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

Author:

Milani Abbas S.1,Nemes James A.1

Affiliation:

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

Abstract

Engineering test data occasionally violate assumptions underlying standard material model identification. Consequently, one has to apply appropriate remedies with respect to each violation to enhance the reliability of identified material parameters. This paper generalizes the use of the signal-to-noise weighting scheme when heteroscedasticity of test data are suspected. Different mathematical and practical aspects of the approach are discussed. Additionally, the ensuing weighted identification process is simplified to an equivalent standard form by means of a space transformation. Finally, the approach is applied to the identification of a nonlinear material model for textile composites, on both qualitative and quantitative levels.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference16 articles.

1. Lemaitre, J., 2001, “Background on Modeling,” Handbook of Materials Behavior Models, J. Lemaitre (ed.) Wiley, New York, Vol. 1, pp. 3–14.

2. Milani, A. S., and Nemes, J. A., 2004, “An Intelligent Inverse Method for Characterization of Textile Composites Using a Hyperelastic Constitutive Model,” Compos. Sci. Technol. (in press).

3. Kahane, L. H., 2001, Regression Basics, Sage, London, Chaps. 2 and 6.

4. Daniel, C., and Wood, F. S., 1980, Fitting Equations to Data: Computer Analysis of Multifactor Data, Wiley, New York, Chap. 2.

5. Meyers, R. H., 1990, Classical and Modern Regression with Applications, Pws-Kent, Boston, Chaps. 2 and 9.

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