文献类型：期刊文献

英文题名：A crack with surface effects in a piezoelectric material

作者：Wang, Xu[1];Zhou, Kun[2]

机构：[1]East China Univ Sci & Technol, Sch Mech & Power Engn, Shanghai, Peoples R China;[2]Nanyang Technol Univ, Sch Mech & Aerosp Engn, Singapore, Singapore

年份：2017

卷号：22

期号：1

起止页码：3

外文期刊名：MATHEMATICS AND MECHANICS OF SOLIDS

收录：;EI(收录号：20170203235944);WOS:【SCI-EXPANDED(收录号:WOS:000391572300001)】；

基金：The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work was supported by the National Natural Science Foundation of China (Grant No: 11272121) and Agency for Science, Technology and Research, Singapore (SERC Grant No: 112 290 4015).

语种：英文

外文关键词：Surface piezoelectricity; anti-plane deformation; Green's function; crack; logarithmic singularity; Cauchy singular integro-differential equation

摘要：We study the contribution of surface piezoelectricity to the anti-plane deformations of a hexagonal piezoelectric material weakened by a crack. The surface piezoelectricity is incorporated by using an extended version of the continuum-based surface/interface model of Gurtin and Murdoch. The original boundary value problem is finally reduced to a system of two coupled first-order Cauchy singular integro-differential equations by considering a distribution of line dislocations and electric-potential-dislocations on the crack. Through a diagonalization strategy, the coupled system can be transformed into two independent singular integro-differential equations, each of which contains only one single unknown function and can be numerically solved by the collocation method. Our solution demonstrates that the stresses, strains, electric displacements and electric displacements exhibit the logarithmic singularity at the crack tips. The obtained solution is further used to predict the size-dependent effective electroelastic properties of a piezoelectric solid containing multiple nanocracks with surface piezoelectricity within the framework of non-interaction approximation.