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

dc.contributor.authorAbdelhamid, Ahmed
dc.contributor.supervisorSuleman, Afzal
dc.date.accessioned2017-08-24T14:18:18Z
dc.date.available2017-08-24T14:18:18Z
dc.date.copyright2017en_US
dc.date.issued2017-08-24
dc.degree.departmentDepartment of Mechanical Engineeringen_US
dc.degree.levelMaster of Applied Science M.A.Sc.en_US
dc.description.abstractPeridynamics (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.description.scholarlevelGraduateen_US
dc.identifier.urihttp://hdl.handle.net/1828/8452
dc.languageEnglisheng
dc.language.isoenen_US
dc.rightsAvailable to the World Wide Weben_US
dc.subjectTopology optimizationen_US
dc.subjectPeridynamic theoryen_US
dc.subjectMeshless methoden_US
dc.subjectNonlocal methoden_US
dc.subjectHeuristic optimizationen_US
dc.titleA non-gradient heuristic topology optimization approach using bond-based peridynamic theoryen_US
dc.typeThesisen_US

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