Random Particle Model for Fracture of Aggregate or Fiber Composites
- 1 August 1990
- journal article
- Published by American Society of Civil Engineers (ASCE) in Journal of Engineering Mechanics
- Vol. 116 (8) , 1686-1705
- https://doi.org/10.1061/(asce)0733-9399(1990)116:8(1686)
Abstract
A particle model for brittle aggregate composite materials such as concretes, rocks, or ceramics is presented. The model is also applicable to the behavior of unidirectionally reinforced fiber composites in the transverse plane. A method of random computer generation of the particle system meeting the prescribed particle size distribution is developed. The particles are assumed to be elastic and have only axial interactions, as in a truss. The interparticle contact layers of the matrix are described by a softening stress‐strain relation corresponding to a prescribed microscopic interparticle fracture energy. Both two‐ and three‐dimensional versions of the model are easy to program, but the latter poses, at present, forbidding demands for computer time. The model is shown to simulate realistically the spread of cracking and its localization. Furthermore, the model exhibits a size effect on: (1) The nominal strength, agreeing with the previously proposed size effect law; and (2) the slope of the post‐peak l...Keywords
This publication has 8 references indexed in Scilit:
- Measurement of Characteristic Length of Nonlocal ContinuumJournal of Engineering Mechanics, 1989
- Softening in Reinforced Concrete Beams and FramesJournal of Structural Engineering, 1987
- Interface Element Modeling of Fracture in Aggregate CompositesJournal of Engineering Mechanics, 1987
- Size Effect in Blunt Fracture: Concrete, Rock, MetalJournal of Engineering Mechanics, 1984
- Numerical simulation of rock burst processes treated as problems of dynamic instabilityRock Mechanics and Rock Engineering, 1983
- Some consideration on the finite element methodInternational Journal for Numerical Methods in Engineering, 1980
- A discrete numerical model for granular assembliesGéotechnique, 1979
- Progressive Failure in a Model Heterogeneous MediumJournal of the Engineering Mechanics Division, 1977