We consider crack propagation in brittle nonlinear elastic materials in the context of quasi-static evolutions of energetic type. Given a sequence of self-similar domains nΩ on which the imposed boundary conditions scale according to Bazant's law, we show, in agreement with several experimental data, that the corresponding sequence of evolutions converges (for n → ∞) to the evolution of a crack in a brittle linear-elastic material
Scaling in fracture mechanics by BaŽant law: From finite to linearized elasticity / Negri, Matteo; Toader, Rodica. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - STAMPA. - 25:7(2015), pp. 1389-1420.
Titolo: | Scaling in fracture mechanics by BaŽant law: From finite to linearized elasticity |
Autori: | |
Data di pubblicazione: | 2015 |
Rivista: | |
Citazione: | Scaling in fracture mechanics by BaŽant law: From finite to linearized elasticity / Negri, Matteo; Toader, Rodica. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - STAMPA. - 25:7(2015), pp. 1389-1420. |
Abstract: | We consider crack propagation in brittle nonlinear elastic materials in the context of quasi-static evolutions of energetic type. Given a sequence of self-similar domains nΩ on which the imposed boundary conditions scale according to Bazant's law, we show, in agreement with several experimental data, that the corresponding sequence of evolutions converges (for n → ∞) to the evolution of a crack in a brittle linear-elastic material |
Handle: | http://hdl.handle.net/11390/1093254 |
Appare nelle tipologie: | 1.1 Articolo in rivista |