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RESEARCH PAPERS

On Identification of Material Models When Nonrepeatability of Test Data is Present: Application to Textile Composites

[+] Author and Article Information
Abbas S. Milani, James A. Nemes

Department of Mechanical Engineering, McGill University, Sherbrooke Street West, Montreal, Quebec, H3A 2K6, Canada

J. Eng. Mater. Technol 126(4), 443-449 (Nov 09, 2004) (7 pages) doi:10.1115/1.1789963 History: Received September 05, 2003; Revised February 27, 2004; Online November 09, 2004
Copyright © 2004 by ASME
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References

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Peng,  X. Q., and Cao,  J., 2002, “A Dual Homogenization and Finite Element Approach for Material Characterization of Textile Composites,” Composites, Part B, 33, pp. 45–56.
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Pedhazur, E. J., 1997, Multiple Regression in Behavioral Research: Explanation and Prediction, Harcourt Brace Jovanovitch, San Diego, Chap. 8.
Haupt, P., 2000, Continuum Mechanics and Theory of Materials, Springer-Verlag, New York, Chap. 9.
Vaishnav,  R. N., Young,  J. T., and Patel,  D. J., 1973, “Distribution of Stresses and of Strain-Energy Density Through the Wall Thickness in a Canine Aortic Segment,” Circ. Res., 32, pp. 577–583.
Holzapfel,  G. A., Gasser,  T. C., and Stadler,  M., 2000, “A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models,” Elasticity, 61, pp. 1–48.
Wang,  J., Page,  J. R., and Paton,  R., 1998, “Experimental Investigation of the Draping Properties of Reinforced Fabrics,” Compos. Sci. Technol., 58, pp. 229–237.
Gasser,  A., Boisse,  P., and Hanklar,  S., 2000, “Mechanical Behavior of Dry Fabric Reinforcements, 3D Simulations Versus Biaxial Tests,” Comput. Mater. Sci., 17, pp. 7–20.
Fung,  Y. C., Fronek,  K., and Patitucci,  P., 1979, “Pseudoelasticity of Arteries and the Choice of its Mathematical Expression,” Am. J. Physiol., 237, pp. H620–H631.
Holzapfel,  G. A., and Gasser,  T. C., 2001, “A Viscoelastic Model for Fiber-Reinforced Composites at Finite Strains: Continuum Basis, Computational Aspects and Applications,” Comput. Methods Appl. Mech. Eng., 190, pp. 4379–4430.

Figures

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Three replicates of uniaxial extension test in both weft and warp directions
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Variation of noise with signal in measured data
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Mean response and signal-to-noise ratio calculated from measured test data
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Prediction of material model vs. averaged experimental data in (a) original space, and (b) transformed space
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Convexity of strain energy function in 2D extensional deformation
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Heteroscedasticity in presence of nonrepeatable test data
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Ideal relationship between standard deviation and mean response for the nominal-the-best (NTB) quality characteristic

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