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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Dynamic response of a cracked magnetoelectroelastic layer sandwiched between two elastic layers
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Dynamic response of a cracked magnetoelectroelastic layer sandwiched between two elastic layers

机译:夹在两个弹性层之间的裂纹磁电弹性层的动力响应

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摘要

The dynamic response of a cracked magnetoelectroelastic layer sandwiched between dissimilar elastic layers under anti-plane shear and in-plane electric and magnetic impacts is investigated by the integral transform method. Fourier transforms and Laplace transforms are applied to reduce the mixed boundary value problem of the impermeable crack to simultaneous dual integral equations, which are then expressed in terms of simultaneous Fredholm integral equations of the second kind. The stress field, electric field and magnetic field near the crack tip are obtained asymptotically, and the corresponding field intensity factors are further determined. Numerical results show that the stress intensity factors are influenced by the material properties, the electric and magnetic loadings, and the geometry. The crack initiation can be enhanced or retarded depending on the electric and magnetic loading, and the crack may propagate along its original crack line when the criterion of maximum hoop stress is applied.
机译:通过积分变换法研究了夹在不同弹性层之间的裂纹电磁电弹性层在反平面剪切和平面内电磁力作用下的动力响应。应用傅里叶变换和拉普拉斯变换将不渗透裂缝的混合边值问题简化为联立对偶积分方程,然后用第二类联立Fredholm积分方程表示。渐近地获得裂纹尖端附近的应力场,电场和磁场,并进一步确定相应的场强因子。数值结果表明,应力强度因子受材料性能,电磁载荷和几何形状的影响。裂纹的萌生可以根据电磁负载而增强或延迟,并且当应用最大环向应力准则时,裂纹可能沿其原始裂纹线传播。

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