Some observations on embedded discontinuity models
- 1 February 2001
- journal article
- Published by Emerald Publishing in Engineering Computations
- Vol. 18 (1/2), 241-254
- https://doi.org/10.1108/02644400110365897
Abstract
The formulation of finite elements with incompatible discontinuous modes is examined rigorously. Both weak and strong discontinuities are considered. Starting from a careful elaboration of the kinematics for both types of discontinuities a comprehensive finite element formulation is derived based on a three‐field variational statement. Similarities and differences are highlighted between the various formulations which ensue.Keywords
This publication has 24 references indexed in Scilit:
- MODELLING STRONG DISCONTINUITIES IN SOLID MECHANICS VIA STRAIN SOFTENING CONSTITUTIVE EQUATIONS. PART 2: NUMERICAL SIMULATIONInternational Journal for Numerical Methods in Engineering, 1996
- Embedded representation of fracture in concrete with mixed finite elementsInternational Journal for Numerical Methods in Engineering, 1995
- Wave propagation, localization and dispersion in a gradient-dependent mediumInternational Journal of Solids and Structures, 1993
- Gradient‐dependent plasticity: Formulation and algorithmic aspectsInternational Journal for Numerical Methods in Engineering, 1992
- Dynamic strain localization in elasto-(visco-)plastic solids, Part 1. General formulation and one-dimensional examplesComputer Methods in Applied Mechanics and Engineering, 1990
- A class of mixed assumed strain methods and the method of incompatible modesInternational Journal for Numerical Methods in Engineering, 1990
- The thickness of shear bands in granular materialsGéotechnique, 1987
- A finite element method for localized failure analysisComputer Methods in Applied Mechanics and Engineering, 1987
- The patch test—a condition for assessing FEM convergenceInternational Journal for Numerical Methods in Engineering, 1986
- Finite element analysis of deformation of strain‐softening materialsInternational Journal for Numerical Methods in Engineering, 1981