SOLVING IMBEDDING PROBLEMS IN THREE-DIMENSIONAL CONTACT ELEMENT WITH THE PENALTY FUNCTION METHOD

摘要：

In this paper, the classic penalty function method based on constrained variational principle is applied to solve the imbedding problems of upper and lower surfaces of three-dimensional contact (or joint) elements. The critical imbedding or impenetrability constraint condition is defined as the equivalency of the close displacement of the upper and lower surfaces to the element thickness. If this critical impenetrability constraint condition is broken, a modification should be made to the element stiffness matrix and nodal force vector. By calculating the extremum of contact elements function under the critical impenetrability constraint condition, the incremental three-dimensional contact finite elements formulations are obtained, and the modified contact stiffness matrix and contact load vector are derived and superimposed to the general stiffness matrix and load vector. An iterative algorism is processed to guarantee that the imbedding displacement is modified to a very tiny numerical value and the imbedding problems are corrected. At the end, an incremental finite element program chart is presented to show how to use this method to solve the imbedding problems of three-dimensional contact elements.

关键词： constrained variational principle finite element method contact element

作者: Chen Huang Xiao-Lei Han Chao Huang

作者单位: School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 5106 School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 5106

会议类型: 国际会议

会议名称: 2009年土木工程结构创新与可持续发展国际会议(The International Symposium on Innovation & Sustainability of Structures in Civil Engineering)

会议地点: 广州

会议语种:英文

页码: 553-557

在线出版日期: 2009-11-28（万方平台首次上网日期，不代表论文的发表时间）