Free discontinuity problems arising in the variational theory for fracture mechanics are considered. A Gamma-convergence proof for a r-adaptive 3D finite element discretization is given in the case of a brittle material. The optimal displacement field, crack pattern and mesh geometry are obtained through a variational procedure that encompasses both mechanical and configurational forces. Possible extensions to cohesive fracture and quasi-static evolutions are discussed.
On the convergence of 3D free discontinuity models in variational fracture
FRATERNALI, Fernando;
2010-01-01
Abstract
Free discontinuity problems arising in the variational theory for fracture mechanics are considered. A Gamma-convergence proof for a r-adaptive 3D finite element discretization is given in the case of a brittle material. The optimal displacement field, crack pattern and mesh geometry are obtained through a variational procedure that encompasses both mechanical and configurational forces. Possible extensions to cohesive fracture and quasi-static evolutions are discussed.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.