Convergence of non-local finite element energies for fracture mechanics

Luca Lussardi, Matteo Negri

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

9 Citazioni (Scopus)

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 originaleEnglish
pagine (da-a)83-109
Numero di pagine27
RivistaNumerical Functional Analysis and Optimization
Volume28
DOI
Stato di pubblicazionePubblicato - 2007

Keywords

  • finite element energies

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