Damage localization and rupture with gradient damage models
Journal Title: Frattura ed Integrità Strutturale - Year 2012, Vol 6, Issue 19
Abstract
We propose a method of construction of non homogeneous solutions to the problem of traction of a bar made of an elastic-damaging material whose softening behavior is regularized by a gradient damage model. We show that, for sufficiently long bars, localization arises on sets whose length is proportional to the material internal length and with a profile which is also characteristic of the material. The rupture of the bar occurs at the center of the localization zone when the damage reaches there the critical value corresponding to the loss of rigidity of the material. The dissipated energy during all the damage process up to rupture is a quantity which can be expressed in terms of the material parameters. Accordingly, can be considered as the usual surface energy density appearing in the Griffith theory of brittle fracture. All these theoretical considerations are illustrated by numerical examples.
Authors and Affiliations
K. Pham, J. -J. J. -J. Marigo
Keywords
Related Articles
- EP ID EP103069
- DOI 10.3221/IGF-ESIS.19.01
- Views 68
- Downloads 0
Some practical crack path examples
It is well known that many engineering structures and components, as well as consumer items, contain cracks or crack-like flaws. It is widely recognised that crack growth must be considered both in design and in...
3D Analyses of crack propagation in torsion
The initiation and propagation of fatigue cracks during cyclic torsion loading was studied in a cast Al alloy (A357) with a relatively large (~500 μm) grain size. 2D observations, revealed that multi site crack i...
Experimental estimation of the heat energy dissipated in a volume surrounding the tip of a fatigue crack
Fatigue crack initiation and propagation involve plastic strains that require some work to be done on the material. Most of this irreversible energy is dissipated as heat and consequently the material temperature&...
A link between the peak stresses and the averaged strain energy density for cracks under mixed-mode (I+II) loading
In this work, a link between the averaged strain energy density (SED) approach and the peak stress method in the case of cracks subjected to mixed mode (I+II) loading has been investigated. Some closed-form e...
Crack initiation and fracture features of Fe–Co–B–Si–Nb bulk metallic glass during compression
The aim of the paper was investigation crack initiation and fracture features developed during compression of Fe-based bulk metallic glass (BMG). These Fe-based BMG has received great attention as a new class...