Abstract
Usually, smeared crack techniques are based on the following features: the fracture is represented by means of a band of finite elements and by a softening constitutive law of damage type. Often, these methods are implemented with nonlocal operators that control the localization effects and reduce the mesh bias. We consider a nonlocal smeared crack energy defined for a finite element space on a structured grid. We characterize the limit energy as the mesh size h tends to zero and we establish a precise link between the discrete and continuum formulations of the fracture energies, showing the correct scaling and the explicit form of the mesh bias.
Lingua originale | English |
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pagine (da-a) | 83-109 |
Numero di pagine | 27 |
Rivista | Numerical Functional Analysis and Optimization |
Volume | 28 |
DOI | |
Stato di pubblicazione | Pubblicato - 2007 |
Pubblicato esternamente | Sì |
Keywords
- finite element energies