In the framework of a model for the quasistatic crack growth in pressure-sensitive elasto-plastic materials in the planar case, we study the properties of the length ℓ(t) of the crack as a function of time. We prove that, under suitable technical assumptions on the crack path, the monotone function ℓ is a pure jump function.
On the pure jump nature of crack growth for a class of pressure-sensitive elasto-plastic materials / Dal Maso, G.; Toader, R.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 214:(2022), pp. 1-33. [10.1016/j.na.2021.112539]
On the pure jump nature of crack growth for a class of pressure-sensitive elasto-plastic materials
Dal Maso G.;Toader R.
2022-01-01
Abstract
In the framework of a model for the quasistatic crack growth in pressure-sensitive elasto-plastic materials in the planar case, we study the properties of the length ℓ(t) of the crack as a function of time. We prove that, under suitable technical assumptions on the crack path, the monotone function ℓ is a pure jump function.File in questo prodotto:
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