Solution Of Crack Problems The Distributed Dislocation Technique
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This book describes a family of state-of-the-art numerical and semi-analytical techniques for determining stress intensity factors for cracks; the quantities which determine and control the fatigue life of engineering components. Fatigue problems are dominated by behaviour of the crack when it is short, and in the neighbourhood of the source of nucleation, as this is where the majority of the life is used up. A knowledge of crack-tip stress intensity factors in this regime is paramount. The techniques described in this book are very efficient methods of determining stress intensity factors with great precision and computational efficiency. This will allow for accurate estimates of component life and inspection intervals. Booknews Concerned with the numerical solution of crack problems, this volume presents techniques which are particularly appropriate to relatively short cracks which are growing in the neighborhood of some stress-raising feature, causing a relatively steep stress gradient. The basic idea is to use the superposition of the stress field present in the unflawed body, together with an unknown distribution of "strain nuclei", chosen so that the crack faces become traction-free. The volume begins with an introduction to fracture mechanics, followed by chapters addressing distributed dislocation fundamentals, topics in plane crack problems, interface cracks, a solution of axi-symmetric crack problems, and three-dimensional cracks. Three further sections address dislocation influence functions, numerical solution of SIEs with Cauchy kernel, and plane and ring dipole influence functions. Solution techniques are described in some detail and the book should be accessible to most engineers. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Preface1Introduction to Fracture Mechanics12Distributed Dislocation Fundamentals293Further Topics in Plane Crack Problems694Interface Cracks1075Solution of Axi-Symmetric Crack Problems1376Three-Dimensional Cracks: An Introduction1717Three-Dimensional Cracks: Further Concepts2118Concluding Remarks231A Dislocation Influence Functions235B Numerical Solution of SIEs with Cauchy Kernel253C Plane and Ring Dipole Influence Functions261D Contour Integral and Kernel Function271References277Index293
