Forecasting effective elastic properties of spatially reinforced composite materials applying the local approximation method

Anoshkin, A. N.; Pisarev, P. V.; Ermakov, D. A.; Roman, Kseniya V.

doi:10.1063/5.0004078

Cited by 2 publications

(3 citation statements)

References 14 publications

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“…В настоящее время разработаны различные методы, достоверно определяющие эффективные материальные характеристики композитов с периодической структурой: метод асимптотического осреднения [5][6][7][8][9][10][11][12][13][14][15][16][17][18], метод прямого осреднения задачи микромеханики на периодической ячейке с условиями симметрии и периодичности на ее гранях [19][20][21][22][23][24][25] и др. Некоторые из таких методов уже реализованы в программных инженерных пакетах типа ANSYS.…”

Section: построение Rve для композиций периодической структурыunclassified

Representative Volume and Effective Material Characteristics of Periodic and Statistically Uniformly Reinforced Fiber Composites

Pestrenin,

Pestrenina,

Landik

et al. 2023

PNRPU Mechanics Bulletin

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In the deformable solid mechanics, there are concepts associated with continuum points (displacements, relative elongations, shifts) and a set of continuum points – an elementary volume (mass, energy, stresses). The role of such volume in the mechanics of composite materials is played by the representative volume element (RVE).This concept was first introduced by R. Hill (1963). Modern authors use the W.J. Drugan, J.R. Willis (1996) formulation. Based on the analysis of the RVE concept, we formulated its essential features: RVE is the minimum possible sample for numerical tests to determine the effective material parameters of the composite; under any RVE loading, its macroscopic stress-strain state is uniform. Its significance for the mechanics of composite materials is revealed: the existence of RVE for a composite is a criterion for applying the effective modulus theory to the analysis of its stress-strain state; the dehomogenization of a stressed-state composite material at a point is a solution to the micromechanics problem of the RVE stress-strain state determination; the characteristic size of RVE limits the size of the sampling grid in the numerical study. An iterative algorithm for constructing a representative volume of a periodic structure composite and its effective material thermoelastic characteristics is proposed. It is shown that the geometric shape of such a composition is a rectangular parallelepiped. The RVE construction algorithm for periodic compositions is extended to the composites statistically uniformly reinforced with continuous fibers. A method for modeling such materials with a following regular structure is suggested described: in the section perpendicular to the fibers, fiber centers should be located at the vertices of regular triangles. Examples of constructing RVE and thermoelastic material characteristics of specific compositions are given. The calculation results are compared with the data obtained using certified software products.

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Section: построение Rve для композиций периодической структурыunclassified

Representative Volume and Effective Material Characteristics of Periodic and Statistically Uniformly Reinforced Fiber Composites

Pestrenin,

Pestrenina,

Landik

et al. 2023

PNRPU Mechanics Bulletin

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“…After the analysis of the literature survey, it can be summarized that the methods of approximation are applied to a number of technological processes in the textile and clothing industry [8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

“…In [9] mathematical and computer models are developed for predicting effective elastic properties for a complex periodic cell and a representative volume (fragment) of spatially amplified composite material (SRCM). Numerical experiments are performed to predict the effective elastic properties of a cell with SRCM periodicity with an orthogonal tissue pattern with two variants of the structure and the representative volume cell using the local approximation method.…”

Section: Introductionmentioning

confidence: 99%

Approximation of a function describing a quality criterion of the thermo-mechanical fusible interfacing process

Andonova¹,

Baeva²

2020

cdatp

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The present work aims to investigate the function describing the relationship between a quality criterion and input factors of the thermo-mechanical fusible /TMF/ interfacing process and to derive its effective approximation. An approximation by interpolation was applied for the purpose of the study. A numerical realization of a linear and exponential approximation of the mathematical model describing the TMF interfacing process was performed. An effective linear approximation of the function connecting the quality criterion with the input factors of the TMF interfacing process was found. This creates conditions for replacing the relatively complex function (describing the TMF interfacing process) with its linear approximation. The linear approximation gives the possibility easier and faster to determine the relationships between the input factors and the quality criterion. This created conditions for ignoring the subjective factor and for optimizing and automating the studied technological process.

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Forecasting effective elastic properties of spatially reinforced composite materials applying the local approximation method

Cited by 2 publications

References 14 publications

Representative Volume and Effective Material Characteristics of Periodic and Statistically Uniformly Reinforced Fiber Composites

Representative Volume and Effective Material Characteristics of Periodic and Statistically Uniformly Reinforced Fiber Composites

Approximation of a function describing a quality criterion of the thermo-mechanical fusible interfacing process

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