In this paper, the authors aim to analyze the response of a one-dimensional non-local elastic solid with uncertain Young’s modulus. The non-local effects are represented as long-range central body forces between non-adjacent volume elements. Following a non-probabilistic approach, the fluctuating elastic modulus of the material is modeled as an interval field. The analysis is conducted resorting to a novel formulation that confines the overestimation effect involved in interval models. Approximate closed-form expressions are derived for the bounds of the interval displacement field.

Long-range interactions in 1D heterogeneous solids with uncertainty / Muscolino, G; Sofi, Alba; Zingales, M. - In: PROCEDIA IUTAM. - ISSN 2210-9838. - 6:(2013), pp. 69-78. (Intervento presentato al convegno IUTAM Symposium on Multiscale Problems in Stochastic Mechanics 2012 tenutosi a Karlsruhe nel 21-24 giugno) [10.1016/j.piutam.2013.01.008].

Long-range interactions in 1D heterogeneous solids with uncertainty

SOFI, Alba;
2013-01-01

Abstract

In this paper, the authors aim to analyze the response of a one-dimensional non-local elastic solid with uncertain Young’s modulus. The non-local effects are represented as long-range central body forces between non-adjacent volume elements. Following a non-probabilistic approach, the fluctuating elastic modulus of the material is modeled as an interval field. The analysis is conducted resorting to a novel formulation that confines the overestimation effect involved in interval models. Approximate closed-form expressions are derived for the bounds of the interval displacement field.
2013
non-local elasticity, long-range interactions, interval field, upper bound and lower bound
File in questo prodotto:
File Dimensione Formato  
Muscolino_2013_Procedia_Long-range_editor.pdf

non disponibili

Tipologia: Versione Editoriale (PDF)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 285.7 kB
Formato Adobe PDF
285.7 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

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/20.500.12318/13739
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact