崔苗
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教授

博士生导师

硕士生导师

性别:女

毕业院校:东北大学

学位:博士

所在单位:力学与航空航天学院

学科:航空宇航推进理论与工程. 热能工程. 计算力学

办公地点:综合实验1号楼(海宇楼)203A

联系方式:miaocui@dlut.edu.cn

电子邮箱:miaocui@dlut.edu.cn

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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.