MARKOV CHAINS FOR DAMAGE ACCUMULATION OF ORGANIC AND CERAMIC MATRIX COMPOSITES

A systematic presentation of the concept of a well-defined stochastic damage accumulation model for fatigue calculation is attempted; the model is applicable for both organic and ceramic matrix composites. Stationary and nonstationary, with one or more blocks, discrete time and finite state Markov chain models are employed. They are found appropriate for yielding fatigue life probability distributions and damage evolution information at different stress levels. The structure, applicability, flexibility, and limitations of the model are examined in detail. The theoretical concepts are elucidated by the incorporation of data from a comprehensive testing program.

[1]  S. Winterstein,et al.  Random Fatigue: From Data to Theory , 1992 .

[2]  R. Kim,et al.  Fatigue Behavior of Composite Laminate , 1976 .

[3]  V. A. Avakov,et al.  Fatigue Reliability Functions , 1989 .

[4]  D. Rouby,et al.  Fatigue behaviour related to interface modification during load cycling in ceramic-matrix fibre composites , 1993 .

[5]  Kazimierz Sobczyk,et al.  Stochastic models for fatigue damage of materials , 1987, Advances in Applied Probability.

[6]  W. Weibull A statistical theory of the strength of materials , 1939 .

[7]  Pol D. Spanos,et al.  Markov chain models for life prediction of composite laminates , 1998 .

[8]  Pol D. Spanos,et al.  Stochastic Damage Accumulation Model for Composite Laminates , 1995 .

[9]  F. Kozin,et al.  On Nonstationary Cumulative Damage Models , 1982 .

[10]  R. J. Huston Fatigue life prediction in composites , 1994 .

[11]  K. Sobczyk Introduction: From Data to Theory , 1992 .

[12]  Anthony G. Evans,et al.  Overview no. 85 The mechanical behavior of ceramic matrix composites , 1989 .

[13]  T. W. Anderson An Introduction to Multivariate Statistical Analysis , 1959 .

[14]  H. Saunders,et al.  Probabilistic models of cumulative damage , 1985 .

[15]  Douglas L. Jones,et al.  A Stiffness-Based Statistical Model for Predicting the Fatigue Life of Graphite/Epoxy Laminates , 1989 .

[16]  V. V. Bolotin Statistical Methods in Structural Mechanics , 1969 .

[17]  Douglas L. Jones,et al.  A Statistical Model for Predicting Fatigue Life of Graphite/Epoxy Laminates , 1988 .

[18]  Tom Lassen Experimental Investigation and Stochastic Modelling of the Fatigue Behaviour of Welded Steel Joints , 1997 .

[19]  V. Avakov Fatigue strength distributions , 1993 .

[20]  J. L. Bogdanoff A New Cumulative Damage Model: Part 1 , 1978 .

[21]  Anthony G. Evans,et al.  The Mechanical Behavior of Ceramic Matrix Composites , 1989 .

[22]  A.S.D. Wang,et al.  Effects of Proof Test on the Strength and Fatigue Life of a Unidirectional Composite , 1981 .

[23]  Kenneth Reifsnider,et al.  Fatigue of composite materials , 1991 .

[24]  Jwo Pan,et al.  A maximum likelihood method for estimating PSN curves , 1997 .

[25]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[26]  Isaac M Daniel,et al.  Fatigue damage mechanisms and residual properties of graphite/epoxy laminates , 1986 .

[27]  Siu-Tong Choi,et al.  A Study of Fatigue Damage and Fatigue Life of Composite Laminates , 1996 .