Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
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Topology optimization algorithm in composite structures based on analyzing the principal stresses

Published: 07.12.2023

Authors: Kosykh P.A., Azarov A.V.

Published in issue: #12(144)/2023

DOI: 10.18698/2308-6033-2023-12-2320

Category: Mechanics | Chapter: Mechanics of Deformable Solid Body

Designing products made from composite materials assumes that any designer needs to consider not only the product shape, but also the fiber laying direction in each structural element. Topology optimization problem in the orthotropic formulation was formulated to solve this problem. The problem statement is presented, and its solution is proposed that includes the structure topology optimization and subsequent alignment of the structure reinforcement angles in accordance with direction of the highest principal stresses direction. The paper describes main features of solving the problem, demonstrates results of solving the problem obtained using the proposed method, and assesses the method effectiveness. In addition, it provides alternative approaches to solving the problem under consideration including optimization in the isotropic formulation, optimization with the Heaviside filter and optimization of the two-layer plate. Results of solving the problem are also presented for the alternative approaches. It was established that optimization method in the isotropic formulation had the best convergence, and the objective function lowest value was achieved when using the two-layer plate optimization method.

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