Frequency dependent thermal expansion in binary viscoelasticcomposites

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The effective thermal expansion coefficient beta* of abinary viscoelastic composite is shown to be frequency dependent even ifthe thermal expansion coefficients beta A and beta B of both constituentsare themselves frequency independent. Exact calculations for binaryviscoelastic systems show that beta* is related to constituent valuesbeta A, beta B, volume fractions, and bulk moduli KA, KB, as well as tothe overall bulk modulus K* of the composite system. Then, beta* isdetermined for isotropic systems by first bounding (or measuring) K* andtherefore beta*. For anisotropic systems with hexagonal symmetry, theprincipal values of the thermal expansion beta*perp and beta*para can bedetermined exactly when ... continued below

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Berryman, James G. December 1, 2007.

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The effective thermal expansion coefficient beta* of abinary viscoelastic composite is shown to be frequency dependent even ifthe thermal expansion coefficients beta A and beta B of both constituentsare themselves frequency independent. Exact calculations for binaryviscoelastic systems show that beta* is related to constituent valuesbeta A, beta B, volume fractions, and bulk moduli KA, KB, as well as tothe overall bulk modulus K* of the composite system. Then, beta* isdetermined for isotropic systems by first bounding (or measuring) K* andtherefore beta*. For anisotropic systems with hexagonal symmetry, theprincipal values of the thermal expansion beta*perp and beta*para can bedetermined exactly when the constituents form a layered system. In allthe examples studied, it is shown explicitly that the eigenvectors of thethermoviscoelastic system possess non-negative dissipation -- despite thecomplicated analytical behavior of the frequency dependent thermalexpansivities themselves. Methods presented have a variety ofapplications from fluid-fluid mixtures to fluid-solid suspensions, andfrom fluid-saturated porous media to viscoelastic solid-solidcomposites.

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  • Journal Name: Mechanics of Materials; Journal Volume: 0; Journal Issue: 0; Related Information: Journal Publication Date: 0

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  • Report No.: LBNL--63655
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 932704
  • Archival Resource Key: ark:/67531/metadc901856

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  • December 1, 2007

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  • Sept. 27, 2016, 1:39 a.m.

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  • Oct. 31, 2016, 3:50 p.m.

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Berryman, James G. Frequency dependent thermal expansion in binary viscoelasticcomposites, article, December 1, 2007; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc901856/: accessed November 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.