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A non-gradient heuristic topology optimization approach using bond-based peridynamic theory

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dc.contributor.author Abdelhamid, Ahmed
dc.date.accessioned 2017-08-24T14:18:18Z
dc.date.available 2017-08-24T14:18:18Z
dc.date.copyright 2017 en_US
dc.date.issued 2017-08-24
dc.identifier.uri https://dspace.library.uvic.ca//handle/1828/8452
dc.description.abstract Peridynamics (PD), a reformulation of the Classical Continuum Mechanics (CCM), is a new and promising meshless and nonlocal computational method in solid mechanics. To permit discontinuities, the PD integro-differential equation contains spatial integrals and time derivatives. PD can be considered as the continuum version of molecular dynamics. This feature of PD makes it a good candidate for multi-scale analysis of materials. Concurrently, the topology optimization has also been rapidly growing in view of the need to design lightweight and high performance structures. Therefore, this thesis presents the potential for a peridynamics-based topology optimization approach. To avoid the gradient calculations, a heuristic topology optimization method is employed. The minimization of the PD strain energy density is set as the objective function. The structure is optimized based on a modified solid isotropic material with a penalization approach and a projection scheme is utilized to obtain distinct results. Several test cases have been studied to analyze the suitability of the proposed method in topology optimization. en_US
dc.language English eng
dc.language.iso en en_US
dc.rights Available to the World Wide Web en_US
dc.subject Topology optimization en_US
dc.subject Peridynamic theory en_US
dc.subject Meshless method en_US
dc.subject Nonlocal method en_US
dc.subject Heuristic optimization en_US
dc.title A non-gradient heuristic topology optimization approach using bond-based peridynamic theory en_US
dc.type Thesis en_US
dc.contributor.supervisor Suleman, Afzal
dc.degree.department Department of Mechanical Engineering en_US
dc.degree.level Master of Applied Science M.A.Sc. en_US
dc.description.scholarlevel Graduate en_US


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