Solution of Crack Problems: The Distributed Dislocation TechniqueSpringer Science & Business Media, 29.02.1996 - 308 Seiten 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. |
Inhalt
Distributed Dislocation Fundamentals | 29 |
Further Topics in Plane Crack Problems | 69 |
Interface Cracks | 107 |
Solution of AxiSymmetric Crack Problems | 137 |
An Introduction | 171 |
Further Concepts | 211 |
Concluding Remarks | 231 |
B Numerical Solution of SIEs with Cauchy Kernel | 253 |
Plane and Ring Dipole Influence Functions | 261 |
Contour Integral and Kernel Function | 271 |
References | 277 |
293 | |
Andere Ausgaben - Alle anzeigen
Solution of Crack Problems: The Distributed Dislocation Technique D.A. Hills,P.A. Kelly,D.N. Dai,A.M. Korsunsky Eingeschränkte Leseprobe - 2013 |
Solution of Crack Problems: The Distributed Dislocation Technique D.A. Hills,P.A. Kelly,D.N. Dai,A.M. Korsunsky Keine Leseprobe verfügbar - 2010 |
Solution of Crack Problems: The Distributed Dislocation Technique D.A. Hills,P.A. Kelly,D.N. Dai,A.M. Korsunsky Keine Leseprobe verfügbar - 2014 |
Häufige Begriffe und Wortgruppen
analysis applied approach approximation arbitrary arising associated assumed body boundary bounded Burgers vector calculation Chapter closed collocation points complex components consider constant coordinate corresponding crack faces crack front crack problems crack tip defined density derived described determined developed dipole direction dislocation displacement distribution elastic element employed evaluated example expected expressed finite follows formulae fracture free surface Further geometry give given inclusion induced infinite influence functions integral equation interface ISBN kink length linear loading material Mechanics method mode normal numerical obtained plane position possible present procedure quadrature region remote respectively ring dipole shape shear shown in Figure shows side sin2 singular slip solution solved strain stress field stress intensity factors Table technique tension tractions transformation weight function yield zero zone
Beliebte Passagen
Seite 283 - The use of piecewise quadratic polynomials for the solution of singular integral equations of Cauchy type,
Verweise auf dieses Buch
Fatigue and Fracture Mechanics: Proceedings, National Symposium on Fatigue ... Walter G. Reuter,Robert S. Piascik Eingeschränkte Leseprobe - 2002 |