Frequency dependent thermal expansion in binary viscoelasticcomposites Page: 1 of 43
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Submitted to : Mechanics of Materials
LBNL-, December 10, 2007
Frequency dependent thermal expansion in binary viscoelastic
James G. Berrymanl*
'University of California, Lawrence Berkeley National Laboratory,
1 Cyclotron Road, MS 90R1116, Berkeley, CA 94720, USA
The effective thermal expansion coefficient j3* of a binary viscoelastic composite is shown
to be frequency dependent even if the thermal expansion coefficients 3A and /3B of both
constituents are themselves frequency independent. Exact calculations for binary viscoelas-
tic systems show that j3* is related to constituent values 3A, /3B, volume fractions, and
bulk moduli KA, KB, as well as to the overall bulk modulus K* of the composite sys-
tem. Then, j3* is determined for isotropic systems by first bounding (or measuring) K*
and therefore j3*. For anisotropic systems with hexagonal symmetry, the principal values of
the thermal expansion 13* and Ij can be determined exactly when the constituents form a
layered system. In all the examples studied, it is shown explicitly that the eigenvectors of
the thermoviscoelastic system possess non-negative dissipation despite the complicated
analytical behavior of the frequency dependent thermal expansivities themselves. Methods
presented have a variety of applications from fluid-fluid mixtures to fluid-solid suspensions,
and from fluid-saturated porous media to viscoelastic solid-solid composites.
Keywords: composites, thermal expansion, viscoelasticity
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Berryman, James G. Frequency dependent thermal expansion in binary viscoelasticcomposites, article, December 1, 2007; Berkeley, California. (https://digital.library.unt.edu/ark:/67531/metadc901856/m1/1/: accessed April 23, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.