Scaling in fracture mechanics by Bažant’s law: from finite to linearized elasticity
نویسنده
چکیده
We consider crack propagation in brittle non-linear 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 Bažant’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. AMS Subject Classification. 49S05, 74A45
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