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Books > Science & Mathematics > Physics > Classical mechanics
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Treatise on Classical Elasticity - Theory and Related Problems (Paperback, 2013 ed.)
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Treatise on Classical Elasticity - Theory and Related Problems (Paperback, 2013 ed.)
Series: Mathematical and Analytical Techniques with Applications to Engineering
Expected to ship within 10 - 15 working days
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Deformable solids have a particularly complex character;
mathematical modeling is not always simple and often leads to
inextricable difficulties of computation. One of the simplest
mathematical models and, at the same time, the most used model, is
that of the elastic body - especially the linear one. But,
notwithstanding its simplicity, even this model of a real body may
lead to great difficulties of computation. The practical importance
of a work about the theory of elasticity, which is also an
introduction to the mechanics of deformable solids, consists of the
use of scientific methods of computation in a domain in which
simplified methods are still used. This treatise takes into account
the consideration made above, with special attention to the
theoretical study of the state of strain and stress of a deformable
solid. The book draws on the known specialized literature, as well
as the original results of the author and his 50+ years experience
as Professor of Mechanics and Elasticity at the University of
Bucharest. The construction of mathematical models is made by
treating geometry and kinematics of deformation, mechanics of
stresses and constitutive laws. Elastic, plastic and viscous
properties are thus put in evidence and the corresponding theories
are developed. Space problems are treated and various particular
cases are taken into consideration. New solutions for boundary
value problems of finite and infinite domains are given and a
general theory of concentrated loads is built. Anisotropic and
non-homogeneous bodies are studied as well. Cosserat type bodies
are also modeled. The connection with thermal and viscous phenomena
will be considered too. Audience: researchers in applied
mathematics, mechanical and civil engineering.
General
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