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A Fatigue Crack Growth Theory


A Fatigue Crack Growth Theory
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A Fatigue Crack Growth Theory


A Fatigue Crack Growth Theory
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Author : Leslie P. Pook
language : en
Publisher:
Release Date : 1973

A Fatigue Crack Growth Theory written by Leslie P. Pook and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.




A Fatigue Crack Growth Theory Based On Energy Considerations


A Fatigue Crack Growth Theory Based On Energy Considerations
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Author : PP. Milella
language : en
Publisher:
Release Date : 1999

A Fatigue Crack Growth Theory Based On Energy Considerations written by PP. Milella and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Crack closure categories.


The paper presents a further development of a fatigue crack growth theory based on an energy approach first published by the author in 1981 [1] and later revised in 1996 [2]. In an ideally elastic material containing a crack the only mechanism through which energy can be absorbed during a virtual crack extension is that associated to the creation of new free surface. It is an "in-out" situation in that a crack of a given length 2a under a stress state ? either becomes unstable or stays like it is. At variance, in a real elastic-plastic material the energy absorption rate R derives mainly from the energy stored ahead of the crack tip as plastic strain energy. The resistance R is no longer represented by a constant term, but becomes a rather complex function of crack length, increasing as the crack grows. The consequence is that even though a certain combination of crack size 2a and stress ? does not produce instability, yet there is sufficient energy in the system to drive the crack to a point where the driving force b is equal to the resistance R and the crack stops. Unloading the system and reloading it, the crack grows by fatigue indicating that the previous condition b = R is no longer satisfied. If this happens, it is because the volume that yields ahead of the crack tip is not capable during the reloading to absorb energy with the same rate as before. This forces the crack to grow further to regain the loss of energy absorption rate through the yielding of new material and to establish again the equilibrium between b and R. The author has related this lack of material capability to develop the same energy absorption rate in any of the following cycles to a shake-down effect that takes place in the plastic enclave. In each cycle, the loss of energy absorption rate is a fraction of the elastic one. The author has related this lack of material capability to develop the same energy absorption rate in any of the following cycles to a shake down effect that takes place in the plastic enclave. In each cycle, the loss of energy absorption rate is a fraction of the elastic one. Based on this hypothesis and on the assumption that the maximum fatigue crack growth can be inferred from the extension of the stretch-zone developed at the crack tip at the moment when the material starts to tear in a monotonic loading test, i.e., at JIc, a fatigue crack growth equation is obtained that relates the growth rate ?a not only to the stress intensity factor excursion ?K, but also to the toughness KIc of the material, through an exponent n, ranging from 2 to 4, which depends on the shape of the material J-R curve. The theory and the equation also explain why short cracks shall grow faster than large ones and actually define what shall be considered as a real short crack. It is also explained why the fatigue crack growth rate depends on the ratio between the minimum and maximum applied stress and is practically the same in any material independently of its yield stress and toughness.



The Life Of Cracks


The Life Of Cracks
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Author : Srečko Glodež
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2020-07-13

The Life Of Cracks written by Srečko Glodež and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-13 with Technology & Engineering categories.


Many people find the concept of fracture and damage mechanics to be somewhat problematic, mainly because, until recently, close attention in mechanics was focused especially on the strength and resistance of materials. In this sense, to speak of fracture is as uncomfortable for some as it is to speak of a deadly disease. In confronting and preventing a fatal disease, one must understand its complexity, symptoms, and behavior; by the same token, in securing the strength of an engineering structure, one must understand the reasons and type of its potential failure. This book will provide knowledge and insights on this matter to its readers.



A Synthesis Of Crack Growth Theories In Fatigue Into Some Statistical Distributions Of Fatigue Life


A Synthesis Of Crack Growth Theories In Fatigue Into Some Statistical Distributions Of Fatigue Life
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Author : Sam C. Saunders
language : en
Publisher:
Release Date : 1975

A Synthesis Of Crack Growth Theories In Fatigue Into Some Statistical Distributions Of Fatigue Life written by Sam C. Saunders and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Materials categories.


The proposed model for fatigue life is a synthesis of the distributional properties of three separate phases of fatigue crack growth. The convolved distribution of life contains three estimable parameters and a function disposable within a restricted class. The problem of estimating all three parameters using the method of maximum likelihood is examined and shown to be impossible of solution in certain cases. This indicates that one of the parameters must be determined a priori from concepts of strength of materials or fracture mechanics.



Fatigue Damage Crack Growth And Life Prediction


Fatigue Damage Crack Growth And Life Prediction
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Author : F. Ellyin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Fatigue Damage Crack Growth And Life Prediction written by F. Ellyin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


Fatigue failure is a multi-stage process. It begins with the initiation of cracks, and with continued cyclic loading the cracks propagate, finally leading to the rupture of a component or specimen. The demarcation between the above stages is not well-defined. Depending upon the scale of interest, the variation may span three orders of magnitude. For example, to a material scientist an initiated crack may be of the order of a micron, whereas for an engineer it can be of the order of a millimetre. It is not surprising therefore to see that investigation of the fatigue process has followed different paths depending upon the scale of phenomenon under investigation. Interest in the study of fatigue failure increased with the advent of industrial ization. Because of the urgent need to design against fatigue failure, early investiga tors focused on prototype testing and proposed failure criteria similar to design formulae. Thus, a methodology developed whereby the fatigue theories were proposed based on experimental observations, albeit at times with limited scope. This type of phenomenological approach progressed rapidly during the past four decades as closed-loop testing machines became available.



