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RESEARCH PRODUCT

Multidomain boundary integral formulation for piezoelectric materials fracture mechanics

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Abstract A boundary element method and its numerical implementation for the analysis of piezoelectric materials are presented with the aim to exploit their features in linear electroelastic fracture mechanics. The problem is formulated employing generalized displacements, that is displacements and electric potential, and generalized tractions, that is tractions and electric displacement. The generalized displacements boundary integral equation is obtained by using the closed form of the piezoelasticity fundamental solutions. These are derived through a displacement based modified Lekhnitskii’s functions approach. The multidomain boundary element technique is implemented to achieve the numerical solution. Results are presented for typical fracture mechanics problems. The generalized stress intensity factors and the generalized relative crack displacements are computed to show the soundness of the approach. The results obtained are also analyzed to highlight some interesting features of the electroelastic coupling effects.