Localized Structures in Indented Shells: A Numerical Investigation
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Reis_Localized structures.pdf
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3.25 MB
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Adobe PDF
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Author(s)
Nasto, Alice Meite
Reis, Pedro Miguel
Date Issued
October 2014
Journal
Journal of Applied Mechanics
Publisher
ASME International
Citation
Nasto, Alice and Reis, Pedro M. “Localized Structures in Indented Shells: A Numerical Investigation.” Journal of Applied Mechanics 81, 12 (October 30, 2014): 121008 © 2014 ASME International
Version
Final published version
Abstract
We present results from a numerical investigation of the localization of deformation in thin elastomeric spherical shells loaded by differently shaped indenters. Beyond a critical indentation, the deformation of the shell ceases to be axisymmetric and sharp structures of localized curvature form, referred to as “s-cones,” for “shell-cones.” We perform a series of numerical experiments to systematically explore the parameter space. We find that the localization process is independent of the radius of the shell. The ratio of the radius of the shell to its thickness, however, is an important parameter in the localization process. Throughout, we find that the maximum principal strains remain below 6%, even at the s-cones. As a result, using either a linear elastic (LE) or hyperelastic constitutive description yields nearly indistinguishable results. Friction between the indenter and the shell is also shown to play an important role in localization. Tuning this frictional contact can suppress localization and increase the load-bearing capacity of the shell under indentation.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1115/1.4028804
