This book provides the general reader with an introduction to
mathematical elasticity, by means of general concepts in classic
mechanics, and models for elastic springs, strings, rods, beams and
membranes. Functional analysis is also used to explore more general
boundary value problems for three-dimensional elastic bodies, where
the reader is provided, for each problem considered, a description
of the deformation; the equilibrium in terms of stresses; the
constitutive equation; the equilibrium equation in terms of
displacements; formulation of boundary value problems; and
variational principles, generalized solutions and conditions for
solvability.Introduction to Mathematical Elasticity will also be of
essential reference to engineers specializing in elasticity, and to
mathematicians working on abstract formulations of the related
boundary value problems.
General
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