Marsden J.E., Hughes J.R. Mathematical foundations of elasticity

Dover Publications, 1983. – 576 pp. – ISBN: 0-486-67865-2This book treats parts of the mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It is intended for mathematicians, engineers, and physicists who wish to s ~ e this classical subject in a modern setting and to see some examples of what newer mathematical tools have to contribute.Brief Glossary of Conventions and Notations
A Point of Departure
Geometry and Kinematics of Bodies
Balance Principles
Constitutive Theory
Linearization
Hamiltonian and Variational Principles
Methods of Functional Analysis in Elasticity
Selected Topics in Bifurcation Theory