Solution of Crack Problems

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9401586489
Total Pages : 314 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Solution of Crack Problems by : D.A. Hills

Download or read book Solution of Crack Problems written by D.A. Hills and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher : Springer Science & Business Media
ISBN 13 : 9789001798604
Total Pages : 578 pages
Book Rating : 4.7/5 (986 download)

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Book Synopsis Methods of Analysis and Solutions of Crack Problems by : George C. Sih

Download or read book Methods of Analysis and Solutions of Crack Problems written by George C. Sih and published by Springer Science & Business Media. This book was released on 1973-01-31 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Publisher : Springer Science & Business Media
ISBN 13 : 0792338480
Total Pages : 324 pages
Book Rating : 4.7/5 (923 download)

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Book Synopsis Solution of Crack Problems by : D.A. Hills

Download or read book Solution of Crack Problems written by D.A. Hills and published by Springer Science & Business Media. This book was released on 1996-02-29 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Publisher : Springer Science & Business Media
ISBN 13 : 9401722609
Total Pages : 562 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Methods of Analysis and Solutions of Crack Problems by : George C. Sih

Download or read book Methods of Analysis and Solutions of Crack Problems written by George C. Sih and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Publisher : Springer
ISBN 13 : 9789401586498
Total Pages : 308 pages
Book Rating : 4.5/5 (864 download)

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Book Synopsis Solution of Crack Problems by : D.A. Hills

Download or read book Solution of Crack Problems written by D.A. Hills and published by Springer. This book was released on 2014-03-14 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Plates and shells with cracks

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Publisher : Springer
ISBN 13 : 9789401012942
Total Pages : 350 pages
Book Rating : 4.0/5 (129 download)

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Book Synopsis Plates and shells with cracks by : George C. Sih

Download or read book Plates and shells with cracks written by George C. Sih and published by Springer. This book was released on 2012-02-09 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cracked it!

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Publisher : Springer
ISBN 13 : 3319893750
Total Pages : 284 pages
Book Rating : 4.3/5 (198 download)

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Book Synopsis Cracked it! by : Bernard Garrette

Download or read book Cracked it! written by Bernard Garrette and published by Springer. This book was released on 2018-06-08 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solving complex problems and selling their solutions is critical for personal and organizational success. For most of us, however, it doesn’t come naturally and we haven’t been taught how to do it well. Research shows a host of pitfalls trips us up when we try: We’re quick to believe we understand a situation and jump to a flawed solution. We seek to confirm our hypotheses and ignore conflicting evidence. We view challenges incompletely through the frameworks we know instead of with a fresh pair of eyes. And when we communicate our recommendations, we forget our reasoning isn’t obvious to our audience. How can we do it better? In Cracked It!, seasoned strategy professors and consultants Bernard Garrette, Corey Phelps and Olivier Sibony present a rigorous and practical four-step approach to overcome these pitfalls. Building on tried-and-tested (but rarely revealed) methods of top strategy consultants, research in cognitive psychology, and the latest advances in design thinking, they provide a step-by-step process and toolkit that will help readers tackle any challenging business problem. Using compelling stories and detailed case examples, the authors guide readers through each step in the process: from how to state, structure and then solve problems to how to sell the solutions. Written in an engaging style by a trio of experts with decades of experience researching, teaching and consulting on complex business problems, this book will be an indispensable manual for anyone interested in creating value by helping their organizations crack the problems that matter most.

Methods of Analysis and Solution of Crack Problems : Recent Developments in Fracture Mechanics, Theory and Methods of Solving Crack Problems

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)

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Book Synopsis Methods of Analysis and Solution of Crack Problems : Recent Developments in Fracture Mechanics, Theory and Methods of Solving Crack Problems by : g. c. m Sih

Download or read book 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 published by . This book was released on 1973 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cracks in composite materials

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Publisher : Springer Science & Business Media
ISBN 13 : 9400983409
Total Pages : 617 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Cracks in composite materials by : George C. Sih

Download or read book Cracks in composite materials written by George C. Sih and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: Composites offer great promise as light weight and strong materials for high performance structures. One of the major advantages of these materials as compared with metals is the basic way in which heterogeneity resist crack extension. In a fiber/matrix composite system, the fibers tend to cause cracks to form at closer spacing and delay the formation of a large crack. The enhancement of local failure such as fiber breaking, matrix cracking and interface debonding further reduces the energy level which might have otherwise reached the point of catastrophic failure. Even though substantial tests have been made on composite materials, little has been gained in the understanding and development of a predic tive procedure for composite failure. There are fundamental difficulties associated with incorporating the nonhomogeneous and anisotropic prop erties of the composite into the continuum mechanics analysis. Additional uncertainties arise from voids and defects that are introduced in the composite during manufacturing. Even a small quantity of mechanical imperfections can cause a marked influence on the composite strength. Moreover, the interface properties between the fibers and matrix or bonded laminae can also affect the load transmission characteristics significantly. It would be impossible to establish predictive procedures for composite failure unless realistic guidelines could be developed to control the manufacturing quality of composite systems.

