We prove three density theorems, in the strong BD topology, for the three subspaces of SBD functions: SBD; SBDp∞, where the absolutely continuous part of the symmetric gradient is in Lp, with p > 1; SBDp, whose functions are in SBDp∞ and the jump set has finite Hn-1-measure. We compare them with existing results, discussing related approximation of fracture energies.

Density in SBD and approximation of fracture energies / Crismale, V.. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - 30:3(2019), pp. 533-542. [10.4171/RLM/859]

Density in SBD and approximation of fracture energies

Crismale V.
2019

Abstract

We prove three density theorems, in the strong BD topology, for the three subspaces of SBD functions: SBD; SBDp∞, where the absolutely continuous part of the symmetric gradient is in Lp, with p > 1; SBDp, whose functions are in SBDp∞ and the jump set has finite Hn-1-measure. We compare them with existing results, discussing related approximation of fracture energies.
2019
Cohesive fracture; free discontinuity problems; special bounded deformation functions; strong approximation; Γ-convergence
01 Pubblicazione su rivista::01a Articolo in rivista
Density in SBD and approximation of fracture energies / Crismale, V.. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - 30:3(2019), pp. 533-542. [10.4171/RLM/859]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1485811
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