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Optimization of a frame structure subjected to a plastic deformation

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Abstract

An optimization method for a frame structure subjected to a plastic deformation is proposed in this paper. The method is based on the generalized layout optimization method proposed by Bendsøe and Kikuchi in 1988, where the solid-cavity composite material is distributed in the admissible domain and the cavity size is determined so that it becomes large in the area where the strain energy is small. Elasto-plastic analysis based on the homogenization method is carried out to obtain the nonlinear average stress-strain relations of a porous material first. Then the optimization algorithm of a frame structure is derived by taking plastification into account. Finally in order to demonstrate the effectiveness of the present algorithm, several numerical examples are illustrated.

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Authors and Affiliations

  1. Faculty of Engineering, Seikei University, Kichi-joji Kitamachi 3, Musashino-shi, Tokyo, Japan

    K. Yuge

  2. Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, 48109, Ann Arbor, MI, USA

    N. Kikuchi

Authors
  1. K. Yuge
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  2. N. Kikuchi
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Yuge, K., Kikuchi, N. Optimization of a frame structure subjected to a plastic deformation. Structural Optimization 10, 197–208 (1995). https://doi.org/10.1007/BF01742592

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  • DOI: https://doi.org/10.1007/BF01742592

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