A novel discrete computational tool for microstructure-sensitive mechanical analysis of composite materials

Chen, Hailong; Xu, Yaopengxiao; Jiao, Yang; Liu, Yongming

doi:10.1016/j.msea.2016.02.063

Cited by 24 publications

(11 citation statements)

References 46 publications

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“…The unique advantage of the LPM formulation is that material fracture can be naturally simulated by breaking the bonds between material points based on critical bond length or force. The LPM has been successfully applied to study the mechanical performance of a variety of heterogeneous material systems [64][65][66]. Interested readers are referred to Refs.…”

Section: Superior Mechanical Properties Of Hyperuniform Heterogenementioning

confidence: 99%

Microstructure and mechanical properties of hyperuniform heterogeneous materials

Chen

et al. 2017

Phys. Rev. E

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A hyperuniform random heterogeneous material is one in which the local volume fraction fluctuations in an observation window decay faster than the reciprocal window volume as the window size increases. Recent studies show that this class of materials are endowed with superior physical properties such as large isotropic photonic band gaps and optimal transport properties. Here we employ a stochastic optimization procedure to systematically generate realizations of hyperuniform heterogeneous materials with controllable short-range order, which is partially quantified using the two-point correlation function S_{2}(r) associated with the phase of interest. Specifically, our procedure generalizes the widely used Yeong-Torquato reconstruction procedure by including an additional constraint for hyperuniformity, i.e., the volume integral of the autocovariance function χ(r)=S_{2}(r)-ϕ^{2} over the whole space is zero. In addition, we only require the reconstructed S_{2} to match the target function up to a certain cutoff distance γ, in order to give the system sufficient degrees of freedom to satisfy the hyperuniform condition. By systematically increasing the γ value for a given S_{2}, one can produce a spectrum of hyperuniform heterogeneous materials with varying degrees of partial short-range order compatible with the specified S_{2}. The mechanical performance including both elastic and brittle fracture behaviors of the generated hyperuniform materials is analyzed using a volume-compensated lattice-particle method. For the purpose of comparison, the corresponding nonhyperuniform materials with the same short-range order (i.e., with S_{2} constrained up to the same γ value) are also constructed and their mechanical performance is analyzed. Here we consider two specific S_{2} including the positive exponential decay function and the correlation function associated with an equilibrium hard-sphere system. For the constructed systems associated with these two specific functions, we find that although the hyperuniform materials are softer than their nonhyperuniform counterparts, the former generally possess a significantly higher brittle fracture strength than the latter. This superior mechanical behavior is attributed to the lower degree of stress concentration in the material resulting from the hyperuniform microstructure, which is crucial to crack initiation and propagation.

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Section: Superior Mechanical Properties Of Hyperuniform Heterogenementioning

confidence: 99%

Microstructure and mechanical properties of hyperuniform heterogeneous materials

Chen

et al. 2017

Phys. Rev. E

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“…6 for particulate reinforced composite system. As can be seen, the predicted effective constants, bulk modulus and shear modulus, do not exactly fit with the Hashin-Shtrikman (H-S) bound [29] for all inclusion volume fractions, which is different from the observation from the twodimensional analysis [9]. The interface effect is more important for the three-dimensional analysis than the two-dimensional analysis in determining the effective material constants of composite systems.…”

Section: Elastic Homogenizationmentioning

confidence: 69%

“…In this section, the homogenization procedure presented in Refs. [9] and [31] for two-dimensional analysis is extended to three-dimensional cases.…”

Section: Voxel-based Computational Tool: a Reviewmentioning

confidence: 99%

“…[3], [4], [5], [6], [7], [8]. On one hand, when micrographic information is limited (e.g., only twodimensional images are available) and plane strain/stress assumptions are valid under particular loading conditions, two-dimensional microstructure-based analyses can be used and essential mechanical behaviors of such materials can be obtained from corresponding simulations [9], [10], [11]. On the other hand, since most materials possess intrinsic threedimensional heterogeneous microstructure in nature [12], such as polycrystalline materials and composite materials, a three-dimensional analysis is usually required in order to fully characterize and understand the physical properties of such materials [11].…”

Section: Introductionmentioning

confidence: 99%

“…Interface representationMany studies have been devoted to analyze the interface effect on particulate composites using different interface models[28]. As discussed in Ref [9],. interface is intrinsic in discrete models and it is represented by springs straddling across different phases.…”

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confidence: 99%

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Numerical investigation of microstructure effect on mechanical properties of bi-continuous and particulate reinforced composite materials

Chen

Meng

Chen

et al. 2016

Computational Materials Science

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In this paper, numerical simulations are proposed to investigate mechanical properties of bicontinuous and particulate reinforced composite materials using a non-local voxel-based discrete computational model. Special focus of this article is the effect of 3D microstructure and its heterogeneity on elastic deformation and fracture behaviors. First, a review on model formulation is presented. Model parameters are derived in terms of material constants using the concept of energy equivalency. Interface representation and numerical homogenization scheme are discussed. Following this, numerical investigations on the effects of interface properties and inclusion characteristics, i.e. the volume fraction and material constants, on homogenized elastic constants and fracture behaviors of statistically isotropic bi-phase composites are performed. The effective elastic constants predicted by the proposed model agree well with analytical results. Fracture simulation demonstrates good capability of the

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Formation and Evolution of Microstructure in Shape Memory Alloy Wire Reinforced Composites

Ananchaperumal

Vedantam

2021

Trans Indian Inst Met

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A novel discrete computational tool for microstructure-sensitive mechanical analysis of composite materials

Cited by 24 publications

References 46 publications

Microstructure and mechanical properties of hyperuniform heterogeneous materials

Microstructure and mechanical properties of hyperuniform heterogeneous materials

Numerical investigation of microstructure effect on mechanical properties of bi-continuous and particulate reinforced composite materials

Formation and Evolution of Microstructure in Shape Memory Alloy Wire Reinforced Composites

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