Comparative Study of Nonlinear Damage Accumulation Models in Stochastic Fatigue of FRP Laminates
Publication: Journal of Structural Engineering
Volume 127, Issue 3
Abstract
The objective of this investigation is to verify the applicability of a number of nonlinear damage accumulation theories in the context of composite FRP laminates subjected to simulated stochastic loadings. Although nonlinear damage accumulation methods for composite materials have been investigated for a few decades, most comparisons with experimental results have considered only two-stress-level loadings; none has considered stochastic loadings. The nonlinear damage models considered in this study are primarily those obtained as a result of the strength-deterioration and stiffness-deterioration approaches. The fatigue data used in this investigation are generated from laminated specimens made of cross-ply E-glass woven-roving fibers and vinyl ester resin. Constant-amplitude tests are conducted to obtain the material's S-N curve. Variable-amplitude fatigue tests are carried out using simulated narrowband stochastic stress histories with various root-mean-square stresses. In addition to the experimental results, the predictions based on the nonlinear damage accumulation techniques are compared with those based on the linear (Palmgren-Miner) damage accumulation rule. It is found that, for the cases investigated in this study, the nonlinear damage models most often yield fatigue life predictions that are generally comparable to those predicted by the linear model; predictions in most cases are conservative.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bishop, N. W. M., and Sherratt, F. ( 1990). “Theoretical solution for the estimation of rainflow ranges from power spectral density data.” Fatigue and Fracture of Engrg. Mat. and Struct., 13(4), 311–326.
2.
Broutman, J., and Sahu, S. ( 1972). “A new theory to predict cumulative fatigue damage in fiberglass reinforced plastics.” Composite materials: Testing and design, ASTM STP 497, ASTM, West Conshohocken, Pa., 170–188.
3.
Hahn, H. T., and Kim, R. Y. ( 1976). “Fatigue behavior of composite laminate.” J. Compos. Mat., 10, 156–180.
4.
Halpin, J. C., Jerina, K. L., and Johnson, T. A. ( 1973). “Characteristics of composites for the purpose of reliability prediction.” Analysis of test methods for high modulus fibers and composites, ASTM STP 521, ASTM, West Conshohocken, Pa., 5–64.
5.
Hashin, Z. ( 1985). “Cumulative damage theory for composite materials: Residual life and residual strength method.” Compos. Sci. and Technol., 23, 1–19.
6.
Hashin, Z., and Rotem, A. ( 1978). “A cumulative damage theory of fatigue failure.” Mat. Sci. Engrg., 34, 147–160.
7.
Hwang, W., and Han, K. S. ( 1986). “Fatigue of composites-fatigue modulus concept and life prediction.” J. Compos. Mat., 20, 154–165.
8.
Hwang, W., Lee, C. S., Park, H. C., and Han, K. C. ( 1995). “Single and multi-stress level fatigue life prediction of glass/epoxy composites.” J. Advanced Mat., 20, 3–9.
9.
Lutes, L. D., and Larsen, C. E. (1990). “Improved spectral method for variable amplitude fatigue prediction.”J. Struct. Engrg., ASCE, 116(4), 1149–1164.
10.
Lutes, L. D., and Sarkani, S. ( 1997). Stochastic analysis of structural and mechanical vibrations, Prentice-Hall, Englewood Cliffs, N.J.
11.
Miles, J. W. ( 1954). “On structural fatigue under random loading.” J. Aeronautical Soc., 21, 753–762.
12.
Miner, M. A. ( 1945). “Cumulative damage in fatigue.” J. Appl. Mech., 12(3), 159–164.
13.
Palmgren, A. ( 1924). “Die Lebensdaner Von Kugellagren.” Zeitschrift des Vereines Deutscher Ingenieure, 58, 339–341 (in German).
14.
Pickney, R. L. ( 1973). “Helicopter rotor blades.” Applications of composite materials, ASTM STP 524, ASTM, West Conshohocken, Pa., 108–133.
15.
Read, R. J. C. L., and Shenoi, R. A. ( 1995). “A review of fatigue damage modeling in the context of marine FRP laminates.” Marine Struct., 8, 257–278.
16.
Reifsnider, K. L. ( 1991). Fatigue in composite materials, Elsevier Science, Amsterdam.
17.
Sarkani, S. (1990). “Feasibility of auto-regressive simulation model for fatigue studies.”J. Struct. Engrg., ASCE, 116(9), 2481–2495.
18.
Sarkani, S., Kihl, D. P., and Beach, J. E. (1992). “Fatigue of welded cruciforms subjected to narrow-band loadings.”J. Engrg. Mech., ASCE, 118(2), 296–311.
19.
Sarkani, S., Michaelov, G., Kihl, D. P., and Beach, J. E. (1999). “Stochastic fatigue damage accumulation of FRP laminates and joints.”J. Struct. Engrg., ASCE, 125(12), 1423–1431.
20.
Schaff, J. R., and Davidson, B. D. ( 1997a). “Life prediction methodology for composite structures; Part I—Constant amplitude and two-stress level fatigue.” J. Compos. Mat.,, 31, 128–157.
21.
Schaff, J. R., and Davidson, B. D. ( 1997b). “Life prediction methodology for composite structures; Part II—Spectrum fatigue.” J. Compos. Mat., 31, 158–181.
22.
Talreya, R. ( 1987). Fatigue of composite materials, Technologic Publishing Co., Pa.
23.
Yang, J. N., and Du, S. ( 1983). “An exploratory study into the fatigue of composites under spectrum loading.” J. Compos. Mat., 17, 511–526.
24.
Yang, J. N., and Johnson, L. J. ( 1983). “Load sequence effects on graphite/epoxy laminates.” Long-term behavior of composites, ASTM STP 813, 246–262.
25.
Yang, J. N., Jones, D. L., Yang, S. H., and Meskini, A. ( 1990). “A stiffness degradation model for graphite epoxy laminates.” J. Compos. Mat., 24, 753–769.
26.
Yang, J. N., and Liu, M. D. ( 1977). “Residual strength degradation model and theory of periodic proof tests for graphite/epoxy laminates.” J. Compos. Mat., 11, 176–203.
27.
Yang, J. N., Yang, S. H., and Jones, D. L. ( 1989). “A stiffness-based statistical model for predicting the fatigue life of graphite/epoxy laminates.” J. Comp. Technol. Res., 11, 129–134.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 127 • Issue 3 • March 2001
Pages: 314 - 322
History
Received: Dec 20, 1999
Published online: Mar 1, 2001
Published in print: Mar 2001
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.