Numerical experiments in 2D variational fracture
Journal Title: Frattura ed Integrità Strutturale - Year 2010, Vol 4, Issue 12
Abstract
In the present work we present some results of numerical experiments obtained with a variational model for quasi-static Griffith-type brittle fracture. Essentially the analysis is based on a recent formulation by Francfort and Marigo the main difference being the fact that we rely on local rather than on global minimization. Propagation of fracture is obtained by minimizing, in a step by step process, a form of energy that is the sum of bulk and interface terms. To solve the problem numerically we adopt discontinuous finite elements based on variable meshes and search for the minima of the energy through descent methods. We use a sort of mesh dependent relaxation of the interface energy to get out of small energy wells. The relaxation consists in the adoption of a carefully tailored cohesive type interface energy, tending to the Griffith limit as the mesh size tends to zero.
Authors and Affiliations
M. Angelillo, A. Fortunato, E. Babilio, M. Lippiello, L. Cardamone
Keywords
Related Articles
- EP ID EP145248
- DOI 10.3221/IGF-ESIS.12.07
- Views 43
- Downloads 0
Damage initiation in brittle and ductile materials as revealed from a fractoluminescence study
A set of heterogeneous and homogeneous materials differing in their brittle and ductile characteristics (granite, marble, silica ceramics, silicon carbide, organic glass) were subjected to impact damaging by a fa...
Effects of surfaces nanocrystallization induced by shot peening on material properties : a Review
A brief description of surface nanosrystallization process via severe plastic deformation is presented. To come to the point different shot peening methods which have proved to be able to create nanocrystalline layers ar...
On numerical integration for effective stress assessment at notches
This paper presents a numerical method for non-local stress assessment by means of a general FE tool and the local stress field. Unlike usual calculations by means of a numerical PDE solver, a more general numerica...
Time and frequency domain models for multiaxial fatigue life estimation under random loading
Engineering structures and components are often subjected to random fatigue loading produced, for example, by wind turbulences, marine waves and vibrations. The methods available in the literature for fatigue ass...
The research for mechanics stimulation method of nonlinearrandom vibration based on statistical linear theory
Earthquake disasters have brought great harm to people's life safety and economic property. Itseffect on fabric mainly focus on random effects currently, the general pseudo excitation method could solve theineffici...