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;
2000-01-01
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.File in questo prodotto:
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