Generation of the representative volume elements of composite materials with misaligned inclusions

Ogierman, Witold; Kokot, Grzegorz

doi:10.1016/j.compstruct.2018.06.086

Cited by 20 publications

(10 citation statements)

References 37 publications

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“…Then, the formulation of FE equations in 3-D space for the initial configuration (t=0) are constructed, using representative volume element method (RVE), as shown in Figure 5(a). This method has been proven to be reliable with modeling the mechanical properties of wood fiber composites [37][38][39][40]. With a given value of ϕ and densities of matrix and fibers, the physical parameters a, b, c, T and L can be determined.…”

Section: Materials Parameters and Conditionsmentioning

confidence: 99%

A Novel Space-Time Finite Element Algorithm to Investigate the Hygro-Mechanical Behaviours of Wood Fiber-Polymer Composites

Charupeng¹,

Kunthong²

2022

MMEP

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Moisture-induced swelling, or hygroexpansion, has been known to greatly deteriorate the durability of wood fiber-polymer composites (WPC). It is generally very expensive to perform experiments to completely obtain the diffusion kinetics as the process occurs in a very extended period of time. For the first time, we have developed a space-time finite element algorithm that employs time discontinuous Galerkin (TDG) method for time-dependent 3D hygro-mechanical behaviours of WPC. The formulation of matrix equations in spatial and temporal domains are explained in detail. A block Gauss-Seidel iterative method is used in the predictor/multi-corrector multi-pass algorithm, which efficiently yields unconditionally stable and high-order accurate solutions. The model is validated by comparing the predicted time-dependent hygroexpansion with that obtained in a previous experimental study. The quantitative analysis ensures the reliability of model, based on a Fickian diffusion process. With our adaptive time-stepping scheme that bases on the embedded solution from the multi-pass iterations, the model efficiently progresses the kinetics with relatively large time steps. A runtime of a few hours compared to about three months of actual laboratory experimentation confirms the novelty and robustness of our model.

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Section: Materials Parameters and Conditionsmentioning

confidence: 99%

A Novel Space-Time Finite Element Algorithm to Investigate the Hygro-Mechanical Behaviours of Wood Fiber-Polymer Composites

Charupeng¹,

Kunthong²

2022

MMEP

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“…The FE-based homogenization can be applied in modelling microstructures of complex geometry involving arbitrary shapes and orientation distributions of constituents; however, in such cases, it typically requires time-consuming computations [31]. Another group of micromechanical models is based on the Eshelby’s fundamental solution [32], here several approaches can be distinguished like for example self-consistent schemes [33], Mori–Tanaka method [34], double inclusion method [35].…”

Section: Identification Proceduresmentioning

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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“…However, such detailed description of the microstructure may lead to a prohibitive computation time, particularly in the case of multi-scale computations. Therefore, very often, the RVE is considered as a model for simplifying the geometrical features of the real microstructure to provide a reasonable computation time [ 5 , 6 ]. Various numerical methods can be used for the analysis of the RVE, like, for instance, the boundary element method (BEM) [ 7 , 8 , 9 , 10 ], or the fast Fourier transform-based method (FFT) [ 11 , 12 , 13 ].…”

Section: Introductionmentioning

confidence: 99%

Determination of Local Strain Distribution at the Level of the Constituents of Particle Reinforced Composite: An Experimental and Numerical Study

Ogierman

Kokot

2020

Materials

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This paper is devoted to numerical and experimental investigation of the strain field at the level of the constituents of two-phase particle reinforced composite. The research aims to compare the strain distributions obtained experimentally with the results obtained by using a computational model based on the concept of the representative volume element. A digital image correlation method has been used for experimental determination of full-field strain. The numerical investigation was conducted by the finite element analysis of the representative volume element. Moreover, usage of the novel method of assessment of the speckle pattern applicability for the measurement of local fields by using the digital image correlation method has been proposed. In general, the obtained experimental and numerical results are in good agreement although some discrepancies between the results have been noticed and discussed.

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Generation of the representative volume elements of composite materials with misaligned inclusions

Cited by 20 publications

References 37 publications

A Novel Space-Time Finite Element Algorithm to Investigate the Hygro-Mechanical Behaviours of Wood Fiber-Polymer Composites

A Novel Space-Time Finite Element Algorithm to Investigate the Hygro-Mechanical Behaviours of Wood Fiber-Polymer Composites

Inverse Identification of Elastic Properties of Constituents of Discontinuously Reinforced Composites

Determination of Local Strain Distribution at the Level of the Constituents of Particle Reinforced Composite: An Experimental and Numerical Study

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