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The Mathematical Theory of Elasticity (Paperback, 2nd edition)
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The Mathematical Theory of Elasticity (Paperback, 2nd edition)
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Through its inclusion of specific applications, The Mathematical
Theory of Elasticity, Second Edition continues to provide a bridge
between the theory and applications of elasticity. It presents
classical as well as more recent results, including those obtained
by the authors and their colleagues. Revised and improved, this
edition incorporates additional examples and the latest research
results. New to the Second Edition Exposition of the application of
Laplace transforms, the Dirac delta function, and the Heaviside
function Presentation of the Cherkaev, Lurie, and Milton (CLM)
stress invariance theorem that is widely used to determine the
effective moduli of elastic composites The Cauchy relations in
elasticity A body force analogy for the transient thermal stresses
A three-part table of Laplace transforms An appendix that explores
recent developments in thermoelasticity Although emphasis is placed
on the problems of elastodynamics and thermoelastodynamics, the
text also covers elastostatics and thermoelastostatics. It
discusses the fundamentals of linear elasticity and applications,
including kinematics, motion and equilibrium, constitutive
relations, formulation of problems, and variational principles. It
also explains how to solve various boundary value problems of one,
two, and three dimensions. This professional reference includes
access to a solutions manual for those wishing to adopt the book
for instructional purposes.
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