Multiscale modeling of deformation and damage of elasticplastic particle reinforced composites

Yurin²,

Bogdanov³

et al. 2023

E3S Web of Conf.

A method for multiscale supercomputer calculations of the composite structures strength has been developed. A feature of the proposed methodology is of division of the solution algorithm into 2 parts: solving problems at the micro level (in turn, these problems can consist of several sub-levels of calculation) and solving the problem at the macro level. Such a division, in which the solution of some problems is the input to problems at a higher level, helps to significantly reduce the consumption of computing resources. When solving problems, curvilinear anisotropy is taken into account at the macro level (structures), as well as at the micro level (composite material). The 3D finite element method was used for the numerical solution. To take into account curvilinear anisotropy, a special assembly algorithm is used, which requires the construction of anisotropy blocks (cells). A method is proposed for taking into account integral boundary conditions when solving problems of the linear theory of elasticity. A finite element modeling of the stress-strain state and damageability of a cylindrical structure with power ring elements has been carried out. As an example, textile composite materials (CM) with carbon and glass fibers are considered.

Section: Simulation Of the Stress-strain State In Composite Structuresmentioning

confidence: 99%

“…To calculate the properties of tissue CM, the method of asymptotic averaging was used, the description of which is given in [10][11][12], as well as the software [16,17], which is an integral part of the SMCM complex.…”

Section: Elastic Constants Valuesmentioning

confidence: 99%

Supercomputer multiscale modeling of composite structures strength

Yurin²,

Bogdanov³

et al. 2023

E3S Web of Conf.

“…Here / l L is a small parameter, L is the global scale of the length L of the area V of the entire composite, l is the local scale of the length. Let us consider the problem of linear elasticity theory [7,8] in the domain V with a boundary . he solution of this problem of linear elasticity theory for the composite materials according to the method of asymptotic averaging [5,9,10], is sought in the form…”

Section: Asymptotic Solutions Of the Problem Of Elasticity Theory Tak...mentioning

confidence: 99%

Modeling the edge effect in composites based on asymptotic homogenization method

Yurin²,

Chebakov³

2023

E3S Web of Conf.

The purpose of this work is to develop a numerical algorithm for solving the problem of calculating the stress-strain state of structures made of composite materials, taking into account edge effects. The solution of the problem is carried out by modifying the asymptotic averaging method by taking into account an additional solution of the boundary layer type, which quickly fades away from the boundary. This solution makes a significant contribution to the neighborhood of the composite surface itself. A numerical example of calculating an element of a composite structure with holes is given, which showed the feasibility of the proposed method. The calculations are compared with a three-dimensional finite element solution in the ANSYS software package.

Finite element modeling of elastic moduli and microstresses in textile carbon-carbon composites

Yurin

Sborschikov

et al. 2021

J. Phys.: Conf. Ser.

Abstracts The problem of detailed calculation of micro-stresses in textile composite materials under arbitrary types of loading is considered. A model for calculating the effective characteristics of textile composites considering the real complex curvilinear anisotropy of fibers in tissues is proposed. The model is based on the asymptotic homogenization method, whereby local problems of elasticity theory for a curvilinear anisotropic body are formulated. For the numerical solution of these problems, the finite element method is used. The implementation of the proposed method was carried out within the framework of the SMCM software package, developed at the Department of Computational Mathematics and Mathematical Physics of the Bauman Moscow State Technical University. The SMCM software package allows you to perform a full cycle of finite element modeling, including the stages of pre-processing and post-processing. An example of numerical modeling of a textile carbon-carbon composite of twill weaving is carried out. It is shown that the developed software package provides (a very high accuracy of calculations of the effective elastic properties of composites. The comparison was carried out with the calculations obtained using the ANSYS software, which was modified to provide the possibility of solving local problems, the relative deviation in the calculations of the effective elastic constants did not exceed (-7) degrees.