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Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > Stress & fracture
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Solution of Crack Problems - The Distributed Dislocation Technique (Hardcover, 1996 ed.)
Loot Price: R4,181
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Solution of Crack Problems - The Distributed Dislocation Technique (Hardcover, 1996 ed.)
Series: Solid Mechanics and Its Applications, 44
Expected to ship within 18 - 22 working days
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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.
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