Dynamic crack analysis in piezoelectric solids under time-harmonic loadings with a symmetric Galerkin boundary element method. (November 2017)

• Record Type: Journal Article
• Authors: Wünsche, M.; Sladek, J.; Sladek, V.; Zhang, C.; García-Sánchez, F.; Sáez, A.
• Is Part Of: Engineering analysis with boundary elements. Volume 84(2017)
• Page Start: 141
• Page End: 153
• Publication Date: 2017-11
• Subjects: Frequency-domain SGBEM -- Piezoelectric composites -- Semi-permeable crack-face condition -- Dynamic crack analysis; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2017.08.013
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: This paper presents the dynamic crack analysis in two-dimensional (2D) and linear piezoelectric composites. Stationary cracks in infinite and finite piezoelectric solids subjected to different time-harmonic loadings are investigated. A symmetric Galerkin boundary element method (SGBEM) is developed for this purpose. The frequency-domain fundamental solutions for linear piezoelectric solids are utilized. The double boundary integrals are computed analytically for straight elements to enhance the efficiency of the present SGBEM. Non-linear electrical crack-face boundary conditions are applied to take the limited electrical permeability of the crack into account. Numerical examples are presented and discussed to show the accuracy of the presented frequency-domain SGBEM and the influences of the coupled fields on the dynamic field intensity factors.