TECHNICAL PAPERS
Nov 1, 1995

Stochastic Damage Accumulation Model for Composite Laminates

Publication: Journal of Engineering Mechanics
Volume 121, Issue 11

Abstract

A stochastic model for the accumulation of fatigue damage in composite laminates subjected to fatigue loading is proposed. Damage accumulation is treated as an evolutionary stochastic process characterized by changes in the components of laminate compliance with the number of load cycles. Compliance changes are modeled as an embedded discrete time, finite state, nonstationary Markov process. Distributions for these changes are used in conjunction with laminated plate theory to derive distributions for the individual ply strains within a laminate. The ply-strain distributions are used to obtain a probabilistic description of the response of the laminate, as well as for input into an appropriate failure criterion to determine the evolutionary probability of failure of a laminate. The applicability of the model is illustrated through a numerical example.

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References

1.
Ang, A. H-S., and Tang, W. H. (1975). Probability concepts in engineering planning and design . Vol. 1. John Wiley & Sons, New York, N.Y., 170–218.
2.
Bogdanoff, J. L., and Kozin, F. (1985). Probabilistic models of cumulative damage . John Wiley & Sons, New York, N.Y.
3.
Bolotin, V. V. (1993). “Fatigue life prediction of structures.”Probabilistic structural mechanics: Advances in structural reliability methods, P. D. Spanos and Y.-T. Wu, eds., Springer-Verlag, New York, N.Y.
4.
Cederbaum, G., Librescu, L., and Elishakoff, I. (1989). “Response of laminated plates to non-stationary random excitation.”J. Struct. Safety, 6, Amsterdam, The Netherlands, 99–113.
5.
Chamis, C. C., and Shiao, M. C. (1993). “Probabilistic assessment of composite and smart composite structures.”Probabilistic structural mechanics: advances in structural reliability methods, P. D. Spanos, and Y.-T. Wu, eds., Springer-Verlag, New York, N.Y.
6.
Hahn, H. T., Erikson, J. B., and Tsai, S. W. (1983). “Characterization of matrix/interface controlled strength of unidirectional composites.”Fracture of Composite Materials, G. C. Sih and V. P. Tazmus, eds., M. Nijoff, The Hague, The Netherlands, 197–214.
7.
Isaacson, D. L., and Madsen, R. W. (1976). Markov chains: theory and applications . John Wiley & Sons, New York, N.Y.
8.
Jamison, R. D., Schulte, K., Reifsnider, K. L., and Stinchcomb, W. W. (1984). “Characterization and analysis of damage mechanisms in tension-tension fatigue of graphite/epoxy laminates.”Effects of defects in composite materials: ASTM STP 836, ASTM, Philadelphia, Pa., 21–55.
9.
Madsen, H. O., Krenk, S., and Lind, N. C. (1986). Methods of structural safety . Prentice-Hall, Englewood Cliffs, N.J., 35–38.
10.
Masters, J. E., and Reifsnider, K. L. (1982). “An investigation of cumulative damage development in quasi-isotropic graphite/epoxy laminates.”Damage in composite materials: ASTM STP 775, K. L. Reifsnider, ed., ASTM, Philadelphia, Pa., 40–62.
11.
O'Brien, T. K. (1982). “Characterization of delamination onset and growth in a composite laminate.”Damage in composite materials: ASTM STP 775, K. L. Reifsnider, ed., ASTM, Philadelphia, Pa., 373–383.
12.
O'Brien, T. K. (1985). “Analysis of local delaminations and their influence on composite laminate behavior.”Delamination and debonding of materials: ASTM STP 876, W. S. Johnson, ed., ASTM, Philadelphia, Pa., 282–297.
13.
Ochoa, O. O., and Reddy, J. N. (1992). Finite element analysis of composite laminates . Kluwer Academic Publishers, Dordrecht, The Netherlands, 111–130.
14.
Reifsnider, K. L., and Carman, G. (1992). “The micromechanics of damage evolution in composite material systems.”Damage mechanics in composites: AMD-Vol. 150/AD-Vol 32, D. H. Allen and D. C. Lagoudas, eds., ASME, New York, N.Y., 1–12.
15.
Reifsnider, K. L., and Stinchcomb, W. W. (1986). “A critical-element model of the residual strength and life of fatigue loaded composite coupons.”Composite materials: fatigue and fracture—ASTM STP 907, H. T. Hahn, ed., ASTM, Philadelphia, Pa., 298–313.
16.
Swanson, S. R. (1990). “Laminates, static strength.”International encyclopedia of composites, 3, S. M. Lee, ed., VCH Publishers, New York, N.Y., 36–43.
17.
Talreja, R. (1986). “Stiffness properties of composite laminates with matrix cracking and interior delamination.”Engrg. Fracture Mech. 25(5/6), Pergamon Press, Ltd., Oxford, Great Britain, 751–762.
18.
Tsai, S. W., and Hahn, H. T. (1980). Introduction to composite materials . Technomic PublishingCo., Inc., Lancaster, Pa., 115–166.
19.
Wang, A. S. D., Chou, P. C., and Lei, S. C. (1984). “A stochastic model for the growth of matrix cracks in composite laminates.”J. Composite Mat., 18(May), 239–254.
20.
Wang, A. S. D. (1987). “Strength, failure, and fatigue analysis of laminates.”Engineered materials handbook: Vol. 1—composites, ASM International, Metals Park, Oh., 236–251.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 121Issue 11November 1995
Pages: 1244 - 1251

History

Published online: Nov 1, 1995
Published in print: Nov 1995

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Authors

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P. D. Spanos, Fellow, ASCE
L. B. Ryon Chair in Engrg., Rice Univ., P.O. Box 1892, Houston, TX 77251.
J. D. Rowatt
Res. Asst., Dept. of Mech. Engrg., and Mat. Sci., Rice Univ., P.O. Box 1892, Houston, TX 77251.

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