个人信息Personal Information
教授
博士生导师
硕士生导师
任职 : 国家重大专项专家组成员、教育部热防护专业组组长、国际华人计算力学协会理事、中国航空学会理事、中国航空学会强度与设计专业委员会委员、国际边界单元法协会会员、教育部高等学校航空航天类专业教学指导委员会委员
性别:男
毕业院校:Glasgow University
学位:博士
所在单位:力学与航空航天学院
办公地点:海宇楼403A
联系方式:0411-84706332
电子邮箱:xwgao@dlut.edu.cn
Galerkin free element method and its application in Fracture Mechanics
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论文类型:期刊论文
发表时间:2019-09-01
发表刊物:ENGINEERING FRACTURE MECHANICS
收录刊物:EI、SCIE
卷号:218
ISSN号:0013-7944
关键字:Free element method; Weighted residual technique; Mesh free method; Fracture mechanics
摘要:In this paper, a new weak-form method (Galerkin free element method - GFrEM) is developed and implemented for solving general mechanical and fracture problems. This method combines the advantages of the finite element method and meshfree method in the aspects of setting up shape functions and generating computational meshes through node by node. The distinct feature of GFrEM is that only one collocation element is needed for each collocation node and the collocation element can be freely formed by the nodes surrounding the collocation node. In order to get the weak-form system equations, the weighted residual technique, with shape function as weight function, is used in the collocation elements. Numerical experiments are carried out to determine displacements, stresses and the stress-intensity factors in two-dimensional cracked structures, to verify the present method.