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The Statistical Nature of Fatigue Crack Propagation

The Statistical Nature of Fatigue Crack Propagation
Author: Dennis Andrew Virkler
Publisher:
Total Pages: 236
Release: 1978
Genre: Aluminum alloys
ISBN:

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A statistical investigation of the fatigue crack propagation process was conducted. Sixty-eight replicate constant amplitude crack propagation tests were conducted on 2024-T3 aluminum alloy. The following distributions were considered: two-parameter normal distribution, three-parameter log-normal distribution, three-parameter Weibull distribution, two-parameter gamma distribution, three-parameter gamma distribution, the generalized three- parameter gamma distribution, and the generalized four-parameter gamma distribution. From the experimental data, the distribution of N as a function of crack length was best represented by the three-parameter log-normal distribution. Six growth rate calculation methods were investigated and the method which introduced the least amount of error into the growth rate data was found to be a modified secant method. Based on the distribution of da/dN, which varied moderately as a function of crack length, replicate a vs. N data were predicted. This predicted data reproduced the mean behavior but not the variant behavior of the actual a vs. N data.


A Unified Statistical Methodology for Modeling Fatigue Damage

A Unified Statistical Methodology for Modeling Fatigue Damage
Author: Enrique Castillo
Publisher: Springer Science & Business Media
Total Pages: 232
Release: 2009-02-27
Genre: Technology & Engineering
ISBN: 1402091826

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This book is an attempt to provide a uni?ed methodology to derive models for fatigue life. This includes S-N, ?-N and crack propagation models. This is not a conventional book aimed at describing the fatigue fundamentals, but rather a book in which the basic models of the three main fatigue approaches, the stress-based, the strain-based and the fracture mechanics approaches, are contemplated from a novel and integrated point of view. On the other hand, as an alternative to the preferential attention paid to deterministic models based on the physical, phenomenological and empirical description of fatigue, their probabilistic nature is emphasized in this book, in which stochastic fatigue and crack growth models are presented. This book is the result of a long period of close collaborationbetween its two authors who, although of di?erent backgrounds, mathematical and mechanical, both have a strong sense of engineering with respect to the fatigue problem. When the authors of this book ?rst approached the fatigue ?eld in 1982 (twenty six years ago), they found the following scenario: 1. Linear, bilinear or trilinear models were frequently proposed by relevant laboratoriesandacademiccenterstoreproducetheW ̈ ohler?eld. Thiswas the case of well known institutions, which justi?ed these models based on clientrequirementsorpreferences. Thisledtotheinclusionofsuchmodels and methods as, for example, the up-and-down, in standards and o?cial practical directives (ASTM, Euronorm, etc.), which have proved to be unfortunate.


Investigation of Statistical Nature of Fatigue Properties

Investigation of Statistical Nature of Fatigue Properties
Author: E. Epremian
Publisher:
Total Pages: 746
Release: 1952
Genre: Iron
ISBN:

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Extensive fatigue tests were made on annealed Armco iron and plain carbon and alloy steels heat-treated to different strengths and microstructures. Statistics of fatigue-fracture curves and endurance limits were determined from the experimental data obtained and, for various other materials, from a survey of literature. The results were analyzed to show the relative effects of various metallurgical factors on the statistical nature of fatigue properties. Other phases of the problem studied include: dependence of statistical variation in fatigue life on stress level in the fracture range, statistics for location of crack initiation, size effect, understressing effect, and the form and method of plotting the S-N diagram.


Characterization of the Variability in Fatigue Crack Propagation Data

Characterization of the Variability in Fatigue Crack Propagation Data
Author: DF. Ostergaard
Publisher:
Total Pages: 19
Release: 1983
Genre: Data analysis
ISBN:

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The variability in fatigue crack propagation is studied through the analysis of 68 sets of replica constant amplitude fatigue crack growth data. Each of the a versus N data sets are fit to the integral of a crack growth rate equation through a finite integral optimization routine. The routine determines the best fit crack growth parameters of the crack growth rate equation. Through characterization of the variability in the crack growth parameters and utilizing statistical theory, the variability in the a versus N data is predicted. The finite integral method of obtaining the crack growth parameters was shown to very accurately reproduce the a versus N data. The variability in the crack growth parameters showed a strong linear trend, and a regression analysis on the parameters provided information to accurately predict the variability in the fatigue crack propagation data.


Expert System for Fatigue Crack Growth Predictions Based on Fatigue Crack Closure

Expert System for Fatigue Crack Growth Predictions Based on Fatigue Crack Closure
Author: Ji-Ho Song
Publisher: Springer Nature
Total Pages: 88
Release: 2022-03-04
Genre: Technology & Engineering
ISBN: 9811680361

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This book demonstrates fatigue crack growth under random loading graphically. This state-of-the-art monograph introduces an expert system for crack growth predictions, particularly based on crack closure. The system is developed after years of research by the authors by using the Math-type software consisting of 5 parts. This system is unique as it is fundamentally different from previous systems as it focuses on fatigue crack growth predictions based on fatigue crack closure. This book can be a useful guide for practicing engineers, researchers, and students in the fields of mechanical, aerospace, or civil engineering.


The Stress Analysis of Cracks Handbook

The Stress Analysis of Cracks Handbook
Author: Hiroshi Tada
Publisher: Amer Society of Mechanical
Total Pages: 677
Release: 2000-01-01
Genre: Technology & Engineering
ISBN: 9780791801536

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Now in a hardbound format, this extensive source of crack stress analysis information is nearly double the size of the previous edition. Along with revisions, the authors provide 150 new pages of analysis and information. This classic volume can serve as an excellent reference, as well as a text for in-house training courses in various industries and academic settings.


Handbook of Fatigue Crack Propagation in Metallic Structures

Handbook of Fatigue Crack Propagation in Metallic Structures
Author: A. Carpinteri
Publisher: Newnes
Total Pages: 834
Release: 2012-12-02
Genre: Technology & Engineering
ISBN: 0444600329

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The purpose of this Handbook is to provide a review of the knowledge and experiences in the field of fatigue fracture mechanics. It is well-known that engineering structures can fail due to cyclic loading. For instance, a cyclically time-varying loading reduces the structure strength and can provoke a fatigue failure consisting of three stages: (a) crack initiation (b) crack propagation and (c) catastrophic failure. Since last century many scientists have tried to understand the reasons for the above-mentioned failures and how to prevent them. This Handbook contains valuable contributions from leading experts within the international scientific community and covers many of the important problems associated with the fatigue phenomena in civil, mechanical and nuclear engineering.


Small Fatigue Cracks

Small Fatigue Cracks
Author: K.S. Ravichandran
Publisher: Elsevier
Total Pages: 511
Release: 1999-09-30
Genre: Technology & Engineering
ISBN: 0080569706

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This book contains the fully peer-reviewed papers presented at the Third Engineering Foundation Conference on Small Fatigue Cracks, held under the chairmanship of K.S. Ravichandran and Y. Murakami during December 6-11, 1998, at the Turtle Bay Hilton, Oahu, Hawaii. This book presents a state-of-the-art description of the mechanics, mechanisms and applications of small fatigue cracks by most of the world's leading experts in this field. Topics ranging from the mechanisms of crack initiation, small crack behavior in metallic, intermetallic, ceramic and composite materials, experimental measurement, mechanistic and theoretical models, to the role of small cracks in fretting fatigue and the application of small crack results to the aging aircraft and high-cycle fatigue problems, are covered.