Finite element analysis for multi-leaf structures with frictional contact and large deformation

• Autorzy: Chen X. , Nakamura K. , Mori M. , Hisaida T.
• Języki publikacji: EN

Abstrakty

EN

The analysis of multi-leaf structures should be performed taking friction into account. The objectivity of friction law should be preserved because large deformation generally occurs. By use of the convected coordinate system, the objectivity can be preserved naturally. Therefore, in finite element analysis, the element local coordinate system can be used. However, when a contact point slides over the element boundary, a problem arises due to the discontinuity of the local coordinates between elements. In this work, an algorithm is proposed, i.e., the formulation is essentially based on the convected coordinate system while the sliding term is redefined as a spatial vector and is calculated in the reference configuration. Thus, the finite sliding due to large deformation can be treated without paying special attention to the limit of the local coordinate system. Two numerical examples including a simplified model of a leaf spring structure used in nuclear power plants are given.

Słowa kluczowe

EN

finite element method; frictional contact; strain

PL

metoda elementów skończonych; sprzężenie cierne; odkształcenie

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2000
• Tom: Vol. 7, No. 1
• Strony: 53--67
• Opis fizyczny: Bibliogr. 11 poz., rys., wykr.

Twórcy

autor

Chen X.

• Takasago R&D Center, Mitsubishi Heavy Industries, Ltd. 2-1-1, Shinhama Arai-Cho, Takasago, Hyogo Pref. 676-8686, Japan

autor

Nakamura K.

• Takasago R&D Center, Mitsubishi Heavy Industries, Ltd. 2-1-1, Shinhama Arai-Cho, Takasago, Hyogo Pref. 676-8686, Japan

autor

Mori M.

• Takasago R&D Center, Mitsubishi Heavy Industries, Ltd. 2-1-1, Shinhama Arai-Cho, Takasago, Hyogo Pref. 676-8686, Japan

autor

Hisaida T.

• The University of Tokyo, Japan

Bibliografia

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• [3] T. Hisada. Foundation of Tensor Analysis for Nonlinear Finite Element Method (in Japanese). Maruzen, Tokyo, 1992.
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• [5] T.A. Laursen, J.C. Simo. A continuum-based finite element formulation for the implicit solution of multibody, large deformation frictional contact problems. Int. J. Num. Meth. Engng., 36: 3451-3485, 1993.
• [6] H. Parisch, Ch. Lubbing. A formulation of arbitrarily shaped surface elements for three-dimensional large deformation contact with friction. Int. J. Num. Meth. Engng., 40: 3359-3383, 1997.
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• [8] J.C. Simo, T.A. Laursen. An augmented Lagrangian treatment of contact problems involving friction. Computers E4 Structures, 42: 97-116, 1992.
• [9] J.C. Simo, P. Wriggers, R.L. Taylor. A perturbed Lagrangian formulation for the finite element solution of contact problems. Comp. Meths. Appl. Mech. Engng., 50: 163-180, 1985.
• [10] Z.-H. Zhong. Finite Element Procedures for Contact-Impact Problems. Oxford University Press, New York, 1993.
• [11] Z.-H. Zhong, J. Mackerle. Static contact problems — a review. Engineering Computations, 9: 3-37, 1992.