Abstract
A simple methodology to model shear bands as strong displacement discontinuities in a mesh-free particle method is presented. The shear band is represented as a set of sheared particles. A sheared particle is developed through enrichment by tangential displacement discontinuities. The representation of the shear band as set of cohesive segments provides a simple and versatile model of shear bands. The loss of material stability is used as the criterion for switching from a classical continuum description of the constitutive behaviour to a traction-separation law acting on the discontinuity surface. The method is implemented for two and three dimensions. Examples of shear band progression in rate-dependent and rate-independent materials are presented, including the Kalthoff problem, where the transition from brittle fracture to shear banding is studied.
| Original language | English |
|---|---|
| Pages (from-to) | 993-1021 |
| Number of pages | 29 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 69 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2007 Jan 29 |
Keywords
- Loss of hyperbolicity
- Mesh-free methods
- Shear bands
- Traction-separation laws
ASJC Scopus subject areas
- Numerical Analysis
- Engineering(all)
- Applied Mathematics