title: Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° ÑÐ¾Ð¿Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¾Ð¹ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð´Ð»Ñ Ð·Ð°Ð´Ð°Ñ ÑÐµÐ¾ÑÐ¸Ð¸ ÑÐ¿ÑÑÐ³Ð¾ÑÑÐ¸ Ñ Ð°Ð½Ð¸Ð·Ð¾ÑÑÐ¾Ð¿Ð½ÑÐ¼Ð¸ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð°Ð¼Ð¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Development of a topological optimization algorithm for problems of the theory of elasticity with anisotropic materials
Creators: name: ÐÐ°ÑÑÐ»Ð¸Ð½, ÐÐ¸ÑÐ°Ð¸Ð»
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: ÑÐ¾Ð¿Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ°Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ
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topological optimization
optimization methods
optimization of anisotropy axes
anisotropic material
finite element method
method of moving asymptotes

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description: This work is devoted to the study of methods for topological optimization of anisotropic materials with simultaneous optimization of the anisotropy axes. For optimization, it is proposed to use three methods: alignment of the material fibers along the main stress axes, alignment of the material fibers along the main strain axes, and the introduction of an additional design variable of the anisotropy angle. The principle of operation of the implemented solver of the finite element problem of elasticity theory is considered. The principle of operation of algorithms for topology optimization and optimization of anisotropy axes is shown. The implementation of algorithms for simultaneous optimization is shown. The presented methods were tested and compared. According to the results of the analysis of the simultaneous optimization of the topology and anisotropy axes, the most effective optimization algorithm was identified.