Mathematical Strategies for Design Optimization of Multiphase Materials
Joint Authors
Catania, Rick
Diraz, Abdalla
Maier, Dominic
Tagle, Armani
Acar, Pınar
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-12
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This 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.
American Psychological Association (APA)
Catania, Rick& Diraz, Abdalla& Maier, Dominic& Tagle, Armani& Acar, Pınar. 2019. Mathematical Strategies for Design Optimization of Multiphase Materials. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1195389
Modern Language Association (MLA)
Catania, Rick…[et al.]. Mathematical Strategies for Design Optimization of Multiphase Materials. Mathematical Problems in Engineering No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1195389
American Medical Association (AMA)
Catania, Rick& Diraz, Abdalla& Maier, Dominic& Tagle, Armani& Acar, Pınar. Mathematical Strategies for Design Optimization of Multiphase Materials. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1195389
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195389