In the setting of finite elasticity we study the asymptotic behaviour of a crack that propagates quasi-statically in a brittle material. With a natural scaling of size and boundary conditions we prove that for large domains the evolution with finite elasticity converges to the evolution with linearized elasticity. In the proof the crucial step is the (locally uniform) convergence of the non-linear to the linear energy release rate, which follows from the combination of several ingredients: the $\Gamma$-convergence of re-scaled energies, the strong convergence of minimizers, the Euler-Lagrange equation for non-linear elasticity and the volume integral representation of the energy release
We provide a rigorous justification of the classical linearization approach in plasticity. By taking...
In this paper, the crack derivatives , which de ned to be the limits of the blow-up sequences,are f...
These notes begin with a review of the mainstream theory of brittle fracture, as it has emerged from...
In the setting of finite elasticity we study the asymptotic behaviour of a crack that propagates qua...
We consider crack propagation in brittle nonlinear elastic materials in the context of quasi-static ...
The small-deformation limit of finite elasticity is considered in presence of a given crack. The res...
The small-deformation limit of finite elasticity is considered in presence of a given crack. The res...
International audienceThis paper deals with quasi-static crack growth in thin films. We show that, w...
New scaling laws are proposed for crack propagation in geometrically similar non-linear elastic stru...
AbstractWe consider the quasi-static evolution of a straight crack within the recently developed pha...
5 pages, 4 figures, accepted in Phys. Rev. Lett.We study how the loading rate, specimen geometry and...
We consider the propagation of a crack in a brittle material along a prescribed crack path and defin...
This paper considers analytical issues associated with the notion of the energy release rate in quas...
This work is devoted to the study of models of fractures growth in brittle elastic materials; it col...
The energy functional of linear elasticity is obtained as Gamma-limit of suitable rescalings of the ...
We provide a rigorous justification of the classical linearization approach in plasticity. By taking...
In this paper, the crack derivatives , which de ned to be the limits of the blow-up sequences,are f...
These notes begin with a review of the mainstream theory of brittle fracture, as it has emerged from...
In the setting of finite elasticity we study the asymptotic behaviour of a crack that propagates qua...
We consider crack propagation in brittle nonlinear elastic materials in the context of quasi-static ...
The small-deformation limit of finite elasticity is considered in presence of a given crack. The res...
The small-deformation limit of finite elasticity is considered in presence of a given crack. The res...
International audienceThis paper deals with quasi-static crack growth in thin films. We show that, w...
New scaling laws are proposed for crack propagation in geometrically similar non-linear elastic stru...
AbstractWe consider the quasi-static evolution of a straight crack within the recently developed pha...
5 pages, 4 figures, accepted in Phys. Rev. Lett.We study how the loading rate, specimen geometry and...
We consider the propagation of a crack in a brittle material along a prescribed crack path and defin...
This paper considers analytical issues associated with the notion of the energy release rate in quas...
This work is devoted to the study of models of fractures growth in brittle elastic materials; it col...
The energy functional of linear elasticity is obtained as Gamma-limit of suitable rescalings of the ...
We provide a rigorous justification of the classical linearization approach in plasticity. By taking...
In this paper, the crack derivatives , which de ned to be the limits of the blow-up sequences,are f...
These notes begin with a review of the mainstream theory of brittle fracture, as it has emerged from...