Zhao, YanFei; Guo, YaGuang; Miao, TongChen; Zhao, MingHao; Fan, CuiYing An iterative approach for analyzing cracks in two-dimensional piezoelectric media with exact boundary conditions. (English) Zbl 1403.74093 Eng. Anal. Bound. Elem. 90, 76-85 (2018). Summary: An iterative approach is proposed for analyzing cracks in two-dimensional piezoelectric media based on the sub-region boundary element formulation with exact boundary conditions on the crack face. In this approach, the opening crack cavity is treated as one of the sub-regions governed by the Poisson equation of electric potential. The real crack opening, the crack cavity region, and the field in the cavity region are determined for the geometrically nonlinear problem. The widely used approximate crack models corresponding to three approximate boundary conditions are evaluated based on the proposed approach. The proposed approach is implemented efficiently to analyze problems with very thin domains, such as the crack opening cavity, and employing the intelligent adaptive algorithms in the Mathematica software means that nearly singular integrals require no special treatment. MSC: 74R10 Brittle fracture 65N38 Boundary element methods for boundary value problems involving PDEs 74F15 Electromagnetic effects in solid mechanics Keywords:piezoelectric material; sub-region BEM; boundary condition; crack; intensity factor PDFBibTeX XMLCite \textit{Y. Zhao} et al., Eng. Anal. Bound. Elem. 90, 76--85 (2018; Zbl 1403.74093) Full Text: DOI References: [1] Suo, Z; Kuo, CM; Barnett, DM; Willis, JR, Fracture mechanics for piezoelectric ceramics, J Mech Phys Solids, 40, 739-765, (1992) · Zbl 0825.73584 [2] Qin, QH, Fracture mechanics of piezoelectric materials. 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