Theory Of Fatigue Crack Growth Based On A Bcs Crack Theory With Work Hardening


Theory Of Fatigue Crack Growth Based On A Bcs Crack Theory With Work Hardening
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Author : Johannes Weertman
language : en
Publisher:
Release Date : 1971

Theory Of Fatigue Crack Growth Based On A Bcs Crack Theory With Work Hardening written by Johannes Weertman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.


The author's theory of fatigue crack growth, which is based on the Bilby, Cottrell, and Swinden crack theory, is modified to take into account work hardening at fatigue crack tips. In this analysis stress rather than cumulative displacement or cumulative damage is the quantity whose critical value controls the crack growth. The material at the tip of a fatigue crack progressively work hardens until the stress there reaches a critical value. The material then tears apart and the crack advances until it reaches a region in which the stress is smaller than the critical value. An equation which describes the growth of fatigue cracks is derived; it is essentially the same as the crack growth equation found in the earlier analysis. The major change is the replacement of the yield stress term in the older equation with an ultimate stress term in the newer equation. The chief change is the substitution for the average yield stress in the older equation with the ultimate stress in the present equation. (Author).



Mechanics Of Fatigue


Mechanics Of Fatigue
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Author : Vladimir V. Bolotin
language : en
Publisher: CRC Press
Release Date : 2020-07-09

Mechanics Of Fatigue written by Vladimir V. Bolotin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-09 with Science categories.


Mechanics of Fatigue addresses the range of topics concerning damage, fatigue, and fracture of engineering materials and structures. The core of this resource builds upon the synthesis of micro- and macro-mechanics of fracture. In micromechanics, both the modeling of mechanical phenomena on the level of material structure and the continuous approach are based on the use of certain internal field parameters characterizing the dispersed micro-damage. This is referred to as continuum damage mechanics. The author develops his own theory for macromechanics, called analytical fracture mechanics. This term means the system cracked body - loading or loading device - is considered as a mechanical system and the tools of analytical (rational) mechanics are applied thoroughly to describe crack propagation until the final failure. Chapter discuss: preliminary information on fatigue and engineering methods for design of machines and structures against failures caused by fatigue fatigue crack nucleation, including microstructural and continuous models theory of fatigue crack propagation fatigue crack growth in linear elastic materials subject to dispersed damage fatigue cracks in elasto-plastic material, including crack growth retardation due to overloading as well as quasistationary approximation fatigue and related phenomena in hereditary solids application of the theory fatigue crack growth considering environmental factors unidirectional fiber composites with ductile matrix and brittle, initially continuous fibers laminate composites Mechanics of Fatigue serves students dealing with mechanical aspects of fatigue, conducting research in fracture mechanics, structural safety, mechanics of composites, as well as modern branches of mechanics of solids and structures.



A Fatigue Crack Growth Model With Mean Stress Effects


A Fatigue Crack Growth Model With Mean Stress Effects
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Author : Carlos Henrique De Noronha Motta
language : en
Publisher:
Release Date : 1997

A Fatigue Crack Growth Model With Mean Stress Effects written by Carlos Henrique De Noronha Motta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.




A Fatigue Crack Growth Model With Mean Stress Effects


A Fatigue Crack Growth Model With Mean Stress Effects
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Author :
language : en
Publisher:
Release Date : 1997

A Fatigue Crack Growth Model With Mean Stress Effects written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.




Fatigue Crack Growth In Rubber Materials


Fatigue Crack Growth In Rubber Materials
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Author : Gert Heinrich
language : en
Publisher: Springer Nature
Release Date : 2021-03-23

Fatigue Crack Growth In Rubber Materials written by Gert Heinrich and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-23 with Technology & Engineering categories.


The book summarizes recent international research and experimental developments regarding fatigue crack growth investigations of rubber materials. It shows the progress in fundamental as well as advanced research of fracture investigation of rubber material under fatigue loading conditions, especially from the experimental point of view. However, some chapters will describe the progress in numerical modeling and physical description of fracture mechanics and cavitation phenomena in rubbers. Initiation and propagation of cracks in rubber materials are dominant phenomena which determine the lifetime of these soft rubber materials and, as a consequence, the lifetime of the corresponding final rubber parts in various fields of application. Recently, these phenomena became of great scientific interest due to the development of new experimental methods, concepts and models. Furthermore, crack phenomena have an extraordinary impact on rubber wear and abrasion of automotive tires; and understanding of crack initiation and growth in rubbers will help to support the growthing number of activities and worldwide efforts of reduction of tire wear losses and abrasion based emissions.