Solution Of Crack Problems
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Solution Of Crack Problems
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Author : D.A. Hills
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Solution Of Crack Problems written by D.A. Hills 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 2013-04-17 with Science categories.
This book is concerned with the numerical solution of crack problems. The techniques to be developed are particularly appropriate when cracks are relatively short, and are growing in the neighbourhood of some stress raising feature, causing a relatively steep stress gradient. It is therefore practicable to represent the geometry in an idealised way, so that a precise solution may be obtained. This contrasts with, say, the finite element method in which the geometry is modelled exactly, but the subsequent solution is approximate, and computationally more taxing. The family of techniques presented in this book, based loosely on the pioneering work of Eshelby in the late 1950's, and developed by Erdogan, Keer, Mura and many others cited in the text, present an attractive alternative. The basic idea is to use the superposition of the stress field present in the unfiawed body, together with an unknown distribution of 'strain nuclei' (in this book, the strain nucleus employed is the dislocation), chosen so that the crack faces become traction-free. The solution used for the stress field for the nucleus is chosen so that other boundary conditions are satisfied. The technique is therefore efficient, and may be used to model the evolution of a developing crack in two or three dimensions. Solution techniques are described in some detail, and the book should be readily accessible to most engineers, whilst preserving the rigour demanded by the researcher who wishes to develop the method itself.
Solution Of Crack Problems
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Author : D.A. Hills
language : en
Publisher: Springer
Release Date : 2014-03-14
Solution Of Crack Problems written by D.A. Hills and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-14 with Science categories.
This book is concerned with the numerical solution of crack problems. The techniques to be developed are particularly appropriate when cracks are relatively short, and are growing in the neighbourhood of some stress raising feature, causing a relatively steep stress gradient. It is therefore practicable to represent the geometry in an idealised way, so that a precise solution may be obtained. This contrasts with, say, the finite element method in which the geometry is modelled exactly, but the subsequent solution is approximate, and computationally more taxing. The family of techniques presented in this book, based loosely on the pioneering work of Eshelby in the late 1950's, and developed by Erdogan, Keer, Mura and many others cited in the text, present an attractive alternative. The basic idea is to use the superposition of the stress field present in the unfiawed body, together with an unknown distribution of 'strain nuclei' (in this book, the strain nucleus employed is the dislocation), chosen so that the crack faces become traction-free. The solution used for the stress field for the nucleus is chosen so that other boundary conditions are satisfied. The technique is therefore efficient, and may be used to model the evolution of a developing crack in two or three dimensions. Solution techniques are described in some detail, and the book should be readily accessible to most engineers, whilst preserving the rigour demanded by the researcher who wishes to develop the method itself.
Methods Of Analysis And Solutions Of Crack Problems
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Author : George C. Sih
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Methods Of Analysis And Solutions Of Crack Problems written by George C. Sih 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 2013-11-11 with Science categories.
It is weH known that the traditional failure criteria cannot adequately explain failures which occur at a nominal stress level considerably lower than the ultimate strength of the material. The current procedure for predicting the safe loads or safe useful life of a structural member has been evolved around the discipline oflinear fracture mechanics. This approach introduces the concept of a crack extension force which can be used to rank materials in some order of fracture resistance. The idea is to determine the largest crack that a material will tolerate without failure. Laboratory methods for characterizing the fracture toughness of many engineering materials are now available. While these test data are useful for providing some rough guidance in the choice of materials, it is not clear how they could be used in the design of a structure. The understanding of the relationship between laboratory tests and fracture design of structures is, to say the least, deficient. Fracture mechanics is presently at astandstill until the basic problems of scaling from laboratory models to fuH size structures and mixed mode crack propagation are resolved. The answers to these questions require some basic understanding ofthe theory and will not be found by testing more specimens. The current theory of fracture is inadequate for many reasons. First of aH it can only treat idealized problems where the applied load must be directed normal to the crack plane.
Solution Of Crack Problems
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Author : D.A. Hills
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-02-29
Solution Of Crack Problems written by D.A. Hills 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 1996-02-29 with Science categories.
