Numerical Simulation of Failure of Rock-Like Material Subjected to Compressive Loads Using Improved Peridynamic Method

Zhou, Xiaoping; Shou, Yundong

doi:10.1061/(asce)gm.1943-5622.0000778

Cited by 77 publications

(20 citation statements)

References 27 publications

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“…The method is distinguished by its capability in handling discontinuities such as fractures and cracks. It has recently been extended to modelling a variety of materials with brittle fracture behaviours, including concrete (Huang et al, 2015), rock (Rabczuk & Ren, 2017;Zhou & Shou, 2017), ceramic (Lai et al, 2018), glass (Kilic & Madenci, 2009) and ice (Liu et al, 2017). A comprehensive review of the peridynamic method with benchmark models can be found in Madenci & Oterkus (2014).…”

Section: Introductionmentioning

confidence: 99%

A peridynamic investigation on crushing of sand particles

Zhu

Zhao

2019

Géotechnique

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Particle crushing underpins important macroscopic behaviour of granular materials such as yielding, deformation, dilatancy, failure, mobility and packing features. The crushing condition and crushing pattern have commonly been examined for particles subjected to uniaxial loadings. In the real engineering context, a sand grain is typically in contact with several surrounding particles and is hence subjected to multi-directional loadings, a critical condition that has not been well accounted for in most crushing criteria and studies of crushing patterns relevant to discrete-based sand modelling. In this study, the crushing of single sand particles under different loading conditions is examined based on peridynamic simulations. The peridynamic method is found capable of realistically capturing the crushing of a sand particle under uniaxial loadings in terms of crushing load and the crushing pattern observed in experiments, and is able to simulate multi-contact particle crushing where experimental data are relatively scarce. By examining existing crushing criteria, it is found that the numerical results on the crushing load under multiple contacts compare favourably with the maximum contact force criterion, which states that particle crushing occurs when the maximum contact force reaches a threshold. It is observed that the number of child particles after the crushing of a sand particle bears no apparent correlation with the coordination number. The volumes of child particles can be statistically described by a normal or gamma distribution. The findings from the study offer insights into the behaviour of sand particle crushing, which can be useful for future discrete modelling of granular sand where crushing is important.

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Section: Introductionmentioning

confidence: 99%

A peridynamic investigation on crushing of sand particles

Zhu

Zhao

2019

Géotechnique

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“…Recently, Madenci et al [184] predicted crack propagation in isotropic materials under complex loading conditions. Dynamic fracture has also been studied with PD for various types of structures such as polymers [185], fiber networks [186], concrete structures [187], anisotropic materials [188][189][190], functionally graded materials [191], polycrystalline materials [192] as well as geomaterials [62,[193][194][195][196]. It is worth mentioning that Evangelatos and Spanos [197] presented the application of PD to stochastic fracture modeling, with a novel spatial discretization of the PD equation.…”

Section: Materials Failurementioning

confidence: 99%

Peridynamics review

Javili

Morasata

Öterkuş

et al. 2018

Mathematics and Mechanics of Solids

248

109

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Peridynamics (PD) is a novel continuum mechanics theory established by Stewart Silling in 2000. The roots of PD can be traced back to the early works of Gabrio Piola according to dell’Isola et al. PD has been attractive to researchers as it is a non-local formulation in an integral form, unlike the local differential form of classical continuum mechanics. Although the method is still in its infancy, the literature on PD is fairly rich and extensive. The prolific growth in PD applications has led to a tremendous number of contributions in various disciplines. This manuscript aims to provide a concise description of the PD theory together with a review of its major applications and related studies in different fields to date. Moreover, we succinctly highlight some lines of research that are yet to be investigated.

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“…Thus, there are still many works in the framework of BPD currently. Zhou and Wang et al [18,[20][21][22] proposed a conjugated bond-based PD model for linear elastic isotropic material with arbitrary Poisson's ratio. In this model, the authors considered the energy caused by the change of angle subtended by conjugated bonds.…”

Section: Introductionmentioning

confidence: 99%

A Non-Ordinary State-Based Peridynamic Constitutive Model Based on Three-Body Interaction Potential and Its Implementation on Algorithm

Huang

2020

J Peridyn Nonlocal Model

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In the framework of peridynamics (PD), bond-based constitutive model is more intuitional but less universal than that of state-based one. In order to demonstrate the advantages of these two models, a non-ordinary state-based peridynamic constitutive model is developed based on three-body interaction potential. An explicit general relation between PD material parameters and elastic constants (Young's modulus and Poisson's ratio) is rigorously derived, without the need for any particular assumptions about the modes of deformation. Two numerical examples, namely, the uniaxial tension of a bar and the penetration of a plate impacted by a rigid ball, respectively, are presented. Results show that the proposed constitutive model can be used to correctly and effectively characterize the Poisson's effect of solid deformation and fragmentation caused by impact.

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Numerical Simulation of Failure of Rock-Like Material Subjected to Compressive Loads Using Improved Peridynamic Method

Cited by 77 publications

References 27 publications

A peridynamic investigation on crushing of sand particles

A peridynamic investigation on crushing of sand particles

Peridynamics review

A Non-Ordinary State-Based Peridynamic Constitutive Model Based on Three-Body Interaction Potential and Its Implementation on Algorithm

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