamic interaction of multiple arbitrarily oriented planar cracks

机译:多个任意取向的平面裂纹的磁电弹性相互作用

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摘要

The problem of multiple arbitrarily oriented planar cracks in an infinite magnetoelectro-elastic space under dynamic loadings is considered. An explicit solution to the problem is given in the Laplace transform domain in terms of suitable exponential Fourier integral representations. The unknown functions in the Fourier integrals are directly related to the Laplace transform of the jumps in the displacements, electric potential and magnetic potential across opposite crack faces and are to be determined by solving a system of hypersingular integral equations. Once the hypersingular integral equations are solved, the displacements, electric potential, magnetic potential and other quantities of interest such as the crack tip intensity factors may be easily computed in the Laplace transform domain and recovered in the physical space with the help of a suitable algorithm for inverting Laplace transforms.
机译:考虑了无限载荷作用下无限大的磁电弹性空间中的多个任意取向的平面裂纹问题。在拉普拉斯变换域中,根据合适的指数傅立叶积分表示,给出了对该问题的明确解决方案。傅立叶积分中的未知函数直接与相对裂纹面上的位移,电势和磁势跃变的拉普拉斯变换有关,并且将通过求解超奇异积分方程组来确定。一旦解决了超奇异积分方程,就可以轻松地在拉普拉斯变换域中计算位移,电势,磁势和其他感兴趣的量(如裂纹尖端强度因子),并借助合适的算法在物理空间中进行恢复。用于反转Laplace变换。

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