Today, we would like to feature a Master’s thesis from the department of Mechanical Engineering. This thesis has notably been downloaded 405 times (all over the world) since its publication in 2017.
A non-gradient heuristic topology optimization approach using bond-based peridynamic theory
by Ahmed Abdelhamid
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.
To read more, visit UVicSpace https://dspace.library.uvic.ca/handle/1828/8452
*UVic’s open access repository, UVicspace, makes worldwide knowledge mobilization possible. Through this platform, researchers at any institution have access to dissertations (and theses and graduate projects) published by our graduate students. This also makes works available to the interested layperson, who may be engaged in learning more about the research being done at UVic, with no paywall. UVic’s graduate students are doing valuable research every day – but sometimes it goes unsung. Our goal with this series is to shine a light on our students by featuring excellence, one achievement at a time.
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