Mathematical Strategies for Design Optimization of Multiphase Materials

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dc.contributor.authorCatania, Ricken
dc.contributor.authorDiraz, Abdallaen
dc.contributor.authorMaier, Dominicen
dc.contributor.authorTagle, Armanien
dc.contributor.authorAcar, Pinaren
dc.contributor.departmentMechanical Engineeringen
dc.date.accessioned2019-05-08T11:46:30Zen
dc.date.available2019-05-08T11:46:30Zen
dc.date.issued2019-03-12en
dc.date.updated2019-05-08T10:36:15Zen
dc.description.abstractThis work addresses various mathematical solution strategies adapted for design optimization of multiphase materials. The goal is to improve the structural performance by optimizing the distribution of multiple phases that constitute the material. Examples include the optimization of multiphase materials and composites with spatially varying fiber paths using a finite element analysis scheme. In the first application, the phase distribution of a two-phase material is optimized to improve the structural performance. A radial basis function (RBF) based machine learning algorithm is utilized to perform a computationally efficient design optimization and it is found to provide equivalent results with the physical model. The second application concentrates on the optimization of spatially varying fiber paths of a composite material. The fiber paths are described by the Non-Uniform Rational Bezier (B)-Spline Surface (NURBS) using a bidirectional control point representation including 25 parameters. The optimum fiber path is obtained for various loading configurations by optimizing the NURBS parameters that control the overall distribution of fibers. Next, a direct sensitivity analysis is conducted to choose the critical set of parameters from the design point to improve the computational time efficiency. The optimized fiber path obtained with the reduced number of NURBS parameters is found to provide similar structural properties compared to the optimized fiber path that is modeled with a full NURBS representation with 25 parameters.en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationRick Catania, Abdalla Diraz, Dominic Maier, Armani Tagle, and Pınar Acar, “Mathematical Strategies for Design Optimization of Multiphase Materials,” Mathematical Problems in Engineering, vol. 2019, Article ID 4024637, 10 pages, 2019. doi:10.1155/2019/4024637en
dc.identifier.doihttps://doi.org/10.1155/2019/4024637en
dc.identifier.urihttp://hdl.handle.net/10919/89369en
dc.language.isoenen
dc.publisherHindawi Publishing Corpen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.holderCopyright © 2019 Rick Catania et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.en
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.titleMathematical Strategies for Design Optimization of Multiphase Materialsen
dc.title.serialMathematical Problems in Engineeringen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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