Literature DB >> 17358477

Curvature condensation and bifurcation in an elastic shell.

Moumita Das1, Ashkan Vaziri, Arshad Kudrolli, L Mahadevan.   

Abstract

We study the formation and evolution of localized geometrical defects in an indented cylindrical elastic shell using a combination of experiment and numerical simulation. We find that as a symmetric localized indentation on a semicylindrical shell increases, there is a transition from a global mode of deformation to a localized one which leads to the condensation of curvature along a symmetric parabolic defect. This process introduces a soft mode in the system, converting a load-bearing structure into a hinged, kinematic mechanism. Further indentation leads to twinning wherein the parabolic defect bifurcates into two defects that move apart on either side of the line of symmetry. A qualitative theory captures the main features of the phenomena but leads to further questions about the mechanism of defect nucleation.

Entities:  

Year:  2007        PMID: 17358477     DOI: 10.1103/PhysRevLett.98.014301

Source DB:  PubMed          Journal:  Phys Rev Lett        ISSN: 0031-9007            Impact factor:   9.161


  6 in total

1.  Direct observation of the temporal and spatial dynamics during crumpling.

Authors:  Hillel Aharoni; Eran Sharon
Journal:  Nat Mater       Date:  2010-11-14       Impact factor: 43.841

2.  The effect of plasticity in crumpling of thin sheets.

Authors:  T Tallinen; J A Aström; J Timonen
Journal:  Nat Mater       Date:  2008-12-07       Impact factor: 43.841

3.  Localized and extended deformations of elastic shells.

Authors:  Ashkan Vaziri; L Mahadevan
Journal:  Proc Natl Acad Sci U S A       Date:  2008-06-03       Impact factor: 11.205

4.  Dipoles in thin sheets.

Authors:  Jemal Guven; J A Hanna; Osman Kahraman; Martin Michael Müller
Journal:  Eur Phys J E Soft Matter       Date:  2013-09-26       Impact factor: 1.890

5.  Finite-time scaling in local bifurcations.

Authors:  Álvaro Corral; Josep Sardanyés; Lluís Alsedà
Journal:  Sci Rep       Date:  2018-08-06       Impact factor: 4.379

6.  Trans-heteroclinic bifurcation: a novel type of catastrophic shift.

Authors:  Josep Sardanyés; Regina Martínez; Carles Simó
Journal:  R Soc Open Sci       Date:  2018-01-24       Impact factor: 2.963

  6 in total

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