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Journal ArticleDOI

A combined finite‐discrete element method in transient dynamics of fracturing solids

A. Munjiza, +2 more
- 01 Feb 1995 - 
- Vol. 12, Iss: 2, pp 145-174
TLDR
In this paper, the authors discuss the issues involved in the development of combined finite/discrete element methods, both from a fundamental theoretical viewpoint and some related algorithmic considerations essential for the efficient numerical solution of large scale industrial problems.
Abstract
This paper discusses the issues involved in the development of combined finite/discrete element methods; both from a fundamental theoretical viewpoint and some related algorithmic considerations essential for the efficient numerical solution of large scale industrial problems. The finite element representation of the solid region is combined with progressive fracturing, which leads to the formation of discrete elements, which may be composed of one or more deformable finite elements. The applicability of the approach is demonstrated by the solution of a range of examples relevant to various industrial sections.

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Reference EntryDOI

Computational Contact Mechanics

TL;DR: The mathematical structure of the contact formulation for finite element methods is derived on the basis of a continuum description of contact, and several algorithms related to spatial contact search and fulfillment of the inequality constraints at the contact interface are discussed.
Journal ArticleDOI

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 analysis of initiation and progressive failure in natural rock slopes—the 1991 Randa rockslide

TL;DR: In this article, the authors investigated the concept of progressive failure and the numerical modelling of rock mass strength degradation in natural rock slopes using the Randa rockslide as a working example.
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.
Journal ArticleDOI

Structural Analysis of Masonry Historical Constructions. Classical and Advanced Approaches

TL;DR: A review of methods applicable to the study of masonry historical construction, encompassing both classical and advanced ones, is presented in this paper, where the main available strategies, including limit analysis, simplified methods, FEM macro- or micro-modeling and discrete element methods (DEM), are considered with regard to their realism, computer efficiency, data availability and real applicability to large structures.
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.
Journal ArticleDOI

A Model for the Mechanics of Jointed Rock

TL;DR: In this article, a linkage type element is developed for adding rock joint stiffness to the structural stiffness matrix describing the behavior of a system of rock blocks and joints and a new classification of joints is introduced, based on the application of the joint element to finite element analysis of structures in jointed rock.