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Fracture analysis of piezoelectromagnetic medium with axisymmetric cracks

机译：轴对称裂缝压电磁介质的断裂分析

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摘要

The present study evaluates, by the distributed dislocation technique, the generalized intensity factors for the multiple axisymmetric cracks in a transversely isotropic piezoelectromagnetic medium under in-plane magneto-electro-mechanical loading. To this end, the solution to the problem of generalized dislocations is first obtained with the aid of the Hankel transform. The generalized dislocation in the piezoelectromagnetic medium contains Volterra prismatic and Somigliana radial dislocations in the displacement components and jump in the electric and magnetic potentials. The distributed dislocation technique is used to formulate integral equations for a system of coaxial axisymmetric cracks, including penny-shaped and annular cracks. These integral equations are of Cauchy singular type, which are solved numerically to obtain the dislocation densities on the faces of the cracks and the results are used to determine generalized intensity factors for cracks. Finally, several examples to study the crack type/location on the ensuing generalized intensity factors at tips of cracks and also the interaction between the cracks are presented.
机译：本研究通过分布脱位技术评估了在面内磁力机械负载下横向各向同性压电型介质中的多轴对称裂缝的广义强度因子。为此，首先借助于Hankel变换获得通用脱位问题的解决方案。压电磁介质中的广义脱位含有volterra棱柱形和位移组件中的散脱偏移，并跳进电势。分布式位错技术用于制定用于同轴轴对称裂缝系统的整体方程，包括便士形和环形裂缝。这些整体方程具有Cauchy奇异类型，其在数值上进行解决以获得裂缝面上的位错密度，结果用于确定裂缝的广义强度因子。最后，提出了几个研究裂缝尖端的裂纹类型/位置的裂缝类型/位置，并且呈现了裂缝之间的相互作用。

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