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Stable extreme damping in viscoelastic two-phase composites with non-positive-definite phases close to the loss of stability

Kochmann, Dennis M. (2014) Stable extreme damping in viscoelastic two-phase composites with non-positive-definite phases close to the loss of stability. Mechanics Research Communications, 58 . pp. 36-45. ISSN 0093-6413. https://resolver.caltech.edu/CaltechAUTHORS:20140724-153508138

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Abstract

By investigating the effective response of linear viscoelastic composites, we demonstrate that stiff systems can exhibit stable extreme increases in overall damping if one of the composite phases loses positive-definiteness of its elasticities. While non-positive-definite elastic moduli (often referred to as negative stiffness) are thermodynamically unstable in unconstrained homogeneous solids, the geometric constraints among constituents in a composite can provide sufficient stabilization. Allowing for negative-stiffness phases in principle expands the range of attainable composite properties and promises extremely high composite stiffness and damping (significantly beyond those of the composite base materials) if the composite is appropriately tuned. This, however, raises questions of stability. In particular, the resulting high damping in stiff composites so far has only been shown to be stable in simple structural and elementary spring-dashpot systems, and therefore has remained a key open question for general composite materials. Studying successively the examples of a spring-dashpot model, a two-phase solid, and a general particle–matrix composite, we demonstrate that a non-positive-definite phase may indeed result in stable extreme damping, which is in line with recent experimental findings.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/j.mechrescom.2013.09.003DOIArticle
http://www.sciencedirect.com/science/article/pii/S0093641313001389PublisherArticle
ORCID:
AuthorORCID
Kochmann, Dennis M.0000-0002-9112-6615
Additional Information:© 2013 Elsevier Ltd. Received 29 May 2013; Accepted 12 September 2013; Available online 21 September 2013.
Group:GALCIT
Subject Keywords:Viscoelasticity; Stability; Composite material; Negative stiffness
Record Number:CaltechAUTHORS:20140724-153508138
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20140724-153508138
Official Citation:Kochmann, D. M. (2014). Stable extreme damping in viscoelastic two-phase composites with non-positive-definite phases close to the loss of stability. Mechanics Research Communications, 58(0), 36-45. doi: http://dx.doi.org/10.1016/j.mechrescom.2013.09.003
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:47482
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:24 Jul 2014 22:59
Last Modified:03 Oct 2019 06:54

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