The energy functional of linear elasticity is obtained as Gamma-limit of suitable rescalings of the energies of finite elasticity. The quadratic control from below of the energy density W(del upsilon) for large values of the deformation gradient del upsilon is replaced here by the weaker condition W(del upsilon) >= vertical bar del upsilon vertical bar(p), for some p > 1. Energies of this type are commonly used in the study of a large class of compressible rubber-like materials. (c) 2012 Elsevier Masson SAS. All rights reserved.

Linear elasticity obtained from finite elasticity by Γ -convergence under weak coerciveness conditions

Agostiniani, Virginia;
2012

Abstract

The energy functional of linear elasticity is obtained as Gamma-limit of suitable rescalings of the energies of finite elasticity. The quadratic control from below of the energy density W(del upsilon) for large values of the deformation gradient del upsilon is replaced here by the weaker condition W(del upsilon) >= vertical bar del upsilon vertical bar(p), for some p > 1. Energies of this type are commonly used in the study of a large class of compressible rubber-like materials. (c) 2012 Elsevier Masson SAS. All rights reserved.
nonlinear elasticity
linearized elasticity
Gamma-convergence
rigidity estimates
File in questo prodotto:
File Dimensione Formato  
weak_Ago_Dal_DeS_.pdf

accesso aperto

Descrizione: articolo principle
Tipologia: Documento in Post-print
Licenza: Creative commons
Dimensione 458.15 kB
Formato Adobe PDF
458.15 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: http://hdl.handle.net/11562/981445
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 21
  • ???jsp.display-item.citation.isi??? 22
social impact