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; M., Focardi; M. S., Gelli. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - 29:(2000), pp. 671-709.
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.| File | Dimensione | Formato | |
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