|
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
Cross-line elements for free element method in thermal and mechanical analyses of functionally gradient materials
点击次数：
论文类型：期刊论文
发表时间：2019-11-01
发表刊物：ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
收录刊物：EI、SCIE
卷号：108
页面范围：422-437
ISSN号：0955-7997
关键字：Cross-line element; Free element method (FREM); Element differential method; Finite element method; Mesh free method
摘要：In this paper, a new type of finite elements, called as Cross-Line Elements (CLEs), are constructed, which have fewest nodes to interpolate physical variables in both two-dimensional (2D) and three-dimensional (3D) problems. These CLEs are then used in a new mesh free method, the Free Element Method (FREM), for solving general 2D and 3D boundary value problems of partial differential equations. FREM is a strong-form element collocation method, combining the advantages of the finite element method and mesh free method in the aspects of setting up shape functions and generating computational meshes through node by node. The distinct feature of FREM is that only one independent element is needed for each collocation node and the element can be freely formed by the nodes surrounding the collocation node. A few numerical examples for 2D and 3D heat conduction and solid mechanics problems will be given to validate the correctness and demonstrate the potential of the constructed elements and proposed numerical method.