Extreme adhesion mechanisms are shown in a wide number of situations in nature, from structures of single cells and spider web anchorages to hierarchical organization of ends and pads of insects and reptiles. With this in mind, we here propose a general formulation of multiple peeling theory accounting for geometrical and constitutive nonlinearities, i.e. large deformations and hyperelasticity. Pre-stress of adherent tracts and different initial V-shaped configurations of the tapes have been also included in the modelling. By following an analytical approach, closed-form solutions and explicit formulas were given for predicting pull-off critical forces and optimality conditions maximizing the adhesion strength, as well as for tracing the evolution of the delamination process, from the detaching onset to its progressive behaviour. Kendall and previous constitutively linear multiple peeling theory approaches were all recovered as limit cases, gaining insights into the role played by nonlinearities and pre-stress and also demonstrating – with mathematically rigorous arguments – the asymptotic character of the detaching phenomenon observed experimentally. Example applications and simple key tests were provided to show the effectiveness of the approach, which could help to interpret peeling in nature and to design materials with enhanced adhesive properties.

Generalized multiple peeling theory uploading hyperelasticity and pre-stress / Fraldi, M.; Palumbo, S.; Carotenuto, A. R.; Cutolo, A.; Pugno, N. M.. - In: EXTREME MECHANICS LETTERS. - ISSN 2352-4316. - 42:(2021), p. 101085. [10.1016/j.eml.2020.101085]

Generalized multiple peeling theory uploading hyperelasticity and pre-stress

Fraldi M.
;
Palumbo S.;Carotenuto A. R.;Cutolo A.;
2021

Abstract

Extreme adhesion mechanisms are shown in a wide number of situations in nature, from structures of single cells and spider web anchorages to hierarchical organization of ends and pads of insects and reptiles. With this in mind, we here propose a general formulation of multiple peeling theory accounting for geometrical and constitutive nonlinearities, i.e. large deformations and hyperelasticity. Pre-stress of adherent tracts and different initial V-shaped configurations of the tapes have been also included in the modelling. By following an analytical approach, closed-form solutions and explicit formulas were given for predicting pull-off critical forces and optimality conditions maximizing the adhesion strength, as well as for tracing the evolution of the delamination process, from the detaching onset to its progressive behaviour. Kendall and previous constitutively linear multiple peeling theory approaches were all recovered as limit cases, gaining insights into the role played by nonlinearities and pre-stress and also demonstrating – with mathematically rigorous arguments – the asymptotic character of the detaching phenomenon observed experimentally. Example applications and simple key tests were provided to show the effectiveness of the approach, which could help to interpret peeling in nature and to design materials with enhanced adhesive properties.
2021
Generalized multiple peeling theory uploading hyperelasticity and pre-stress / Fraldi, M.; Palumbo, S.; Carotenuto, A. R.; Cutolo, A.; Pugno, N. M.. - In: EXTREME MECHANICS LETTERS. - ISSN 2352-4316. - 42:(2021), p. 101085. [10.1016/j.eml.2020.101085]
File in questo prodotto:
File Dimensione Formato  
EML_2021_MultiplePeeling.pdf

non disponibili

Descrizione: pdf articolo
Tipologia: Documento in Pre-print
Licenza: Accesso privato/ristretto
Dimensione 4.51 MB
Formato Adobe PDF
4.51 MB 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/11588/832701
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 11
  • ???jsp.display-item.citation.isi??? 11
social impact