Crack-tip field properties of an inclined crack terminating at the interface of anisotropic magnetoelectroelastic bimaterials

Abstract

In this paper, it is firstly derived for the analytic expressions of the crack-tip field when an inclined crack terminates at the interface of anisotropic (AI) magnetoelectroelastic bimaterials based on the Stroh method and the concept of axis conjugation. Particular attention is then paid to how the crack-interface angle and the constituent material properties affect the crack-tip (extended stress) singularity. By the example analyses, lots of key and novel conclusions have been drawn. Among others, for the AI magnetoelectroelastic (MEE) bimaterials, when the crack-interface angle approaches 0° or 180°, all four singularity indices exhibit oscillatory characteristics, in which two of them form a pair with equal real parts and imaginary parts opposite in sign. As the crack-interface angle varies to 90°, the oscillatory singularity disappears, but the strength of crack-tip singularity progressively intensifies. For the transversely isotropic MEE bimaterials, increasing the similarity of constituent material properties will mitigate crack-tip oscillatory behavior, while raising the BaTiO₃ volume fraction in the cracked medium will effectively reduce the crack-tip singularity. These findings are expected to be instructive for the design and application of electro-magneto-mechanical multi-field coupled layered structures and/or devices.

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