Numerical Models in Discontinuous Media: Review of Advances for Rock Mechanics Applications

Bobet, Antonio; Fakhimi, A.; Johnson, S. M.; Morris, Joseph P.; Tonon, Fulvio; Yeung, M.R.

doi:10.1061/(asce)gt.1943-5606.0000133

“…The development of this method began in the early 1980s (1). More recently, researchers have used this method to study the damage of heterogeneous solids such as concrete (2) or rock (3), and homogeneous materials such as ceramics (4).…”

Section: Introductionmentioning

confidence: 99%

Discrete element method to simulate continuous material by using the cohesive beam model

Debenath

¹

,

Iordanoff

²

,

Charles

³

et al. 2012

Computer Methods in Applied Mechanics and Engineering

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractThe mechanical behavior of materials is usually simulated by the continuous mechanics approach. However, simulation of non-continuous phenomena like multi-fracturing is not well adapted to a continuous description. In this case, the discrete element method (DEM) is a good alternative because it naturally takes into account discontinuities.Many researchers have shown interest in this approach for wear and fracture simulation. The problem is that, while DEM is well adapted to simulate discontinuities, it is not suitable to simulate continuous behavior. In problems of wear or fracture, material is composed of continuous parts and discontinuous interfaces. The aim of the present work is to improve the ability of DEM to simulate the continuous part of the material using cohesive bond model.Continuous mechanics laws cannot be used directly within a DEM formulation. A second difficulty is that the volume between the discrete elements creates an artificial void inside the material. This paper proposes a methodology that tackles these theoretical difficulties and simulates, using a discrete element model, any material defined by a Young's modulus, Poisson's ratio and density, to fit the static and dynamic mechanical behavior of the material. The chosen cohesive beam model is shown to be robust concerning the influence of the discrete element sizes. This method is applied to a material which can be considered as perfectly elastic: fused silica.

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“…The method was first developed in the early 1980s (1). More recently, researchers have used this method to study damage in heterogeneous solids, such as concrete (2) or rock (3), and homogeneous materials, such as ceramics (4).…”

Section: Introductionmentioning

confidence: 99%

Using the discrete element method to simulate brittle fracture in the indentation of a silica glass with a blunt indenter

Debenath

¹

,

Jebahi

²

,

Iordanoff

³

et al. 2013

Computer Methods in Applied Mechanics and Engineering

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractThe mechanical behavior of materials is usually simulated by a continuous mechanics approach. However, noncontinuous phenomena such as multi-fracturing cannot be accurately simulated using a continuous description. The discrete element method (DEM) naturally accounts for discontinuities and is therefore a good alternative to the continuum approach.This study continues previous work in which a DEM model was developed to quantitatively simulate an elastic material with the cohesive beam bond model. The simulation of brittle cracks is now tackled. This goal is attained by computing a failure criterion based on an equivalent hydrostatic stress. This microscopic criterion is then calibrated to fit experimental values of the macroscopic failure stress. The simulation results are compared to experimental results of indentation tests in which a spherical indenter is used to load a silica glass, which is considered to be a perfectly brittle elastic material.

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“…Originally, this class of methods has been developed for problems of granular media in rocks mechanics [29]. More recently, it has been applied to study the damage of heterogeneous media such as concrete [49] and rocks [20], but also to study the damage of homogeneous media such as ceramics [104] and glasses [6,7,55,56]. In these studies, the material is modeled by an agglomerate of discrete elements which interact via bilateral cohesive links to ensure the cohesion of the medium.…”

Section: Mesoscopic Discrete Methodsmentioning

confidence: 99%

Multiscale Modeling of Complex Dynamic Problems: An Overview and Recent Developments

Jebahi

¹

,

Dau

²

,

Charles

³

et al. 2014

Arch Computat Methods Eng

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International audienceMultiscale modeling aims to solve problems at the engineering (macro) scale while considering the complexity of the microstructure with minimum cost. Generally, two scales are considered in multiscale modeling: small scale, which is designed to capture the mechanical phenomena at the atomistic, molecular or molecular cluster level, and large scale which is connected to continuous description. For each scale, well-established numerical methods have been developed over the years to handle the relevant phenomena. As a first part of this paper, the most popular numerical methods, used at different scales, as well as the coupling approaches between them are classified, according to their features and applications, so that the place of those used in multiscale modeling can be distinguished. Subsequently, the class of concurrent discrete–continuum coupling approaches, which is well adapted for dynamic studies of complex multiscale problems, is reviewed. Several techniques used in this class are also detailed. Among them, the bridging domain (BD) technique is used to develop a discrete–continuum coupling approach, adapted for dynamic simulations, between the Discrete Element Method and the Constrained Natural Element Method (CNEM). This approach is applied to study the BD coupling parameters in dynamics. Several results giving more light on the setting of these parameters in practice are obtained

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Numerical Models in Discontinuous Media: Review of Advances for Rock Mechanics Applications

Cited by 146 publications

References 99 publications

Discrete element method to simulate continuous material by using the cohesive beam model

Discrete element method to simulate continuous material by using the cohesive beam model

Using the discrete element method to simulate brittle fracture in the indentation of a silica glass with a blunt indenter

Multiscale Modeling of Complex Dynamic Problems: An Overview and Recent Developments

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