Optimization of 2-D structures subjected to nonlinear deformations using the homogenization method
dc.contributor.author | Yuge, K. | en_US |
dc.contributor.author | Iwai, N. | en_US |
dc.contributor.author | Kikuchi, Noboru | en_US |
dc.date.accessioned | 2006-09-11T17:21:24Z | |
dc.date.available | 2006-09-11T17:21:24Z | |
dc.date.issued | 1999-12 | en_US |
dc.identifier.citation | Yuge, K.; Iwai, N.; Kikuchi, N.; (1999). "Optimization of 2-D structures subjected to nonlinear deformations using the homogenization method." Structural Optimization 17(4): 286-299. <http://hdl.handle.net/2027.42/46082> | en_US |
dc.identifier.issn | 0934-4373 | en_US |
dc.identifier.issn | 1615-1488 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/46082 | |
dc.description.abstract | The generalized layout optimization method is applied to nonlinear problems. The algorithm was originally invented by Bendsøe and Kikuchi (1988), where an admissible design domain is assumed to be composed of periodic microstructures with tiny cavities; the sizes and the rotational angle of the cavities are defined as design variables which are optimized to minimize the applied work. The macroscoic material tensor of the porous material is calculated by the homogenization method for the sensitivity analysis. In order to apply it to nonlinear problems, we present a 2-D database of the material tensor calculated by the elasto-plastic homogenization method and an interpolation technique of the database for the practical computation. Several numerical examples of 2-D structures and a thin shell are shown to demonstrate the effectiveness of our algorithms. The algorithm is also extended to the finite deformation problems, and a practical optimized design is exhibited. | en_US |
dc.format.extent | 2041714 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag | en_US |
dc.subject.other | Civil Engineering | en_US |
dc.subject.other | Numerical and Computational Methods in Engineering | en_US |
dc.subject.other | Engineering | en_US |
dc.subject.other | Computer-Aided Engineering (CAD, CAE) and Design | en_US |
dc.subject.other | Theoretical and Applied Mechanics | en_US |
dc.title | Optimization of 2-D structures subjected to nonlinear deformations using the homogenization method | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Civil and Environmental Engineering | en_US |
dc.subject.hlbtoplevel | Engineering | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, 48109-2215, Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationother | Department of Mechanical Engineering, University of Kentucky, 40506-0108, Lexington, KY, USA | en_US |
dc.contributor.affiliationother | Department of Mechanical Engineering, Seikei University, Kichijyoji-Kita 3, Musashino-Shi, 180-8633, Tokyo, Japan | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/46082/1/158_2005_Article_BF01207005.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01207005 | en_US |
dc.identifier.source | Structural Optimization | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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