title: Numerical implementation of multiple peeling theory and its application to spider web anchorages.
abstract: Adhesion of spider web anchorages has been studied in recent years, including the specific functionalities achieved through different architectures. To better understand the delamination mechanisms of these and other biological or artificial fibrillar adhesives, and how their adhesion can be optimized, we develop a novel numerical model to simulate the multiple peeling of structures with arbitrary branching and adhesion angles, including complex architectures. The numerical model is based on a recently developed multiple peeling theory, which extends the energy-based single peeling theory of Kendall, and can be applied to arbitrarily complex structures. In particular, we numerically show that a multiple peeling problem can be treated as the superposition of single peeling configurations even for complex structures. Finally, we apply the developed numerical approach to study spider web anchorages, showing how their function is achieved through optimal geometrical configurations.
authors: Department of Physics and 'Nanostructured Interfaces and Surfaces' Centre , Università di Torino , via P. Giuria 1, Torino 10125 , Italy.
authors: Lucas
authors: L
authors: Brely
authors: Department of Physics and 'Nanostructured Interfaces and Surfaces' Centre , Università di Torino , via P. Giuria 1, Torino 10125 , Italy.
authors: Federico
authors: 0000-0002-2886-4519
authors: F
authors: Bosia
authors: Laboratory of Bio-Inspired & Graphene Nanomechanics, Department of Civil, Environmental and Mechanical Engineering , Università di Trento , via Mesiano 77, Trento 38123 , Italy ; Center for Materials and Microsystems , Fondazione Bruno Kessler , via Sommarive 18, Povo (Trento) 38123 , Italy ; School of Engineering and Materials Science , Queen Mary University of London , Mile End Road, London E1 4NS , UK.
authors: Nicola M
authors: NM
authors: Pugno
keywords: adhesion; multiple peeling; numerical simulations; spider web anchorages
references: Nat Commun. 2012;3:1106
references: 23033082
references: Nature. 2012 Feb 01;482(7383):72-6
references: 22297972
references: Nat Commun. 2010 May 17;1:19
references: 20975677
references: Integr Comp Biol. 2002 Dec;42(6):1081-90
references: 21680391
references: Nat Mater. 2003 Jul;2(7):461-3
references: 12776092
references: Proc Natl Acad Sci U S A. 2003 Sep 16;100(19):10603-6
references: 12960386
references: Small. 2013 Aug 26;9(16):2747-56
references: 23585296
references: J R Soc Interface. 2013 Apr 03;10(83):20130182
references: 23554349
references: J Biol Chem. 2009 Oct 16;284(42):29097-108
references: 19666476
references: Philos Trans A Math Phys Eng Sci. 2008 May 13;366(1870):1557-74
references: 18192171