Elastic Constants Identification of Shear Deformable Laminated Composite Plates
Publication: Journal of Engineering Mechanics
Volume 127, Issue 11
Abstract
A constrained minimization method is presented for the identification of elastic constants of shear deformable laminated composite plates. Strains and/or displacements obtained from static testing of laminated composite plates are used in the proposed method to identify the elastic constants of the plates. In the identification process, the trial elastic constants of a laminated composite plate are used in a finite-element analysis to predict the strains and displacements of the plate. An error function is established to measure the differences between the experimental and theoretical predictions of strains and/or displacements. A constrained minimization technique is used to minimize the error function and update the trial elastic constants. The best estimates of the elastic constants of the plate are then determined by subsequently reducing the size of the feasible region of the elastic constants and making the error function a global minimum. The accuracy and applications of the proposed method are demonstrated by means of a number of examples. A sensitivity analysis is also performed to study the effects of variations of experimental data on the accuracy of the identified elastic constants.
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References
1.
ASTM. ( 1990). “Standards and literature references for composite materials.” 2nd Ed., West Conshohocken, Pa.
2.
Bar-Cohen, Y. ( 1986). “NDE of fiber reinforced composites—A review.” Mat. Evaluation, 44(4), 446–454.
3.
Benjamin, J. R., and Cornell, C. A. ( 1970). Probability, statistics, and decision for civil engineers, McGraw-Hill, New York.
4.
Berman, A., and Nagy, E. J. ( 1993). “Improvement of a large analytical model using test data.” AIAA J., 21(8), 1168–1173.
5.
Ip, K. H., Tse, P. C., and Lai, T. C. ( 1998). “Material characterization for orthotropic shells using modal analysis and Rayleigh-Ritz models.” Comp., 29B(4–6), 397–409.
6.
Kam, T. Y., and Chang, R. R. ( 1993). “Finite element analysis of shear deformable laminated composite plates.” J. Energy Resour. and Technol., 115(3), 41–46.
7.
Kam, T. Y., and Lai, F. M. ( 1999). “Experimental and theoretical predictions of first-ply failure strength of laminated composite plates.” J. Solids and Struct., 36(16), 2379–2395.
8.
Kam, T. Y., and Lee, T. Y. ( 1992). “Detection of cracks from modal test data.” Int. J. Engrg. Fracture Mech., 42(2), 381–387.
9.
Kam, T. Y., and Lee, T. Y. ( 1994). “Identification of crack size via an energy approach.” J. Nondestructive Evaluation, 13(1), 1–11.
10.
Kam, T. Y., and Liu, C. K. ( 1998). “Stiffness identification of laminated composite shafts.” Int. J. Mechanical Sciences, 40(9), 927–936.
11.
Kam, T. Y., Sher, H. F., Chao, T. N., and Chang, R. R. ( 1996). “Predictions of deflection and first-ply failure load of thin laminated composite plates via the finite element approach.” J. Solids and Struct., 33(3), 375–398.
12.
Lubin, G. ( 1982). Handbook of composites, Van Nostrand Reinhold, New York.
13.
Mota Soares, C. M., Moreira de Freitas, M., Araujo, A. L., and Pederson, P. ( 1993). “Identification of material properties of composite plate specimens.” Comp. and Struct., 25(1–4), 277–285.
14.
Ochoa, O. O., and Reddy, J. N. ( 1992). Finite element analysis of composite laminates, Kluwer, Dordrecht, The Netherlands.
15.
Rikards, R., Chate, A., Steinchen, W., Kessler, A., and Bledzki, A. K. ( 1999). “Method for identification of elastic properties of laminates based on experiment design.” Comp., 30B(3), 279–289.
16.
Schwartz, M. M. ( 1983). Composite materials handbook, McGraw-Hill, New York.
17.
Snyman, J. A., and Fatti, L. P. ( 1987). “A multi-start global minimization algorithm with dynamic search trajectories.” J. Optim. Theory and Appl., 54(1), 121–141.
18.
Vanderplaats, G. N. ( 1984). Numerical optimization techniques for engineering design: With applications, McGraw-Hill, New York.
19.
Whitney, J. M. ( 1973). “Shear correction factors for orthotropic laminates under static load.” J. Appl. Mech., 40(1), 302–304.
20.
Wilde, W. P., and Sol, H. ( 1987). “Anisotropic material identification using measured resonant frequencies of rectangular composite plates.” Comp. and Struct., 4(2), 2317–2324.
Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 127 • Issue 11 • November 2001
Pages: 1117 - 1123
History
Received: May 22, 2000
Published online: Nov 1, 2001
Published in print: Nov 2001
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