We provide a variational approximation by finite-difference energies of free-discontinuity functionals depending on the symmetrized gradient, which are related to variational models in fracture mechanics for linearly-elastic materials. We perform this approximation in dimension 2 via both discrete and continuous functionals. In the discrete scheme we treat also boundary value problems and we give an extension of the approximation result to dimension 3.

Finite-difference approximation of energies in fracture mechanics

ALICANDRO, Roberto;
2000

Abstract

We provide a variational approximation by finite-difference energies of free-discontinuity functionals depending on the symmetrized gradient, which are related to variational models in fracture mechanics for linearly-elastic materials. We perform this approximation in dimension 2 via both discrete and continuous functionals. In the discrete scheme we treat also boundary value problems and we give an extension of the approximation result to dimension 3.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11580/16832
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