Multiple Crack Problems in Elasticity

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Author :
Publisher : Wit Pr/Computational Mechanics
ISBN 13 : 9781853129032
Total Pages : 336 pages
Book Rating : 4.1/5 (29 download)

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Book Synopsis Multiple Crack Problems in Elasticity by : Y. Z. Chen

Download or read book Multiple Crack Problems in Elasticity written by Y. Z. Chen and published by Wit Pr/Computational Mechanics. This book was released on 2003-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numerical Assessments of Cracks in Elastic-Plastic Materials

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Publisher : Springer Science & Business Media
ISBN 13 : 3540458824
Total Pages : 318 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Numerical Assessments of Cracks in Elastic-Plastic Materials by : Huang Yuan

Download or read book Numerical Assessments of Cracks in Elastic-Plastic Materials written by Huang Yuan and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book a systematic discussion of crack problems in elastic-plastic materials is presented. The state of the art in fracture mechanics research and assessment of cracks is documented, with the help of analytic, asymptotic methods as well as finite element computations. After a brief introduction to fracture mechanics, the two-parameter concept for stationary cracks is studied in addition to the issues in three-dimensional crack fields under coupling with strong out-of-plane effects. Cracks along interfaces and crack growth problems under mixed mode conditions are also treated. A systematic study of stress singularities for different notches is accompanied by detailed finite element computations.

Analytical Fracture Mechanics

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Publisher : Courier Corporation
ISBN 13 : 0486143856
Total Pages : 338 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Analytical Fracture Mechanics by : David J. Unger

Download or read book Analytical Fracture Mechanics written by David J. Unger and published by Courier Corporation. This book was released on 2012-06-08 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Analytical Fracture Mechanics should prove to be a valuable resource to both the new student and the experienced researcher in fracture mechanics. It is recommended." — Applied Mechanics Review One of the central concerns of engineering is the failure of materials. Addressing this concern, fracture mechanics — an interdisciplinary subject spanning mechanical, civil, and materials engineering, applied mathematics, and physics — predicts the conditions under which such failure will occur due to crack growth. This valuable self-contained text by an expert in the field supplements standard fracture mechanics texts by focusing on analytical methods for determining crack-tip stress and strain fields. Following a comprehensive 120-page introduction — which provides all the background necessary for understanding the remaining chapters — the book is organized around a series of elastoplastic and hydrogen-assisted crack-tip problems and their solutions. The first chapter presents the only proven solution technique for the second order nonlinear partial differential equation governing a mode I elastoplastic crack problem. Other chapters deal with plastic zone transitions, environmental cracking, and small-scale yielding versus exact linear elastic solutions. One of the excellent features of this book is the clarity with which groups of problems are presented and related to each other. Another is the careful attention it gives to the various modes of fracture (I, II, and III) and to showing the circumstances under which information from a solution for one mode may be used to infer information in another mode. For this edition, the author has added a new appendix, "Stress Across an Elastoplastic Boundary of a Mode I Crack: Parabolic to Hyperbolic Plasticity Transition."

Elastodynamic Crack Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 9789028601567
Total Pages : 410 pages
Book Rating : 4.6/5 (15 download)

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Book Synopsis Elastodynamic Crack Problems by : George C. Sih

Download or read book Elastodynamic Crack Problems written by George C. Sih and published by Springer Science & Business Media. This book was released on 1977-03-31 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solution of 2-D Crack Problems by a Superposition Method Application to Part Through Cracks

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Publisher :
ISBN 13 :
Total Pages : 332 pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis Solution of 2-D Crack Problems by a Superposition Method Application to Part Through Cracks by : Nabil F. Fares

Download or read book Solution of 2-D Crack Problems by a Superposition Method Application to Part Through Cracks written by Nabil F. Fares and published by . This book was released on 1985 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Numerical Solution of Crack Problems with Curved Boundaries

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (535 download)

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Book Synopsis The Numerical Solution of Crack Problems with Curved Boundaries by : R. N. L. Smith

Download or read book The Numerical Solution of Crack Problems with Curved Boundaries written by R. N. L. Smith and published by . This book was released on 1984 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multiple Crack Problems in Elasticity

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Author :
Publisher : Wit Pr/Computational Mechanics
ISBN 13 : 9781853129032
Total Pages : 336 pages
Book Rating : 4.1/5 (29 download)

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Book Synopsis Multiple Crack Problems in Elasticity by : Y. Z. Chen

Download or read book Multiple Crack Problems in Elasticity written by Y. Z. Chen and published by Wit Pr/Computational Mechanics. This book was released on 2003-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Numerical Method for the Treatment of Kinked Cracks in Finite Bodies

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Publisher :
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis A Numerical Method for the Treatment of Kinked Cracks in Finite Bodies by : Ukhwan Sur

Download or read book A Numerical Method for the Treatment of Kinked Cracks in Finite Bodies written by Ukhwan Sur and published by . This book was released on 1987 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: