contact force algorithm in explicit transient analysis using finite-element method推荐.pdf

Finite Elements in Analysis and Design 43 (2007) 580–587 /locate/finel Contact force algorithm in explicit transient analysis using finite-element method a ,∗ a b b Fu-Jun Wang , Li-Ping Wang , Jian-Gang Cheng , Zhen-Han Yao a College of Water Conservancy and Civil Engineering, China Agricultural University, Beijing 100083, China bDepartment of Engineering Mechanics, Tsinghua University, Beijing 100084, China Received 6 May 2006; received in revised form 21 December 2006; accepted 30 December 2006 Available online 20 February 2007 Abstract The contact force calculation has significant effect on the accuracy and efficiency of finite-element analysis for contact–impact problems. In this paper, an algorithm for contact force calculation in explicit finite-element analysis is presented. The classical penalty method and Lagrange multiplier method are combined by interpreting the impenetrability between two bodies as a control parameter in this algorithm. The constraints of no-penetration condition and sticking condition are imposed accurately without the requirement to choose a proper parameter as in the penalty method. With this algorithm, no coupled system of equations needs to be solved. The interaction of contact pairs applied on same segment is treated with iteration procedure. This algorithm is totally compatible with the ex