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A negative-stiffness phase in elastic composites can produce stable extreme effective dynamic but not static stiffness

Wojnar, Charles S. and Kochmann, Dennis M. (2013) A negative-stiffness phase in elastic composites can produce stable extreme effective dynamic but not static stiffness. Philosophical Magazine, 94 (6). pp. 532-555. ISSN 1478-6435 . http://resolver.caltech.edu/CaltechAUTHORS:20131204-142341321

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Abstract

We investigate the effective elastic properties and overall stability of four specific two-phase elastic composite systems having a non-positive-definite phase (often referred to as a negative-stiffness phase) to determine whether or not the presence of the negative-stiffness phase can lead to stable extreme overall stiffness. We start with an instructive spring-mass model to illustrate the underlying physical mechanisms before proceeding to the two- and three-dimensional two-phase solids of coated cylindrical and coated spherical inclusions, and we finally study a general particle-matrix composite. For all examples, we correlate effective stiffness with overall stability to demonstrate that the static effective stiffness measures can never reach extreme values due to the inclusion of a negative-stiffness phase in a stable manner, while dynamic loading indeed permits resonance-induced extreme effective stiffness.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1080/14786435.2013.857795DOIArticle
http://www.tandfonline.com/doi/abs/10.1080/14786435.2013.857795PublisherArticle
ORCID:
AuthorORCID
Kochmann, Dennis M.0000-0002-9112-6615
Additional Information:© 2013 Taylor & Francis. Received 5 August 2013; accepted 15 October 2013. Published online: 13 Nov 2013.
Group:GALCIT
Subject Keywords:elasticity, composite materials, effective properties, stability, negative stiffness
Record Number:CaltechAUTHORS:20131204-142341321
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20131204-142341321
Official Citation:A negative-stiffness phase in elastic composites can produce stable extreme effective dynamic but not static stiffness Charles S. Wojnar, Dennis M. Kochmann Philosophical Magazine Vol. 94, Iss. 6, 2014
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:42836
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:05 Dec 2013 00:35
Last Modified:14 Sep 2016 00:01

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