A new framework based on XFEM to study the role of electrostatic tractions in semipermeable piezoelectric material. (1st May 2022)

• Record Type: Journal Article
• Authors: Jena, J.; Singh, S.K.; Gaur, V.; Singh, I.V.; Natarajan, S.
• Is Part Of: Engineering fracture mechanics. Volume 266(2022)
• Publication Date: 2022-05-01
• Subjects: Electrostatic tractions -- Piezoelectric material -- Semipermeable boundary condition -- Electric displacement intensity factor; Fracture mechanics -- Periodicals; Rupture, Mécanique de la -- Périodiques; Fracture mechanics; Periodicals; 620.112605
• DOI: 10.1016/j.engfracmech.2022.108398
• Languages: English
• ISSNs: 0013-7944

Abstract

Highlights: A crack opening model based on XFEM has been proposed to study the role of electrostatic tractions in cracked semipermeable piezoelectric material. The electromechanical interaction integral approach is adopted to evaluate EDIF. The EDIF obtained using the proposed model is found in excellent agreement with the analytical solution. The effect of crack length, polarization angle, far-field loading, and electrostatic tractions is studied on EDIF. Abstract: In this work, a crack opening model is proposed to study the role of electrostatic tractions in a cracked semipermeable piezoelectric material. The extended finite element method (XFEM) is used in conjunction with six-fold electro-mechanical enrichment functions to capture the singularity and the discontinuous surface independent of the background mesh. The electric displacement intensity factor (EDIF) is evaluated using an electromechanical interaction integral approach in the presence of a dielectric medium inside the crack cavity. The accuracy of the proposed XFEM based approach is verified by comparing the numerical results with available analytical solutions. Further, a systematic numerical study is done to study the influence of electrostatic tractions on the EDIF using different crack configurations under far-field loading.