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Experimental and Analytical Determination of Elastic Moduli in Anisotropic Physical Models: Comparison with Equivalent Media Theories

By
Julie A. Hood
Julie A. Hood
Rosenstiel School of Marine and Atmospheric Science Universityof Miami, Miami, FL 33149-1098
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R. B. Mignogna
R. B. Mignogna
Mechanics of Materials Branch-Code 6380 Naval Research Laboratory, Washington, DC 20375-5000
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N. K. Batra
N. K. Batra
Mechanics of Materials Branch-Code 6380 Naval Research Laboratory, Washington, DC 20375-5000
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K. E. Simmonds
K. E. Simmonds
Mechanics of Materials Branch-Code 6380 Naval Research Laboratory, Washington, DC 20375-5000
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H. H. Chaskelis
H. H. Chaskelis
Mechanics of Materials Branch-Code 6380 Naval Research Laboratory, Washington, DC 20375-5000
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Published:
January 01, 1996

Abstract

An inversion method ispresented which provides a means to solve for the elastic moduliof anisotropic materials with symmetry as complicated as triclinic. Anisotropic elastic moduli were determinedfora layered glass plate—epoxy composite from oblique angle time—of—flight measurements using an immersion system. Both the glass and the epoxy behaveas isotropic materials in bulk form. However, once assembled to produce a heterogeneous structure(composite material) and probed with sufficiently long wavelengths, the heterogeneous stack appeared homogeneous but with anisotropic properties. With the measured properties of the constitutive bulk glass and epoxy and knowledge of their ratio in the layered stack,forward calculations are made to predict equivalent elastic moduli of the composite. Of theequivalent media theories available, a thickness—weighted averaging model as well as a theory which models the thin compliant epoxy bonds as a set of fractures are considered. Anisotropic elastic moduli predicted using these two theories are then compared to the measured elastic moduli of the glass—epoxy stack. The results show that epoxy does not behavethe same in an adhesive bond as it does in bulk. We therefore can not recommend using epoxy in the construction of physical models. However, in spite of the indeterminate behavior of epoxy, the equivalent media theories of Backus and of Schoenberg worked fairly well.

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Seismic Anisotropy

Erling Fjær
Erling Fjær
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Rune M. Holt
Rune M. Holt
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Jaswant S. Rathore
Jaswant S. Rathore
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Society of Exploration Geophysicists
ISBN electronic:
9781560802693
Publication date:
January 01, 1996

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