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.

Lussardi, L., Negri, M., Convergence of non-local finite element energies for fracture mechanics, <<NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION>>, 2007; 28 (1-2): 83-109. [doi:10.1080/01630560701189994] [http://hdl.handle.net/10807/1976]

Convergence of non-local finite element energies for fracture mechanics

Lussardi;
2007

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.
Inglese
Lussardi, L., Negri, M., Convergence of non-local finite element energies for fracture mechanics, <<NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION>>, 2007; 28 (1-2): 83-109. [doi:10.1080/01630560701189994] [http://hdl.handle.net/10807/1976]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/1976
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