Three-dimensional visualization and microstructure-based modeling of deformation in particle-reinforced composites

Chawla, Nikhilesh; Sidhu, R. S.; Ganesh, V. V.

doi:10.1016/j.actamat.2005.11.027

Cited by 252 publications

(125 citation statements)

References 17 publications

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“…Based on their observations, small and large particles yield hardening and softening behavior, respectively. Chawla et al [321] studied the influence of different particle shapes (spherical, ellipsoidal, and angular) on the elastic-plastic behavior of particle-reinforced composites. They reported that the shape of the particles may have a considerable impact on the behavior of the composite even for very small strains.…”

Section: 22mentioning

confidence: 99%

Aspects of Computational Homogenization at Finite Deformations: A Unifying Review From Reuss' to Voigt's Bound

Saeb

Steinmann

Javili

2016

Applied Mechanics Reviews

184

138

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The objective of this contribution is to present a unifying review on strain-driven computational homogenization at finite strains, thereby elaborating on computational aspects of the finite element method. The underlying assumption of computational homogenization is separation of length scales, and hence, computing the material response at the macroscopic scale from averaging the microscopic behavior. In doing so, the energetic equivalence between the two scales, the Hill-Mandel condition, is guaranteed via imposing proper boundary conditions such as linear displacement, periodic displacement and antiperiodic traction, and constant traction boundary conditions. Focus is given on the finite element implementation of these boundary conditions and their influence on the overall response of the material. Computational frameworks for all canonical boundary conditions are briefly formulated in order to demonstrate similarities and differences among the various boundary conditions. Furthermore, we detail on the computational aspects of the classical Reuss' and Voigt's bounds and their extensions to finite strains. A concise and clear formulation for computing the macroscopic tangent necessary for FE 2 calculations is presented. The performances of the proposed schemes are illustrated via a series of two-and three-dimensional numerical examples. The numerical examples provide enough details to serve as benchmarks.

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Section: 22mentioning

confidence: 99%

Aspects of Computational Homogenization at Finite Deformations: A Unifying Review From Reuss' to Voigt's Bound

Saeb

Steinmann

Javili

2016

Applied Mechanics Reviews

184

138

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“…To the authors' best of knowledge, the question of the proper RVE size is still open to discuss and the answer can depend on the overall property of interest and on the type of considered microstructure. 10,19,20) Therefore, a reasonable compromise between the accuracy and required CPU time is necessary. Figure 5(a) shows the evolution of the ensemble averages, E 11 , E 22 and E 33 , of the RVE models, which were predicted by the FEM.…”

Section: Influence Of the Size Of The Rve On The Effective Materials Pmentioning

confidence: 99%

Analysis of 3D Random Al18B4O33 Whisker Reinforced Mg Composite Using FEM and Random Sequential Adsorption

et al. 2010

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In order to understand the deformation behavior of randomly orientated ceramic whisker reinforced composite materials, three dimensional (3D) finite element models were developed. The actual distributions of the whiskers in the composite materials were reconstructed for the representative volume element of the composite, using a random sequential adsorption algorithm. The samples were random Al 18 B 4 O 33 whisker reinforced magnesium matrix composites with a volume fraction of 15%. After modeling, the role of the random ceramic whisker in the deformation behavior of the magnesium matrix composite was investigated by the finite element method (FEM). The elastic modulus and stressstrain behaviors of the composite predicted by the microstructure-based model correlated well with the experimental results.

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“…Chawala et al [178] used 3D object-oriented finite element modeling to evaluate the mechanical behavior of SiC particle-reinforced Al composites. For a volume of results of the Young's modulus and the stress-strain relations from the object-oriented (microstructure-based) model with the results of the experiment and the numerical results from simplified models (which include rectangular prism, multiparticle-ellipsoids, and multiparticlespheres, etc.).…”

Section: Object-oriented Modelingmentioning

confidence: 99%

“…Thus the mesh reproduces exactly the original microstructure, namely the inclusions size, morphology, spatial distribution, and the respective volume fraction of the different constituents. A objectoriented finite element code, OOF [205,206], developed by National Institute of Standards and Technology (NIST), has been extensively used in analyzing fracture mechanisms and material properties of heterogeneous materials [207][208][209][210][211][212][213][214][215][216] and mechanical properties of nanocomposites Vol.9,No.4 Characterizing and Modeling Mechanical Properties of Nanocomposites 295 [8,178,179,217]. In the following, a 2D object-oriented finite element modeling will be discussed, followed by a 3D modeling.…”

Section: Object-oriented Modelingmentioning

confidence: 99%

Characterizing and Modeling Mechanical Properties of Nanocomposites-Review and Evaluation

Hu¹,

Onyebueke²,

Abatan³

2010

JMMCE

120

112

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Three-dimensional visualization and microstructure-based modeling of deformation in particle-reinforced composites

Cited by 252 publications

References 17 publications

Aspects of Computational Homogenization at Finite Deformations: A Unifying Review From Reuss' to Voigt's Bound

Aspects of Computational Homogenization at Finite Deformations: A Unifying Review From Reuss' to Voigt's Bound

Analysis of 3D Random Al<SUB>18</SUB>B<SUB>4</SUB>O<SUB>33</SUB> Whisker Reinforced Mg Composite Using FEM and Random Sequential Adsorption

Characterizing and Modeling Mechanical Properties of Nanocomposites-Review and Evaluation

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