This is a first year graduate textbook on linear elasticity, being
based on a one semester course taught by the author at the
University of Michigan. It is written with the practical
engineering reader in mind, dependence on previous knowledge of
solid mechanics, continuum, mechanics or mathematics being
minimized. Most of the text should be readily intelligible to a
reader with an undergraduate background of one or two courses in
elementary strength of materials and a rudimentary knowledge of
partial differentiation. Emphasis is placed on engineering
applications of elasticity and examples are generally worked
through to final expressions for the stress and displacement fields
in order to explore the engineering consequences of the results.
The topics covered are chosen with a view to modern research
applications in fracture mechanics, composite materials, tribology
and numerical methods. Thus, significant attention is given to
crack and contact problems, problems involving interfaces between
dissimilar media, thermoelasticity, singular asymptotic stress
fields and three-dimensional problems. Problems suitable for class
use are included at the end of most of the chapters. These are
expressed wherever possible in the form they would arise in
engineering - i.e. as a body of a given geometry subjected to
prescribed loading - instead of inviting the student to verify'
that a given candidate stress function is appropriate to the
problem. The text is therefore written in such a way as to enable
the student to approach such problems deductively. A solutions
manual is available directly from the author (e-mail:
[email protected]).
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