表面荷载下横观各向同性介质中水平裂纹分析  

Analysis on Horizontal Crack Problems in a Transversely Isotropic Medium Subject to Surface Loading

作　　者：王炳军 肖洪天[1,2] 党彦 岑达[4] 张舜庆[1,2] Wang Bingjun;Xiao Hongtian;Dang Yan;Cen Da;Zhang Shunqing(School of Civil Engineering and Architecture,Shandong University of Science and Technology,Qingdao,Shandong 266590;Shandong Key Laboratory of Civil Engineering Disaster Prevention and Mitigation,Shandong University of Science andTechnology,Qingdao,Shandong 266590,P.R.China;School of Architecture and Engineering,Qingdao Binhai University ,Qingdao,Shandong 266555,P.R.China;Zhejiang Provincial No.1 Water Conservancy & Electric Power Construction Group Holdings Co.,Ltd.,HangZhou 310051,P.R.China)

机构地区：[1]山东科技大学土木工程与建筑学院,山东青岛266590 [2]山东科技大学山东省土木工程防灾减灾重点实验室,山东青岛266590 [3]青岛滨海学院建筑工程学院,山东青岛266555 [4]浙江省第一水电建设集团股份有限公司,杭州310051

出　　处：《地下空间与工程学报》2019年第3期778-785,901,共9页Chinese Journal of Underground Space and Engineering

基　　金：国家自然科学基金(41672291);青岛博士后应用研究项目(2015192)

摘　　要：首先采用基于横观各向同性双材料基本解的一种数值方法计算半无限介质的弹性场,然后根据线弹性断裂力学叠加原理获得裂纹处的内应力,再利用另一种数值方法获得裂纹面的张开或滑移位移,最后应用应力强度因子(SIF)与裂纹面位移之间的关系,获得裂尖SIF值。基于建议的方法,讨论了表面矩形荷载作用下横观各向同性半无限介质中的单条裂纹问题以及两条裂纹间的相互影响问题。分析结果表明:加载面中心点下单条裂纹应力强度因子开始随距离自由面深度的增加而增大,达到一定深度后减小;相邻裂纹的存在对加载面中心点下裂纹的影响除相隔最近的相邻裂尖外均为抑制效应;而加载面中心点下裂纹的存在对相邻裂纹的影响主要体现在相隔最近的相邻裂尖上。Based on the fundamental solutions for two joined transversely isotropic solids, a novel numerical method used to analyze the problem of the crack in a transversely isotropic half-space was developed. The stress fields of a transversely isotropic half-space without cracks were firstly calculated by one numerical method based on the same fundamental solutions. And the traction acting on the crack surfaces was obtained according to the superposition principle in fracture mechanics. The discontinuous displacements of crack surfaces were then gained by another numerical method also based the same fundamental solutions. The stress intensity factor ( SIF) was finally achieved by the relation between the SIF and the discontinuous displacements. A single crack and its interaction with the other crack were respectively investigated using the proposed method. Results show that the SIF value of a single crack under the center point of the loading area increases with the depth of the crack from free surface at the beginning and decreases after reaching a certain depth. The crack under the center point of loading area presents suppression effects except for the nearest neighboring crack tip due to the existence of adjacent crack. But the influence of the crack under the center point of the loading area on another adjacent crack mainly appears on the nearest neighboring crack tip from the crack under the center point.

关 键 词：数值方法 裂纹 应力强度因子 表面荷载 横观各向同性介质 

分 类 号：TU431[建筑科学—岩土工程]