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  • 标题:A Practical Variant of the Semismooth Newton Method for Frictionless Contact Problems
  • 本地全文:下载
  • 作者:Tomoshi MIYAMURA ; Yoshihiro KANNO ; Makoto OHSAKI
  • 期刊名称:Journal of Computational Science and Technology
  • 电子版ISSN:1881-6894
  • 出版年度:2009
  • 卷号:3
  • 期号:1
  • 页码:54-65
  • DOI:10.1299/jcst.3.54
  • 出版社:The Japan Society of Mechanical Engineers
  • 摘要:In this paper, a simple solution scheme for frictionless contact problems of linear elastic bodies is proposed. The proposed method is a variant of the semismooth Newton method. The frictionless contact problem, which is discretized using the finite element method with lower-order elements and a node-to-node contact model, is considered, although the proposed method can be extended to a node-to-segment or segment-to-segment contact model. The present method can be implemented by slightly modifying a computer program for the semismooth Newton method. In the iterative loop of the proposed method, a symmetric linear structural problem with multi-point constraints is solved. Therefore, the proposed method can be applied to large-scale contact problems. Good convergence of the proposed method compared to the semismooth Newton method is demonstrated in some examples.
  • 关键词:Frictionless Contact Problem;Finite Element Method;Semismooth Newton Method
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