FEM-SGBEM coupling for modeling of cracks in three-dimensional elastic media with influence of surface stresses
This paper presents a computationally efficient numerical technique capable of modeling isolated planar cracks in three-dimensional linear elastic media by taking the influence of surface stresses into account.The majority of a medium (i.e.,a bulk) is modeled by a classical theory of linear elasticity whereas the crack surface is treated as a zero-thickness layer bonded perfectly to the bulk with its behavior governed by Gurtin-Murdoch surface elasticity model.Governing equations of the bulk is formulated in terms of weakly singular,weak-form boundary integral equations whereas those of the surface are cast in a weak form using a weight residual technique.An approximate solution of a final system of governing equations is subsequently obtained by using a numerical procedure based primarily on a standard finite element technique and a weakly singular,symmetric Galerkin boundary element method.Extensive numerical simulations are conducted and obtained results are then compared with available benchmark solutions to verify the formulation and implementation.Applications of the technique to the analysis of nano-crack problems are also presented for selected case to study the nano-scale influence and size-dependency behavior.
Surface elasticity Nano-cracks Gurtin-Murdoch SGBEM Crack opening displacement
Binh T. Nguyen Jaroon Rungamornrat Teerapong Senjuntichai Anil C. Wijeyewickrema
Department of Civil Engineering,Faculty of Engineering,Chulalongkorn University,Bangkok 10330,Thaila Department of Civil and Environmental Engineering,Tokyo Institute of Technology,Tokyo 152-8552,Japan
国际会议
北京
英文
1-10
2013-06-16（万方平台首次上网日期，不代表论文的发表时间）