A general method for predicting temperature-dependent anisomorphic constant fatigue life diagram for a woven fabric carbon/epoxy laminate

Abstract The anisomorphic constant fatigue life (CFL) diagram approach to prediction of fatigue lives of composites, which was developed in an earlier study, is developed further into a more general methodology that can deal with the mean stress sensitivity in fatigue of composites at different temperatures. The temperature dependence of the anisomorphic CFL diagram for a given composite is characterized by the temperature dependence of the static strengths in tension and compression and of the reference S–N relationship for a critical stress ratio. The temperature dependence of the static strengths in tension and compression is first formulated to describe the temperature dependence of the critical stress ratio. To predict the reference S–N relationships at different temperatures, the change in the value of critical stress ratio with temperature as well as the effect of temperature on fatigue should be taken into account. To this end, a new and efficient engineering method is developed which is based on a grand master S–N curve built by means of a modified fatigue strength ratio and a life-temperature parameter of the Larson–Miller type. The generalized anisomorphic CFL diagram approach developed in this study succeeds in efficiently and adequately predicting the CFL diagrams for a woven fabric carbon/epoxy quasi-isotropic laminate at different temperatures and thus the mean stress dependence of the S–N relationships of the laminate at different temperatures.

[1]  G. P. Sendeckyj,et al.  Constant life diagrams : a historical review , 2001 .

[2]  F. Hauser,et al.  Deformation and Fracture Mechanics of Engineering Materials , 1976 .

[3]  J. P. Lucas,et al.  Hygrothermal effects of epoxy resin. Part II : Variations of glass transition temperature , 1999 .

[4]  T. Adam,et al.  An empirical fatigue-life model for high-performance fibre composites with and without impact damage , 1999 .

[5]  Bryan Harris,et al.  Fatigue in composites , 2003 .

[6]  Shuji Taira,et al.  Lifetime of Structures Subjected to Varying Load and Temperature , 1962 .

[7]  George S. Springer,et al.  Effects of Moisture and Temperature on the Tensile Strength of Composite Materials , 1977 .

[8]  M. Jen,et al.  Fatigue response of APC-2 composite laminates at elevated temperatures , 2008 .

[9]  A. Garg Effect of moisture and temperature on fracture behavior of graphite-epoxy laminates , 1988 .

[10]  Masamichi Kawai,et al.  A phenomenological model for off-axis fatigue behavior of unidirectional polymer matrix composites under different stress ratios , 2004 .

[11]  E. W. C. Wilkins,et al.  Cumulative damage in fatigue , 1956 .

[12]  M. Kawai,et al.  Temperature dependence of off-axis tensile creep rupture behavior of a unidirectional carbon/epoxy laminate , 2008 .

[13]  Shinichi Yajima,et al.  Off-Axis Fatigue Behavior of Unidirectional Carbon Fiber-Reinforced Composites at Room and High Temperatures , 2001 .

[14]  T. Taniguchi,et al.  Off-axis fatigue behavior of plain weave carbon/epoxy fabric laminates at room and high temperatures and its mechanical modeling , 2006 .

[15]  G. Sendeckyj,et al.  Life Prediction for Resin-Matrix Composite Materials , 1991 .

[16]  Iain Le May,et al.  Creep, Viscoelasticity and Creep Fracture in Solids , 1976 .

[17]  Masamichi Kawai,et al.  A three-segment anisomorphic constant life diagram for the fatigue of symmetric angle-ply carbon/epoxy laminates at room temperature , 2010 .

[18]  Wayne W. Stinchcomb,et al.  Effects of moisture, residual thermal curing stresses, and mechanical load on the damage development in quasi-isotropic laminates , 1982 .

[19]  R. C. Progelhof,et al.  A study of creep and creep rupture of polycarbonate , 1995 .

[20]  Scott W. Case,et al.  Durability of a graphite/epoxy woven composite under combined hygrothermal conditions , 2000 .

[21]  T. Adam,et al.  Life prediction for fatigue of T800/5245 carbon-fibre composites: I. Constant-amplitude loading , 1994 .

[22]  T. Adam,et al.  Fatigue Life Prediction for Carbon Fibre Composites , 1992 .

[23]  Anastasios P. Vassilopoulos,et al.  Piecewise non-linear constant life diagram formulation for FRP composite materials , 2010 .

[24]  Gerard Franklyn Fernando,et al.  Fatigue behaviour of carbon fibre reinforced plastics , 1990 .

[25]  Masamichi Kawai,et al.  Anisomorphic constant fatigue life diagrams for a woven fabric carbon/epoxy laminate at different temperatures , 2012 .

[26]  Bankim Chandra Ray,et al.  Temperature effect during humid ageing on interfaces of glass and carbon fibers reinforced epoxy composites. , 2006, Journal of colloid and interface science.

[27]  D. P. Williams,et al.  Notched and unnotched fatigue behavior of angle-ply graphite/epoxy composites , 1977 .

[28]  Anastasios P. Vassilopoulos,et al.  Influence of the constant life diagram formulation on the fatigue life prediction of composite materials , 2010 .

[29]  John Goodman,et al.  Mechanics applied to engineering , 1904 .

[30]  Masamichi Kawai,et al.  Nonlinear constant fatigue life diagrams for carbon/epoxy laminates at room temperature , 2007 .

[31]  T. Adam,et al.  Life–prediction for constant–stress fatigue in carbon–fibre composites , 1997, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[32]  T. Adam,et al.  The environmental fatigue behaviour of reinforced plastics , 1984, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[33]  B. Harris Engineering composite materials , 1986 .

[34]  Masamichi Kawai,et al.  Fatigue life prediction of composite materials under constant amplitude loading , 2020, Fatigue Life Prediction of Composites and Composite Structures.

[35]  Jiming Zhou,et al.  Hygrothermal effects of epoxy resin. Part I: the nature of water in epoxy , 1999 .