This book is concerned with the numerical solution of crack problems. The techniques to be developed are particularly appropriate when cracks are relatively short, and are growing in the neighbourhood of some stress raising feature, causing a relatively steep stress gradient. It is therefore practicable to represent the geometry in an idealised way, so that a precise solution may be obtained. This contrasts with, say, the finite element method in which the geometry is modelled exactly, but the subsequent solution is approximate, and computationally more taxing. The family of techniques presented in this book, based loosely on the pioneering work of Eshelby in the late 1950's, and developed by Erdogan, Keer, Mura and many others cited in the text, present an attractive alternative. The basic idea is to use the superposition of the stress field present in the unfiawed body, together with an unknown distribution of 'strain nuclei' (in this book, the strain nucleus employed is the dislocation), chosen so that the crack faces become traction-free. The solution used for the stress field for the nucleus is chosen so that other boundary conditions are satisfied. The technique is therefore efficient, and may be used to model the evolution of a developing crack in two or three dimensions. Solution techniques are described in some detail, and the book should be readily accessible to most engineers, whilst preserving the rigour demanded by the researcher who wishes to develop the method itself.
The Development And Solution Of Boundary Integral Equations For Crack Problems In Fracture Mechanics
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Author : L. T. Montulli
language : en
Publisher:
Release Date : 1976
The Development And Solution Of Boundary Integral Equations For Crack Problems In Fracture Mechanics written by L. T. Montulli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Boundary value problems categories.
The elastostatic Boundary Integral Equation (B.I.E.) method is mathematically extended to include closed crack plane boundary value problems under general loading. The B.I.E. is formulated for a modified open crack geometry. By the formulation of a sum and difference state over the crack surfaces, a limit operation closing the crack is successfully performed. The resulting integral equation set is solved for two example problems possessing known solutions. The stress intensity factors, K(I), K(II), and K(III), and the resulting strain energy of the body are calculated and found to be accurate within 1% when compared to the analytical solution. The bent edge crack in a finite circular disk subject to mixed mode loading is investigated. Initial crack trajectories are predicted using the strain energy release rate criterion and compared to known results.
Methods Of Analysis And Solutions Of Crack Problems
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Author : George C. Sih
language : en
Publisher: Springer Science & Business Media
Release Date : 1973-01-31
Methods Of Analysis And Solutions Of Crack Problems written by George C. Sih 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 1973-01-31 with Science categories.
It is weH known that the traditional failure criteria cannot adequately explain failures which occur at a nominal stress level considerably lower than the ultimate strength of the material. The current procedure for predicting the safe loads or safe useful life of a structural member has been evolved around the discipline oflinear fracture mechanics. This approach introduces the concept of a crack extension force which can be used to rank materials in some order of fracture resistance. The idea is to determine the largest crack that a material will tolerate without failure. Laboratory methods for characterizing the fracture toughness of many engineering materials are now available. While these test data are useful for providing some rough guidance in the choice of materials, it is not clear how they could be used in the design of a structure. The understanding of the relationship between laboratory tests and fracture design of structures is, to say the least, deficient. Fracture mechanics is presently at astandstill until the basic problems of scaling from laboratory models to fuH size structures and mixed mode crack propagation are resolved. The answers to these questions require some basic understanding ofthe theory and will not be found by testing more specimens. The current theory of fracture is inadequate for many reasons. First of aH it can only treat idealized problems where the applied load must be directed normal to the crack plane.
Multiple Crack Problems In Elasticity
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Author : Y. Z. Chen
language : en
Publisher: Wit Pr/Computational Mechanics
Release Date : 2003-01
Multiple Crack Problems In Elasticity written by Y. Z. Chen and has been published by Wit Pr/Computational Mechanics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01 with Technology & Engineering categories.
The authors investigate various integral equations for multiple crack problems in plane elasticity. Formulation of the problems is based on relevant elementary solutions in which the complex variable function method is used.
Elastodynamic Crack Problems
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Author : George C. Sih
language : en
Publisher: Springer Science & Business Media
Release Date : 1977-03-31
Elastodynamic Crack Problems written by George C. Sih 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 1977-03-31 with Science categories.
Structural Integrity Of Fasteners
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Author : Pir M. Toor
language : en
Publisher: ASTM International
Release Date : 1995
Structural Integrity Of Fasteners written by Pir M. Toor and has been published by ASTM International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Technology & Engineering categories.
Methods Of Analysis And Solution Of Crack Problems Recent Developments In Fracture Mechanics Theory And Methods Of Solving Crack Problems
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Author : g. c. m Sih
language : en
Publisher:
Release Date : 1973
Methods Of Analysis And Solution Of Crack Problems Recent Developments In Fracture Mechanics Theory And Methods Of Solving Crack Problems written by g. c. m Sih 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.