title: ÐÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð¼ÐµÑÐ¾Ð´Ð° Ð³Ð¾Ð¼Ð¾Ð³ÐµÐ½Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð´Ð»Ñ Ð¾Ð¿Ð¸ÑÐ°Ð½Ð¸Ñ ÐºÐ¾Ð¼Ð¿Ð¾Ð·Ð¸ÑÐ¸Ð¾Ð½Ð½ÑÑ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð¾Ð² Ñ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½ÑÐ¼ Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸ÐµÐ¼
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Application of the Homogenization Method for Describing Composite Materials with Nonlinear Behavior
Creators: name: ÐÑÐ¾Ð½, ÐÐ¼Ð¸ÑÑÐ¸Ð¹
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: 2024
Subjects: Ð³Ð¾Ð¼Ð¾Ð³ÐµÐ½Ð¸Ð·Ð°ÑÐ¸Ñ
ÑÑÑÐµÐºÑÐ¸Ð²Ð½ÑÐµ Ñ Ð°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸
Ð¼ÐµÑÐ¾Ð´ Ð¿ÑÑÐ¼Ð¾Ð¹ Ð³Ð¾Ð¼Ð¾Ð³ÐµÐ½Ð¸Ð·Ð°ÑÐ¸Ð¸
Ð¼ÐµÑÐ¾Ð´ ÐºÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð²
Ð°ÑÐ¸Ð¼Ð¿ÑÐ¾ÑÐ¸ÑÐµÑÐºÐ¸Ðµ ÑÐ°Ð·Ð»Ð¾Ð¶ÐµÐ½Ð¸Ñ
homogenization
effective characteristics
direct homogenization method
finite element method
asymptotic expansions

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description: This work is dedicated to the detailed investigation of composite materials with a metallic structure in the domain of plastic deformations. The main object of study is a unidirectional fiber-reinforced elastoplastic composite material. During the course of the work, asymptotic expansions in the general form for composite materials with elastoplastic properties were developed. The obtained expansions allowed for the development of more accurate models to describe the behavior of composites under plastic deformations. Rheological models of two-phase elastoplastic composite materials were also investigated. Within this study, analytical expressions were derived to determine 24 effective elastoplastic characteristics of the composite material in the case of central symmetry. Additionally, based on the finite element method, the effective characteristics of an elastoplastic material with linear hardening were determined. These characteristics are expressed in terms of elastic moduli, Poissons ratios, tangential and secant moduli of the deformation diagram, as well as yield limits in all directions of the considered orthotropic material. The obtained results allow for a deeper understanding of the mechanical behavior of composites and enhance their application in various engineering fields where high strength characteristics and deformation resistance are important.