Adaptive finite element methods for shape optimization of linearly elastic structures
dc.contributor.author | Noboru Kikuchi, | en_US |
dc.contributor.author | Kyoon Yang Chung, | en_US |
dc.contributor.author | Toshikazu Torigaki, | en_US |
dc.contributor.author | Taylor, John E. | en_US |
dc.date.accessioned | 2006-04-07T19:27:47Z | |
dc.date.available | 2006-04-07T19:27:47Z | |
dc.date.issued | 1986-08 | en_US |
dc.identifier.citation | Noboru Kikuchi, , Kyoon Yang Chung, , Toshikazu Torigaki, , Taylor, John E. (1986/08)."Adaptive finite element methods for shape optimization of linearly elastic structures." Computer Methods in Applied Mechanics and Engineering 57(1): 67-89. <http://hdl.handle.net/2027.42/26079> | en_US |
dc.identifier.uri | http://www.sciencedirect.com/science/article/B6V29-47XF9V6-MR/2/19b18f33e0be4a57f9f5e1e439fa6a2c | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/26079 | |
dc.description.abstract | Grid adaptive methods combined with means for automatic remeshing are applied to problems in shape optimal design of linearly elastic structures. The quantitative effect of element distortion near the design boundaries is identified in terms of interpolation error associated with the finite element discretization. The grid adaptation is itself formulated as a structural optimization problem, with an objective function that reflects the discretization error. A `necessary condition' from this formulation provides the basis for a computational procedure to predict the modified grid.To avoid the sometimes drastic distortion of the FEM grid that might otherwise occur in conjunction with design change, remeshing must be performed at intermediate stages of the overall solution process. In order to produce results for the optimal shape design without interruption in this process, the computer program combines numerical grid generation and automatic remeshing with the grid adaptation and design change. Results for several shape design problems obtained with the use of grid adaptation are compared to computational results predicted from a fixed grid. Both `r-' and `h-adaptation' are tested. | en_US |
dc.format.extent | 1664630 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Elsevier | en_US |
dc.title | Adaptive finite element methods for shape optimization of linearly elastic structures | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Mechanical Engineering | en_US |
dc.subject.hlbsecondlevel | Engineering (General) | en_US |
dc.subject.hlbsecondlevel | Computer Science | en_US |
dc.subject.hlbtoplevel | Engineering | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | University of Michigan, Ann Arbor, MI 48109, U.S.A. | en_US |
dc.contributor.affiliationum | University of Michigan, Ann Arbor, MI 48109, U.S.A. | en_US |
dc.contributor.affiliationum | University of Michigan, Ann Arbor, MI 48109, U.S.A. | en_US |
dc.contributor.affiliationum | University of Michigan, Ann Arbor, MI 48109, U.S.A. | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/26079/1/0000155.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/0045-7825(86)90071-X | en_US |
dc.identifier.source | Computer Methods in Applied Mechanics and Engineering | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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