A Practical Variant of the Semismooth Newton Method for Frictionless Contact Problems

• MIYAMURA Tomoshi

  Department of Computer Science, College of Engineering, Nihon University

• KANNO Yoshihiro

  Department of Mathematical Informatics, University of Tokyo

• OHSAKI Makoto

  Department of Architecture and Architectural Engineering, Kyoto University

抄録

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.

収録刊行物

• Journal of Computational Science and Technology

  Journal of Computational Science and Technology 3 (1), 54-65, 2009

  一般社団法人 日本機械学会

キーワード

• Frictionless Contact Problem
• Finite Element Method
• Semismooth Newton Method

詳細情報

• CRID: 1390282680252589696
• NII論文ID: 130000105015
• DOI: 10.1299/jcst.3.54
• ISSN: 18816894
• Web Site: http://www.jstage.jst.go.jp/article/jcst/3/1/3_1_54/_pdf
• 本文言語コード: en
• データソース種別:
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• 抄録ライセンスフラグ: 使用不可