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Journal of Composite Materials
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0021998305051112v1
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Composites with Inclusions of Negative Bulk Modulus: Extreme Damping and Negative Poisson’s Ratio

Y. C. Wang

MST-8, MS G755, Los Alamos National Laboratory, Los Alamos, NM 87545, USA

R. S. Lakes

Department of Engineering Physics, Engineering Mechanics Program, Biomedical Engineering Department, Materials Science Program and Rheology Research Center, University of Wisconsin-Madison, 147 Engineering Research Building, 1500 Engineering Drive, Madison, WI 53706-1609, USA, lakes{at}engr.wisc.edu

The effect of a negative bulk modulus phase in elastic composites is studied. Negative bulk modulus K<0 is shown to be possible in selected unit cells. In isotropic solids, K<0 can be attained when negative Poisson’s ratio is sufficiently small, below the stability limit (for stress control) 1/4 1. Such materials, if used as inclusions, are predicted to be stable with respect to the band formation, even if they are large. Composites with spherical inclusions of negative bulk moduli are shown to exhibit negative Poisson’s ratio and anomalies in composite bulk modulus and Young’s modulus (and in the corresponding mechanical damping) but not in the shear modulus.

Key Words: stability • viscoelasticity • negative Poisson’s ratio • negative modulus

This version was published on September 1, 2005

Journal of Composite Materials, Vol. 39, No. 18, 1645-1657 (2005)
DOI: 10.1177/0021998305051112
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