Multi-material topology optimization of structures with discontinuities using peridynamics

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Habibian, Anahita and Sohouli, Abdolrasoul and Kefal, Adnan and Nadler, Ben and Yıldız, Mehmet and Suleman, Afzal (2021) Multi-material topology optimization of structures with discontinuities using peridynamics. Composite Structures, 258 . ISSN 0263-8223 (Print) 1879-1085 (Online)

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This study proposes an approach for solving density-based multi-material topology optimization of cracked structures using Peridynamics. The alternating active-phase algorithm is utilized to transform the multi-material problem into a series of binary phase topology optimization sub-problems. Instead of the conventional mesh-based methods, the Peridynamics theory (PD) is used as a tool to model the behaviour of the materials and solve for the displacement field. The most significant advantage of PD is its ability to model discontinuities in a relatively straightforward manner. Thus, in the present work, the effect of cracks as a discontinuity is investigated on the optimal multi-material topologies. The Solid Isotropic Material with Penalty (SIMP) method is utilized to define the material properties as a function of the design variables. Also, the optimization problem is solved through the Optimality Criteria (OC) approach. The proposed method is compared to the results reported in the literature by executing three numerical examples that investigate the effect of the direction of an interior crack on the optimal topologies. Moreover, the efficiency of the proposed approach is verified by solving several examples where we aim at minimizing the compliance of the structure with and without initial cracks
Item Type: Article
Uncontrolled Keywords: topology optimization, peridynamics, cracked structures, alternating active-phase algorithm, multi-material
Subjects: T Technology > TA Engineering (General). Civil engineering (General) > TA401-492 Materials of engineering and construction. Mechanics of materials
Divisions: Integrated Manufacturing Technologies Research and Application Center
Faculty of Engineering and Natural Sciences > Academic programs > Materials Science & Eng.
Faculty of Engineering and Natural Sciences > Academic programs > Manufacturing Systems Eng.
Faculty of Engineering and Natural Sciences
Depositing User: Adnan Kefal
Date Deposited: 01 Sep 2021 03:05
Last Modified: 16 Aug 2022 20:48

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