We provide a homogenisation result for the energy-functional associated with a purely brittle composite whose microstructure is characterised by soft periodic inclusions embedded in a stiffer matrix. We show that the two constituents as above can be suitably arranged on a microscopic scale ε to obtain, in the limit as ε tends to zero, a homogeneous macroscopic energy-functional explicitly depending on the opening of the crack.

A Bridging Mechanism in the Homogenization of Brittle Composites with Soft Inclusions / Barchiesi, M.; Lazzaroni, Giuliano; Zeppieri, C. I.. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - 48:2(2016), pp. 1178-1209. [10.1137/15M1007343]

A Bridging Mechanism in the Homogenization of Brittle Composites with Soft Inclusions

2016-01-01

Abstract

We provide a homogenisation result for the energy-functional associated with a purely brittle composite whose microstructure is characterised by soft periodic inclusions embedded in a stiffer matrix. We show that the two constituents as above can be suitably arranged on a microscopic scale ε to obtain, in the limit as ε tends to zero, a homogeneous macroscopic energy-functional explicitly depending on the opening of the crack.
2016
48
2
1178
1209
10.1137/15M1007343
Barchiesi, M.; Lazzaroni, Giuliano; Zeppieri, C. I.
File in questo prodotto:
File Dimensione Formato  
15m1007343.pdf

accesso aperto

Tipologia: Versione Editoriale (PDF)
Licenza: Non specificato
Dimensione 751.27 kB
Formato Adobe PDF
751.27 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/32571
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 21
  • ???jsp.display-item.citation.isi??? 20
social impact