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Solutions of Some Problems in Mechanics of Elastic Media (Paperback)
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Solutions of Some Problems in Mechanics of Elastic Media (Paperback)
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Elasticity is a fundamental property of all substances occurring in
nature. The theory of elasticity is concerned with the study of the
response of elastic bodies to the action of forces. The importance
of the application of the theory of elasticity in physics and
technical mechanics involved in the stated problems from the
viewpoint of mathematical analysis attracted the attention of the
greatest investigators of the 20th centuries to this branch of
science. This thesis is devoted to study some problems in the
mechanics of elastic bodies, which might have some interesting
applications in the Earthquake science, Geophysics, ..., etc. or in
the industry, under certain boundary conditions. The topics
discussed here are classified into two parts. The first and second
chapters are concerned with the determination of frequency in
orthotropic non-homogeneous cylinder and sphere. The third and
fourth chapters are concerned with the determination of stress in a
dynamical non-homogeneous cylinder containing core, using the
stresses-strains relationship in which the elastic constants and
density are taken as functions of the radial coordinates in the
absence of the body forces
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