Fracture analysis of interfacial crack in piezoelectric bimaterial by XIGA approach using Bezier extraction of NURBS

This work presents analyses of interfacial crack in piezoelectrics bimaterial plate under electromechanical loading environment by extended isogeometric analysis (XIGA) approach using Bezier extraction of NURBS. Asymptotic crack-tip branch functions and discontinuous Heaviside function are implemented for local enrichment in the approximation of isogeometric analysis for capturing singularity at cracktip and discontinuity across surfaces of a crack. Bezier extraction of NURBS-based basis functions are implemented in discretization of domain for approximating both unknown field solution and geometries. The Bezier extraction operation decomposes the NURBS basis functions into a set of linear combination of Bernstein polynomials and a set of C0-continuity Bezier elements. Domain-form interaction integral is implemented to obtain generalized fracture parameters. To assess the robustness and accuracy in results obtained from XIGA, numerical results are first validated from analytical ones and then additionally, few numerical problems are solved for calculating the fracture parameters in terms of normalized intensity factors with respect to shear loads, electrical loads, crack orientation angle and angle of polarization.

Automated summary

This work analyzes interfacial crack in piezoelectrics bimaterial plate under electromechanical loading environment using extended isogeometric analysis (XIGA) approach with Bezier extraction of NURBS. The study implements asymptotic crack-tip branch functions and discontinuous Heaviside function for capturing singularity at cracktip and discontinuity across surfaces of a crack. The results are validated and numerical problems are solved to calculate fracture parameters in terms of normalized intensity factors with respect to shear loads, electrical loads, crack orientation angle, and angle of polarization.