The aim of this contribution is to formulate equivalent continuum finite element model for two-dimensional atomic arrays under plane-stress condition, based on Eringen's two phase local/nonlocal model. The interaction between the atoms is modelled using translational and rotational linear elastic springs including both nearest and second nearest neighbor relations. Explicit relations between those set of springs and material properties of associated continuum model is looked for by means of equivalency of potential energy stored in atomic bonds and strain energy of continuum. Possibility of reducing computational burden of full atomic models by equivalent continuum models is discussed. This study may be regarded as the first step in composing a partitioned-domain multiscale model; with possibly smoother transition between coarse and fine scales due to the ability of nonlocal continuum model in incorporating long-range interactions.

Deformation of atomic models and their equivalent continuum counterparts using Eringen's two-phase local/nonlocal model / Tuna, Meral; Kirca, Mesut; Trovalusci, Patrizia. - In: MECHANICS RESEARCH COMMUNICATIONS. - ISSN 0093-6413. - 97:(2019), pp. 26-32. [10.1016/j.mechrescom.2019.04.004]

Deformation of atomic models and their equivalent continuum counterparts using Eringen's two-phase local/nonlocal model

Trovalusci, Patrizia
2019

Abstract

The aim of this contribution is to formulate equivalent continuum finite element model for two-dimensional atomic arrays under plane-stress condition, based on Eringen's two phase local/nonlocal model. The interaction between the atoms is modelled using translational and rotational linear elastic springs including both nearest and second nearest neighbor relations. Explicit relations between those set of springs and material properties of associated continuum model is looked for by means of equivalency of potential energy stored in atomic bonds and strain energy of continuum. Possibility of reducing computational burden of full atomic models by equivalent continuum models is discussed. This study may be regarded as the first step in composing a partitioned-domain multiscale model; with possibly smoother transition between coarse and fine scales due to the ability of nonlocal continuum model in incorporating long-range interactions.
2019
Atomic array; Eringen; Finite element method; Two-phase local/nonlocal model
01 Pubblicazione su rivista::01a Articolo in rivista
Deformation of atomic models and their equivalent continuum counterparts using Eringen's two-phase local/nonlocal model / Tuna, Meral; Kirca, Mesut; Trovalusci, Patrizia. - In: MECHANICS RESEARCH COMMUNICATIONS. - ISSN 0093-6413. - 97:(2019), pp. 26-32. [10.1016/j.mechrescom.2019.04.004]
File allegati a questo prodotto
File Dimensione Formato  
Tuna_Deformation_2019.pdf

Open Access dal 05/04/2019

Tipologia: Documento in Post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 1.36 MB
Formato Adobe PDF
1.36 MB Adobe PDF

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/11573/1263404
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 48
  • ???jsp.display-item.citation.isi??? 44
social impact