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Elastic Constants of Composite Materials by an Inverse Determination Method Based on A Hybrid Genetic Algorithm

Published online by Cambridge University Press:  05 May 2011

S.-F. Hwang ,
J.-C. Wu ,
Evgeny Barkanovs  and
Rimantas Belevicius
S.-F. Hwang*
Affiliation:
Department of Mechanical Engineering, National Yunlin University of Science and Technology, Douliu, Taiwan 64002, R.O.C.
J.-C. Wu*
Affiliation:
Department of Mechanical Engineering, National Yunlin University of Science and Technology, Douliu, Taiwan 64002, R.O.C.
Evgeny Barkanovs*
Affiliation:
Institute of Materials and Structures, Riga Technical University, Kalku St. 1, LV-1658, Riga, Latvia
Rimantas Belevicius*
Affiliation:
Department of Engineering Mechanics, Vilnius Gediminas Technical University, Saulėtekio al. 11, Vilnius 2040, Lithuania
*
*Professor, corresponding author
**Graduate student
***Professo
***Professo
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Abstract

A numerical method combining finite element analysis and a hybrid genetic algorithm is proposed to inversely determine the elastic constants from the vibration testing data. As verified from composite material specimens, the repeatability and accuracy of the proposed inverse determination method are confirmed, and it also proves that the concept of effective elastic constants is workable. Moreover, three different sets of assumptions to reduce the five independent elastic constants to four do not make clear difference on the obtained results by the proposed method. In addition, to obtain robust values of the five elastic constants for a transversely isotropic material, it is recommended to use the out-of-plane Poisson's ratio instead of the out-of-plane shear modulus as the fifth one.

Keywords

Elastic constantComposite materialVibration testHybrid genetic algorithmFinite element analysis.
Type
Articles
Information
Journal of Mechanics , Volume 26 , Issue 3 , September 2010 , pp. 345 - 353
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2010

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References

1.Carlsson, L. A. and Pipes, R. B., Experimental Characterization of Advanced Composite Materials, Prentice-Hall, New York (1987).Google Scholar
2.Deobald, L. R. and Gibson, R. F., “Determination of Elastic Constants of Orthotropic Plates by a Modal Analysis/Rayleigh-Ritz Technique,” Journal of Sound and Vibration, 124, pp. 269–283 (1988).CrossRefGoogle Scholar
3.Ayorinde, E. O. and Gibson, R. F., “Elastic Constants of Orthotropic Composite Materials Using Plate Resonance Frequencies, Classical Lamination Theory and an Optimized Three-mode Rayleigh Formulation,” Composite Engineering, 3, pp. 395–407 (1993).CrossRefGoogle Scholar
4.Mclntyre, M. E. and Woodhouse, J., “On Measuring the Elastic and Damping Constants of Orthotropic Sheet Materials,” Acta Metallurgica, 36, pp. 1397–1416 (1988).CrossRefGoogle Scholar
5.De Visscher, J., Sol, H., De Wilde, W. P. and Vantomme, J., “Identification of the Damping Properties of Orthotropic Composite Materials Using a Mixed Numerical Experimental Method,” Applied Composite Materials, 4,pp. 13–33(1997).CrossRefGoogle Scholar
6.Frederiksen, P. S., “Single-layer Plate Theories Applied to the Flexural Vibration of Completely Free Thick Laminates,” Journal of Sound and Vibration, 186, pp. 743–759(1999).CrossRefGoogle Scholar
7.Ayorinde, E. O., “Elastic Constants of Thick Orthotropic Composite Plates,” Journal of Composite Materials, 29, pp. 1025–1039 (1995).CrossRefGoogle Scholar
8.Frederiksen, P. S., “Experimental Procedure and Results for the Identification of Elastic Constants of Thick Orthotropic Plates,” Journal of Composite Materials, 31, pp. 360–382 (1997).CrossRefGoogle Scholar
9.Daghia, F., De Miranda, S., Ubertini, F. and Viola, E., “Estimation of Elastic Constants of Thick Laminated Plates within a Bayesian Framework,” Composite Structures, 80, pp. 461–473 (2007).CrossRefGoogle Scholar
10.Hwang, S. F. and Chang, C. S., “Determination of Elastic Constants of Materials by Vibration Testing,” Composite Structures, 49, pp. 183–190 (2000).CrossRefGoogle Scholar
11.Ma, C. C. and Lin, C. C., “Inverse Evaluation of Material Constants for Composite Plates by Optical Interferometry Method,” American Institute of Aeronautics and Astronautics Journal, 37, pp. 947–953 (1999).CrossRefGoogle Scholar
12.Rikards, R., Chate, A., Steinchen, W., Kessler, A. and Bledzki, A. K., “Method for Identification of Elastic Properties of Laminates Based on Experiment Design,” Composites Part B, 30, pp. 279–289 (1999).CrossRefGoogle Scholar
13.Barkanov, E., Chate, A., Ručevskis, S. and Skukis, E., “Characterisation of Composite Material Properties by an Inverse Technique,” Key Engineering Materials, 345–346, pp. 1319–1322(2007).CrossRefGoogle Scholar
14.Cunha, J., Cogan, S. and Berthod, C., “Application of Genetic Algorithms for the Identification of Elastic Constants of Composite Materials from Dynamic Tests,” International Journal of Numerical Methods in Engineering, 45, pp. 891–900 (1999).3.0.CO;2-1>CrossRefGoogle Scholar
15.Lee, C. R. and Kam, T. Y., “Identification of Mechanical Properties of Elastically Restrained Laminated Composite Plates Using Vibration Data,” Journal of Sound and Vibration, 295, pp. 999–1016 (2006).CrossRefGoogle Scholar
16.Caillet, J., Carmona, J. C. and Mazzoni, D., “Estimation of Plate Elastic Moduli through Vibration Testing,” Applied Acoustics, 68, pp. 334–349 (2007).CrossRefGoogle Scholar
17.Hwang, S. F. and He, R. S., “A Hybrid Real-parameter Genetic Algorithm for Function Optimization,” Advanced Engineering Informatics, 20, pp. 7–21 (2006).CrossRefGoogle Scholar
18.Edwins, D. J., Modal Testing: Theory and Practice, Research Studies Press (1986).Google Scholar
19.Bledzki, A. K., Kessler, A., Rikards, R. and Chate, A., “Determination of Elastic Constants of Glass/Epoxy Unidirectional Laminates by the Vibration Testing of Plates,” Composites Science and Technology, 59, pp. 2015–2024(1999).CrossRefGoogle Scholar
20.Whitcomb, J. and Tang, X., “Effective Moduli of Woven Composites,” Journal of Composite Materials, 35, pp.2127–2144 (2001).CrossRefGoogle Scholar
21.Araujo, A. L., Mota Soares, C. M., Moreira de Freitas, M. J., Pedersen, P. and Herskovits, J., “Combined Numerical-experimental Model for the Identification of Mechanical Properties of Laminated Structures,” Composite Structures, 50, pp. 363–372 (2000).CrossRefGoogle Scholar
22.Araujo, A. L., “Metodo Numeric/Experimental para Carazterizacao Mecanica de Materiais Xompositos,” (in Portuguese), M.S. Theses, Technical University of Lisbon (1995).Google Scholar
23.Sol, H., “Identification of Anisotropic Plate Rigidities Using Free Vibration Data,” Ph.D. Thesis, Free University of Brussels (1986).Google Scholar
24.Frederiksen, P. S., “Identification of Material Parameters in Anisotropic Plates-a Combined Numericalexperimental Method,” Ph.D. Thesis, the Technical Univesity of Denmark (1992).Google Scholar