A statistical theory of fatigue crack growth at damage cumulation

Huang, Yifeng; Zou, Peijun; Gao, Qing

doi:10.1007/s004190050107

Cited by 8 publications

(2 citation statements)

References 8 publications

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“…Finally, it is of importance to acknowledge related work on the development of statistical approaches for the modelling of fatigue. Some of the key papers are listed in Refs [22–32 ]. These papers provide a framework for the statistical analysis of fatigue crack growth as a function of single variables.…”

Section: Resultsmentioning

confidence: 99%

A New Multiparameter Approach to the Prediction of Fatigue Crack Growth

Soboyejo

Ni$^{

et al. 1998

Fatigue Fract Eng Mat Struct

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A new multiparameter approach is proposed for the prediction of the combined effects of multiple variables on fatigue crack growth. The method, which is based on multiple linear regression analysis, involves the statistical formulation of mathematical expressions for the crack growth rate, da/dN, as a function of multiple variables, e.g. stress intensity factor range, ΔK, crack closure stress intensity factor, Kcl , and stress ratio, R. A general empirical approach is proposed for the estimation of the fatigue crack growth rate as a function of the above variables. The predictive capability of the empirical approach is then verified by comparing predicted and measured fatigue crack growth and crack growth rate data obtained from tests on a quenched and tempered Q1N (HY80) pressure vessel steel. Error ranges and reliability functions are presented within a probabilistic mechanics framework, and the implications of the results are discussed for the development of generalized fatigue life prediction methods.

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Section: Resultsmentioning

confidence: 99%

A New Multiparameter Approach to the Prediction of Fatigue Crack Growth

Soboyejo

Ni$^{

et al. 1998

Fatigue Fract Eng Mat Struct

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“…[4,5,6,8,9]'s researches about the relationships of causal principle, symmetry and variational principle. In statistical theory, statistical quantitative causal relations in expressions of equations are also satisfied, thus, definite results may be deduced [10].…”

Section: Introductionmentioning

confidence: 99%

Unified Expressions of All Integral Variational Principles

2006

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In terms of the quantitative causal principle, this paper obtains a general variational principle, gives unified expressions of the general, Hamilton, Voss, Hölder, Maupertuis-Lagrange variational principles of integral style, the invariant quantities of the general, Voss, Hölder, Maupertuis-Lagrange variational principles are given, finally the Noether conservation charges of the general, Voss, Hölder, Maupertuis-Lagrange variational principles are deduced, and the intrinsic relations among the invariant quantities and the Noether conservation charges of the all integral variational principles are achieved.

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A Statistical Theory to Aggregation in One-dimensional Freeway Traffic

Lin

et al. 2010

J Stat Phys

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A statistical theory of fatigue crack growth at damage cumulation

Cited by 8 publications

References 8 publications

A New Multiparameter Approach to the Prediction of Fatigue Crack Growth

A New Multiparameter Approach to the Prediction of Fatigue Crack Growth

Unified Expressions of All Integral Variational Principles

A Statistical Theory to Aggregation in One-dimensional Freeway Traffic

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