Abstract
The static and fatigue behaviors of composite laminates depend on the applied loading and the resulting stress state. Simple and fast uniaxial experiments can characterize the material under such loading. However, the situation is much more complicated when complex stress states develop in the material. The setting up and realization of multiaxial experimental programs are complicated and the results not very reliable. Therefore, it is necessary to establish methods that can simulate the multiaxial fatigue behavior of composite laminates and estimate their fatigue life under complex stress states. This chapter focuses on the presentation of available macroscopic fatigue failure theories that take into account the synergistic effect of all stress tensor components on the strength and fatigue life of the examined material. A comparison of the predictive ability of the examined fatigue theories is also presented based on data from Chap. 2, and other data found in the literature.
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References
Draft IEC 61400–1, Ed.2 (88/98/FDIS): ‘Wind turbine generator systems–Part 1: Safety requirements’, 1998
Germanischer Lloyd, ‘Rules and regulations, IV–Non–marine technology’, PART 1–WIND ENERGY, 1993
T.P. Philippidis, A.P. Vassilopoulos, Life prediction methodology for GFRP laminates under spectrum loading. Compos. Part A–Appl. Sci. 35(6), 657–666 (2004)
J.A. Collins, Failure of materials in mechanical design-analysis, prediction prevention. (Wiley, New York, 1993)
R.F. Gibson, Principles of Composite Material Mechanics (McGraw-Hill Inc., New York, 1994)
O. Hoffman, The brittle strength of orthotropic materials. J. Compos. Mater. 1(2), 200–206 (1967)
S.W. Tsai, E.M. Wu, A general theory of strength for anisotropic materials. J. Compos. Mater. 5(1), 58–80 (1971)
Z. Hashin, A. Rotem, A fatigue failure criterion for fibre-reinforced materials. J. Compos. Mater. 7, 448–464 (1973)
A. Rotem, Fatigue failure of multidirectional laminate. AIAA J. 17(3), 271–277 (1979)
M.J. Owen, J.R. Griffiths, Evaluation of biaxial failure surfaces for a glass fabric reinforced polyester resin under static and fatigue loading. J. Mater. Sci. 13(7), 1521–1537 (1978)
T. Fujii, F. Lin, Fatigue behavior of a plain-woven glass fabric laminate under tension/torsion biaxial loading. J. Compos. Mater. 29(5), 573–590 (1995)
D.F. Sims,V.H. Brogdon, in Fatigue Behavior of Composites under Different Loading Modes, eds. by K.L. Reifsnider, K.N. Lauraitis. Fatigue of filamentary materials, (ASTM STP 636, 1977), pp. 185–205
M.-H.R. Jen, C.-H. Lee, Strength and life in thermoplastic composite laminates under static and fatigue loads. Part I: experimental. Int. J. Fatigue 20(9), 605–615 (1998)
M.-H.R. Jen, C.-H. Lee, Strength and life in thermoplastic composite laminates under static and fatigue loads. Part II: Formulation. Int. J. Fatigue 20(9), 617–629 (1998)
S.W. Tsai, H.T. Hahn, Introduction to Composite Materials (Technomic, Lancaster, 1980)
T.P. Philippidis, A.P. Vassilopoulos, Fatigue strength prediction under multiaxial stress. J. Compos. Mater. 33(17), 1578–1599 (1999)
T.P. Philippidis, A.P. Vassilopoulos, Complex stress state effect on fatigue life of GRP laminates. Part II, Theoretical formulation. Int. J. Fatigue 24(8), 825–830 (2002)
M. Kawai, A phenomenological model for off-axis fatigue behavior of unidirectional polymer matrix composites under different stress ratios. Compos. Part A-Appl. S 35(7–8), 955–963 (2004)
Z. Fawaz, F. Ellyin, Fatigue failure model for fibre-reinforced materials under general loading conditions. J. Compos. Mater. 28(15), 1432–1451 (1994)
M. Quaresimin, L. Susmel, R. Talerja, Fatigue behaviour and life assessment of composite laminates under multiaxial loadings. Int. J. Fatigue 32(1), 2–16 (2009)
H. El Kadi, F. Ellyin, Effect of stress ratio on the fatigue failure of fiberglass reinforced epoxy laminae. Composites 25(10), 917–924 (1994)
M.M. Shokrieh, F. Taheri-Behrooz, A unified fatigue life model for composite materials. Compos. Struct. 75(1–4), 444–450 (2006)
R.S. Sandhu, R.L. Gallo, G.P. Sendeckyj, in Initiation and Accumulation of Damage in Composite Laminates, ed. by I.M. Daniel (ASTM STP 787, 1982), pp. 163–182
J. Awerbuch, H.T. Hahn, in Fatigue of Fibrous Composite Materials. ed. by K.N. Lauraitis. Off-axis fatigue of graphite/epoxy composites, (ASTM STP 723, 1981), pp. 243–273
S. Lee, M. Munro, Evaluation of in-plane shear test methods for advanced composite materials by the decision analysis technique. Composites 17(1), 13–22 (1986)
S.W. Fowser, R.B. Pipes, D.W. Wilson, On the determination of laminate and lamina shear response by tension tests. Compos. Sci. Technol. 26, 31–36 (1986)
A. Smits, D. Van Hemelrijck, T.P. Philippidis, A. Cardon, Design of a cruciform specimen for biaxial testing of fibre reinforced composite laminates. Compos. Sci. Technol. 66(7–8), 964–975 (2006)
M.J. Hinton, A.S. Kaddour, P.D. Soden, Failure Criteria in Fibre Reinforced Polymer Composites: The World-Wide Failure Exercise, a Composite Science and Technology Compendium (Elsevier, Amsterdam, 2004)
T.P. Philippidis, P.S. Theocaris, Failure prediction of fibre reinforced laminates under hygrothermal and mechanical in-plane loads. Adv. Pol. Tech. 12(3), 271–279 (1993)
A.P. Vassilopoulos, R. Sarfaraz, B.D. Manshadi, T. Keller, A computational tool for the life prediction of GFRP laminates under irregular complex stress states: Influence of the fatigue failure criterion. Comp. Mat. Sci. 49(3), 483–491 (2010). 10.1016/j.commatsci.2010.05.039
R.P.L. Nijssen, O. Krause, T.P. Philippidis, Benchmark of lifetime prediction methodologies. Optimat Blades technical report, 2004, OB_TG1_R012 rev.001, http://www.wmc.eu/public_docs/10218_001.pdf
S.D. Downing, D.F. Socie, Simple rainflow algorithms. Int. J. Fatigue 4(1), 31–40 (1982)
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Vassilopoulos, A.P., Keller, T. (2011). Macroscopic Fatigue Failure Theories for Multiaxial Stress States. In: Fatigue of Fiber-reinforced Composites. Engineering Materials and Processes. Springer, London. https://doi.org/10.1007/978-1-84996-181-3_6
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DOI: https://doi.org/10.1007/978-1-84996-181-3_6
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