Dynamic behavior of rectangular crack in three-dimensional orthotropic elastic medium by means of non-local theory  

作　　者：Haitao LIU Zhengong ZHOU Haitao LIU Zhengong ZHOU(School of Mechanical Engineering, Hebei University of Technology Tianjin 300130, China Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin 150080, China)

机构地区：[1]School of Mechanical Engineering, Hebei University of Technology [2]Center for Composite Materials and Structures, Harbin Institute of Technology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2017年第2期173-190,共18页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.11272105 and 11572101)

摘　　要：The dynamic behavior of a rectangular crack in a three-dimensional （3D） orthotropic elastic medium is investigated under a harmonic stress wave based on the non-local theory. The two-dimensional （2D） Fourier transform is applied, and the mixed- boundary value problems are converted into three pairs of dual integral equations with the unknown variables being the displacement jumps across the crack surfaces. The effects of the geometric shape of the rectangular crack, the circular frequency of the incident waves, and the lattice parameter of the orthotropic elastic medium on the dynamic stress field near the crack edges are analyzed. The present solution exhibits no stress singularity at the rectangular crack edges, and the dynamic stress field near the rectangular crack edges is finite.The dynamic behavior of a rectangular crack in a three-dimensional （3D） orthotropic elastic medium is investigated under a harmonic stress wave based on the non-local theory. The two-dimensional （2D） Fourier transform is applied, and the mixed- boundary value problems are converted into three pairs of dual integral equations with the unknown variables being the displacement jumps across the crack surfaces. The effects of the geometric shape of the rectangular crack, the circular frequency of the incident waves, and the lattice parameter of the orthotropic elastic medium on the dynamic stress field near the crack edges are analyzed. The present solution exhibits no stress singularity at the rectangular crack edges, and the dynamic stress field near the rectangular crack edges is finite.

关 键 词：orthotropic elastic medium rectangular crack time-harmonic P-wave non-local theory 

分 类 号：O346.1[理学—固体力学]