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Stochastic Modeling of Thermal Fatigue Crack Growth

Stochastic Modeling of Thermal Fatigue Crack Growth
Author: Vasile Radu
Publisher: Springer
Total Pages: 96
Release: 2014-11-19
Genre: Science
ISBN: 3319128779

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The book describes a systematic stochastic modeling approach for assessing thermal-fatigue crack-growth in mixing tees, based on the power spectral density of temperature fluctuation at the inner pipe surface. It shows the development of a frequency-temperature response function in the framework of single-input, single-output (SISO) methodology from random noise/signal theory under sinusoidal input. The frequency response of stress intensity factor (SIF) is obtained by a polynomial fitting procedure of thermal stress profiles at various instants of time. The method, which takes into account the variability of material properties, and has been implemented in a real-world application, estimates the probabilities of failure by considering a limit state function and Monte Carlo analysis, which are based on the proposed stochastic model. Written in a comprehensive and accessible style, this book presents a new and effective method for assessing thermal fatigue crack, and it is intended as a concise and practice-oriented guide for all undergraduate students, young scientists and researchers dealing with probabilistic assessment of structural integrity.


Stochastic Crack Propagation with Applications to Durability and Damage Tolerance Analyses

Stochastic Crack Propagation with Applications to Durability and Damage Tolerance Analyses
Author: J. N. Yang
Publisher:
Total Pages: 268
Release: 1985
Genre: Mathematical models
ISBN:

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Various stochastic models for fatigue crack propagation under either constant amplitude or spectrum loadings have been investigated. These models are based on the assumption that the crack growth rate is a lognormal random process, including the general lognormal random process, lognormal white noise process, lognormal random variable, and second moment approximations, such as Weibull, gamma, lognormal and Gaussian closure approximations. Extensive experimental data have been used for the correlation study with various stochastic models. These include fastener hole specimens under fighter or bomber spectrum laodings and center-cracked specimens under constant amplitude loads. The data sets for the fastener hole specimens cover adequately different loading conditions, environments, load transfers and crack size range. It is shown that the white noise process is definitely not a valid model for fatigue crack propagation.


Applied Mechanics Reviews

Applied Mechanics Reviews
Author:
Publisher:
Total Pages: 338
Release: 1987
Genre: Mechanics, Applied
ISBN:

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