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Journal ArticleDOI

Numerical modelling of discontinua

Peter Cundall, +1 more
- 01 Feb 1992 - 
- Vol. 9, Iss: 2, pp 101-113
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TLDR
Discrete element methods are numerical procedures for simulating the complete behavior of systems of discrete, interacting bodies as mentioned in this paper, and they can be classified into four classes: the distinct element method, modal methods, discontinuous deformation analysis and the momentum exchange method.
Abstract
Discrete element methods are numerical procedures for simulating the complete behaviour of systems of discrete, interacting bodies. Three important aspects of discrete element programs are examined: (1) the representation of contacts; (2) the representation of solid material; and (3) the scheme used to detect and revise the set of contacts. A proposal is made to define what constitutes a discrete element program, and four classes of such programs are described: the distinct element method, modal methods, discontinuous deformation analysis and the momentum‐exchange method. Several applications and examples are presented, and a list is given of suggestions for future developments.

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A bonded-particle model for rock

TL;DR: In this paper, a numerical model for rock is proposed in which the rock is represented by a dense packing of non-uniform-sized circular or spherical particles that are bonded together at their contact points and whose mechanical behavior is simulated by the distinct element method using the two-and three-dimensional discontinuum programs PFC2D and PFC3D.
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Computational modelling of impact damage in brittle materials

TL;DR: In this paper, a Lagrangian finite element method of fracture and fragmentation in brittle materials is developed, where a cohesive-law fracture model is used to propagate multiple cracks along arbitrary paths.
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A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering

TL;DR: In this paper, the authors present the techniques, advances, problems and likely future developments in numerical modelling for rock mechanics and discuss the value that is obtained from the modelling, especially the enhanced understanding of those mechanisms initiated by engineering perturbations.
Journal ArticleDOI

Numerical methods in rock mechanics

TL;DR: In this paper, the authors present the techniques, advances, problems and likely future development directions in numerical modeling for rock mechanics and rock engineering, as well as a review of the current state of the art.
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The 2003 Canadian Geotechnical Colloquium: Mechanistic interpretation and practical application of damage and spalling prediction criteria for deep tunnelling

TL;DR: In this article, the authors used analytical and micromechanical tools to validate a simple empirical predictive model for tunnel spall initiation in hard-rock and granitoid or gneissic ground.
References
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Journal Article

Discrete numerical model for granular assemblies.

Peter Cundall, +1 more
- 01 Jan 1979 - 
TL;DR: The distinct element method as mentioned in this paper is a numerical model capable of describing the mechanical behavior of assemblies of discs and spheres and is based on the use of an explicit numerical scheme in which the interaction of the particles is monitored contact by contact and the motion of the objects modelled particle by particle.
Journal ArticleDOI

A discrete numerical model for granular assemblies

Peter Cundall, +1 more
- 01 Mar 1979 - 
TL;DR: The distinct element method as mentioned in this paper is a numerical model capable of describing the mechanical behavior of assemblies of discs and spheres and is based on the use of an explicit numerical scheme in which the interaction of the particles is monitored contact by contact and the motion of the objects modelled particle by particle.