Investigating the microstructural effect on elastic and fracture behavior of polycrystals using a nonlocal lattice particle model

Chen, Hailong; Jiao, Yang; Liu, Yongming

doi:10.1016/j.msea.2015.02.046

Cited by 33 publications

(23 citation statements)

References 36 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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“…Transgranular polycrystalline fracture has also been studied using models based on different approaches such as the extended finite element method [23][24][25], which allows for general crack propagation with limited remeshing only, peridynamics [26] or non-local lattice particle method [27]. Recently, Geraci and Aliabadi [28] presented an integral formulation based on the dual boundary element method and the cohesive zone approach for inter-and transgranular cracking in 2D polycrystalline aggregates.…”

Section: Introductionmentioning

confidence: 99%

Modelling intergranular and transgranular micro-cracking in polycrystalline materials

Gulizzi

Rycroft

Benedetti

2018

Computer Methods in Applied Mechanics and Engineering

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In this work, a grain boundary formulation for intergranular and transgranular micro-cracking in three-dimensional polycrystalline aggregates is presented. The formulation is based on the displacement and stress boundary integral equations of solid mechanics and it has the advantage of expressing the polycrystalline problem in terms of grain boundary variables only. The individual grains within the polycrystalline morphology are modelled as generally anisotropic linear elastic domains with random spatial orientation. Transgranular micro-cracking is assumed to occur along specific cleavage planes, whose orientation in space within the grains depend upon the crystallographic lattice. Both intergranular and transgranular micro-cracking are modelled using suitably defined cohesive laws, whose parameters characterise the behaviour of the two mechanisms. The algorithm developed to track the inter/transgranular micro-cracking history is presented and discussed. Several numerical tests involving pseudo-3D and fully 3D morphologies are performed and analysed. The presented numerical results show that the developed formulation is capable of tracking the initiation and evolution of both intergranular and transgranular cracking as well as their competition, thus providing a useful tool for the study of damage micro-mechanics

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“…Procedure on estimating effective elastic constants in the proposed model is developed based on the system strain energy. Similar procedures can be found in [43] and [44]. A two-step estimation scheme is outlined as follows:…”

Section: Estimation Of Effective Elastic Constantsmentioning

confidence: 99%

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

Chen

Jiao

et al. 2016

Materials Science and Engineering: A

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In this article, we present a novel pixel-based nonlocal discrete computational tool for the modeling and simulation of mechanical behaviors of composite materials with isotropic phases based on their photographic microstructural information. First, formulation of the proposed model is presented and interface modeling is discussed. Following this, a procedure on quantifying materials effective elastic properties is provided. Details on a spring-based failure criterion for modeling of fracture events are discussed. After that, investigations on effects of material microstructure, interface properties and inclusion characteristics on effective elastic and fracture properties of bi-phase composites reinforced by various inclusions are performed. Based on current study, conclusions are drawn at the end.

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Investigating the microstructural effect on elastic and fracture behavior of polycrystals using a nonlocal lattice particle model

Cited by 33 publications

References 36 publications

Microstructure and mechanical properties of hyperuniform heterogeneous materials

Microstructure and mechanical properties of hyperuniform heterogeneous materials

Modelling intergranular and transgranular micro-cracking in polycrystalline materials

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

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