The structural symmetry and the appropriate definition of a reduced (symmetric) me- chanical/numerical model is discussed within a nonlocal elasticity context. In particular, reference is made to an integral model of Eringen-type. The paper highlights how the classical, i.e. local, concepts of structural symmetry have to be rephrased through the def- inition of an enlarged symmetric model of the analyzed structure. This enlarged model, endowed with apposite nonlocal boundary conditions enforced in an iterative fashion, is proved to be able to recover the nonlocal effects that the neglected portion of the structure exerts on the portion chosen for the analysis. It is shown how the mirrored symmetric solution exactly matches the complete one. Theoretical issues and computational strategies referred to a nonlocal version of the finite element method are discussed with reference to the analysis of a case-study.

Structural symmetry within nonlocal integral elasticity: theoretical issues and computational strategies

Pisano A
;
Fuschi P
2017

Abstract

The structural symmetry and the appropriate definition of a reduced (symmetric) me- chanical/numerical model is discussed within a nonlocal elasticity context. In particular, reference is made to an integral model of Eringen-type. The paper highlights how the classical, i.e. local, concepts of structural symmetry have to be rephrased through the def- inition of an enlarged symmetric model of the analyzed structure. This enlarged model, endowed with apposite nonlocal boundary conditions enforced in an iterative fashion, is proved to be able to recover the nonlocal effects that the neglected portion of the structure exerts on the portion chosen for the analysis. It is shown how the mirrored symmetric solution exactly matches the complete one. Theoretical issues and computational strategies referred to a nonlocal version of the finite element method are discussed with reference to the analysis of a case-study.
File in questo prodotto:
File Dimensione Formato  
Pisano_2017_CLS_Structural.pdf

accesso aperto

Descrizione: Articolo Principale
Tipologia: Versione Editoriale (PDF)
Licenza: Creative commons
Dimensione 1.09 MB
Formato Adobe PDF
1.09 MB 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/20.500.12318/1396
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 6
  • ???jsp.display-item.citation.isi??? 6
social impact