Hybrid Mori-Tanaka/Finite Element Method in Homogenization of Composite Materials With Various Reinforcement Shape and Orientation

Ogierman, Witold

doi:10.1615/intjmultcompeng.2019028827

Cited by 7 publications

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“…The geometrical model and corresponding finite element mesh of equivalent inclusion problem for cylindrical fiber have been presented in Figure 4. Single inclusion has a volume fraction 0.001 (an influence of the volume fraction on homogenization accuracy is discussed in work [45]). The following elastic constants of the composite constituents have been taken into account: E m = 10 4 MPa, ν m = 0.3, E i = 105 MPa, ν i = 0.2.…”

Section: Resultsmentioning

confidence: 99%

Inverse Identification of Elastic Properties of Constituents of Discontinuously Reinforced Composites

Ogierman

2018

Materials

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This paper is devoted to determination of elastic properties of composite constituents by using an inverse identification procedure. The aim of the developed identification procedure is to compute the elastic constants of individual material phases on the basis of known properties of composite materials. The inverse problem of identification has been solved by combining an evolutionary algorithm with a micromechanical model. The paper also focuses on selection of a suitable micromechanical model for optimization which should ensure a compromise between accuracy and complexity. Two different cases have been studied: composite reinforced with short cylindrical fibers and composite reinforced with cubic particles. Moreover, Monte Carlo simulations have been carried out to expose a difference in outcome of identification which may occur when uncertain input data is considered. Obtained results show that identification is successful only when properties of composite materials with at least two different volume fractions of the reinforcement are known.

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Section: Resultsmentioning

confidence: 99%

Inverse Identification of Elastic Properties of Constituents of Discontinuously Reinforced Composites

Ogierman

2018

Materials

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“…In general, during the multi-scale computations, full loading is typically divided into load increments. Therefore, the hybrid homogenization procedure has received an incremental-iterative form (Ogierman, 2019). During this study, the novel method developed assumes that the homogenization procedure is divided into two stages.…”

Section: Homogenization Proceduresmentioning

confidence: 99%

“…They analyzed composites reinforced with spherical and unidirectionally oriented ellipsoidal particles. The author of this paper, in the earlier work (Ogierman, 2019), applied the hybrid homogenization for estimation of linear-elastic and elastic-plastic responses of composites reinforced with spherical and cubic particles. The paper (Ogierman, 2019) presents the extension of the homogenization procedure proposed by Brassart et al (2010) for materials with distributed orientations of inclusions by introducing the so-called extended equivalent inclusion problem.…”

Section: Introductionmentioning

confidence: 99%

“…The author of this paper, in the earlier work (Ogierman, 2019), applied the hybrid homogenization for estimation of linear-elastic and elastic-plastic responses of composites reinforced with spherical and cubic particles. The paper (Ogierman, 2019) presents the extension of the homogenization procedure proposed by Brassart et al (2010) for materials with distributed orientations of inclusions by introducing the so-called extended equivalent inclusion problem. The aim of the extended equivalent problem is to analyze the model containing several inclusions, which together approximate the prescribed orientation distribution rather than the single inclusion.…”

Section: Introductionmentioning

confidence: 99%

“…In particular, the discrete orientation averaging procedure involving the optimal pseudo-grain discretization technique (Ogierman and Kokot, 2017) was applied to reduce a number of the discrete orientations, which is required to represent the given orientation state. Unlike the extended equivalent inclusion problem (Ogierman, 2019), the proposed approach is based on several simple equivalent inclusion problems consisting of the single inclusion. It is worth mentioning that, in this case, the equivalent inclusion problems can be solved in parallel.…”

Section: Introductionmentioning

confidence: 99%

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A two-stage homogenization for modelling of elastic-plastic functionally graded composites

Ogierman

2020

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Purpose The purpose of this study is to develop a homogenization approach that ensures both high accuracy and time-efficient solution for elastic-plastic functionally graded composites. Design/methodology/approach The paper presents a novel two-stage hybrid homogenization approach that combines advantages of the mean field homogenization and homogenization based on the finite element method (FEM). The groundbreaking nature of the developed approach is associated with division of the hybrid homogenization procedure into two stages, which allows to very efficiently determine the solution for arbitrary volume fraction of the reinforcement. This paper concerns also on modelling of composites with randomly distributed prolate and oblate particles. For this purpose, the hybrid homogenization was implemented in the framework of the discrete orientation averaging procedure involving pseudo-grain discretization method. Findings Agreement between the results obtained using the proposed approach and the standard FEM-based homogenization is very good (up to the volume fraction of 0.3). Originality/value The proposed two-stage homogenization approach allows to obtain the solution for materials with arbitrary volume fraction of the reinforcement very efficiently; therefore, it is highly beneficial for the two-scale modeling of nonlinear functionally graded materials and structures.

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A data-driven model based on the numerical solution of the equivalent inclusion problem for the analysis of nonlinear short-fibre composites

Ogierman

2024

Composites Science and Technology

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Hybrid Mori-Tanaka/Finite Element Method in Homogenization of Composite Materials With Various Reinforcement Shape and Orientation

Cited by 7 publications

References 0 publications

Inverse Identification of Elastic Properties of Constituents of Discontinuously Reinforced Composites

Inverse Identification of Elastic Properties of Constituents of Discontinuously Reinforced Composites

A two-stage homogenization for modelling of elastic-plastic functionally graded composites

A data-driven model based on the numerical solution of the equivalent inclusion problem for the analysis of nonlinear short-fibre composites

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