Failure in Composite Materials due to Volumetric Expansion of Freezing Moisture
Publication: Journal of Cold Regions Engineering
Volume 18, Issue 4
Abstract
A model is developed for predicting volumetric expansion induced cracking in orthotropic composite materials due to freezing of trapped moisture in a slender rectangular flaw region. Conformal transformation and the complex function method are used to obtain the stress distribution in the matrix at the interior boundary. The stress field in the rectangular inclusion is derived by solving for two important variables characterizing the expanded equilibrium boundary determined by the principle of minimum strain energy. The compressive stress acting on the long side of the rectangular inclusion acts as a crack driving force., The model is used to predict the occurrence of cracking due to volumetric expansion of ice in a specific composite, EXTREN, that has been observed in experiments. The model can be adapted to predict fatigue life of composites under freeze-thaw conditions.
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References
1.
Bonora, N., Costanzi, M., and Marchetti, M. (1993). “On closed form solution for the elastic stress field around holes in orthotropic composite plates under in-plane stress conditions.” Compos. Struct., 25, 139–156.
2.
Chern, S. M., and Tuttle, M. E. (2000). “On displacement fields in orthotropic laminates containing an elliptical hole.” ASME J. Appl. Mech., 67, 527–539.
3.
Dutta, P. K. (1988). “Structural fiber composite material for cold regions.” J. Cold Reg. Eng., 2(3), 124–134.
4.
Dutta, P.K. ( 2001). “The fracturing processes of freezing composites.” ISOPE Journal.
5.
Eshelby, J. D. (1957). “The determination of the elastic field of an ellipsoidal inclusion, and related problems.” Proc. R. Soc. London, A241, 376–396.
6.
Eshelby, J.D. ( 1961). “Elastic inclusion and inhomogeneities.” Progress in solid mechanics, Vol. 2, I. N. Sneddon and R. Hill, eds., North Holland, Amsterdam, The Netherlands, 89–140.
7.
Kaltakci, M. Y. (1996). “Stress concentrations and failure criteria in anisotropic plates with circular holes subjected to tension or compression.” Comput. Struct., 61, 67–78.
8.
Kanninen, M.F., and Popelar, C.H. ( 1985). Advanced fracture mechanics, Oxford University Press, New York.
9.
Lekhnitskii, S.G. ( 1968). Anisotropic plates, Gordon and Breach, New York.
10.
Lord, H. W., and Dutta, P. K. (1988). “On the design of polymeric composite structures for cold regions applications.” J. Reinf. Plast. Compos., 7, 435–458.
11.
Mura, T. ( 1987). Micromechanics of defects in solids, 2nd Ed., Martinus-Nijhoff, Dordrecht, The Netherlands.
12.
Mushkelishvili, N.I. ( 1953). Some basic problems of the mathematical theory of elasticity, Groningen, The Netherlands.
13.
Rowlands, R. E., Daniel, I. M., and Whiteside, J. B. (1973). “Stress and failure analysis of a glass-epoxy composite plate with a circular hole.” Exp. Mech., 13(1), 31–37.
14.
Roy, S., Nie, G. H., Karedla, R., and Dharani, L. (2002a). “Matrix cracking and delaminations in orthotropic laminates subjected to freeze-thaw: Model development.” Polym. Polym. Compos., 10(5), 327–339.
15.
Roy, S., Nie, G. H., Karedla, R., and Dharani, L. (2002b). “Stress intensity factor for an elliptic inclusion in orthotropic laminates subjected to freeze-thaw: Model verification.” Polym. Polym. Compos., 10(8), 571–587.
16.
Sampath, S. G., and Hulbert, L. E. (1975). “Analysis of multiholed orthotropic laminated plates by the boundary-point-squares methods.” ASME J. Pressure Vessel Technol., 75, 118–122.
17.
Savin, G.N. ( 1961). Stress concentration around holes, Pergamon, Tarrytown, N.Y.
Information & Authors
Information
Published In
Journal of Cold Regions Engineering
Volume 18 • Issue 4 • December 2004
Pages: 135 - 154
Copyright
Copyright © 2004 ASCE.
History
Published online: Nov 15, 2004
Published in print: Dec 2004
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