Solution of Crack Problems: The Distributed Dislocation TechniqueSpringer Science & Business Media, 17.04.2013 - 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
Crack Normal to the Free Surface of a HalfPlane | 62 |
Further Topics in Plane Crack Problems | 74 |
3 | 88 |
Interface Cracks | 107 |
Solution of Interface Crack Problems | 118 |
Solution of AxiSymmetric Crack Problems | 137 |
6 | 161 |
An Introduction | 171 |
Displacements Due to a Dislocation | 245 |
B Numerical Solution of SIEs with Cauchy Kernel | 253 |
Plane and Ring Dipole Influence Functions | 261 |
13 | 264 |
37 | 270 |
Contour Integral and Kernel Function | 271 |
279 | |
49 | 285 |
Piecewise Linear Approximation | 192 |
Further Concepts | 211 |
5 | 219 |
Concluding Remarks | 231 |
107 | 288 |
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 - 1996 |
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 Appl asymptotic axi-symmetric b₂ boundary Burgers vector Cauchy Cauchy kernel circular inclusion collocation point Comninou contour integrals cos² crack faces crack front crack problems dislocation density Dundurs elastic elliptical employed Erdogan evaluated finite finite-part integral Fract fracture Fracture Mechanics free surface Gaussian quadrature geometry given by equation Green's function half-plane half-space hyper-singular integral infinite infinitesimal dislocation loop influence functions integral equation integration points interface crack ISBN Jacobi polynomials Jmnp K₁ Keer kernel kink kinked crack linear loading material Mech mesh method mode normal Nowell numerical quadrature numerical solution obtained opening displacement plane dipole Poisson's ratio polynomials quadrature formula region ring dipole shear stresses shown in Figure sin² singular integral equations solve strain stress field stress intensity factors surface-breaking crack technique tractions weight function zero πα მუ