We provide a variational approximation by finite-difference energies of functionals of the type defined for u E SBD(Q), which are related to variational models in ’ fracture mechanics for linearly-elastic materials. We perform this approximation in di- mension 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
GELLI, MARIA STELLA
2000-01-01
Abstract
We provide a variational approximation by finite-difference energies of functionals of the type defined for u E SBD(Q), which are related to variational models in ’ fracture mechanics for linearly-elastic materials. We perform this approximation in di- mension 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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