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Elasticity, Fracture and Flow - with Engineering and Geological Applications (Paperback, 3rd Revised edition)
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Elasticity, Fracture and Flow - with Engineering and Geological Applications (Paperback, 3rd Revised edition)
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IN this monograph I have attempted to set out, in as elemen tary a
form as possible, the basic mathematics of the theories of
elasticity, plasticity, viscosity, and rheology, together with a
discussion of the properties of the materials involved and the way
in which they are idealized to form a basis for the mathe matical
theory. There are many mathematical text-books on these subjects,
but they are largely devoted to methods for the solution of special
problems, and, while the present book may be regarded as an
introduction to these, it is also in tended for the large class of
readers such as engineers and geologists who are more interested in
the detailed analysis of stress and strain, the properties of some
of the materials they use, criteria for flow and fracture, and so
on, and whose interest in the theory is rather in the assumptions
involved in it and the way in which they affect the solutions than
in the study of special problems. The first chapter develops the
analysis of stress and strain rather fully, giving, in particular,
an account of Mohr's repre sentations of stress and of finite
homogeneous strain in three dimensions. In the second chapter, on
the behaviour of materials, the stress-strain relations for
elasticity (both for isotropic and simple anisotropic substances),
viscosity, plas ticity and some of the simpler rheological models
are described."
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