Intro to Mathematical Elasticity (English, Lebedev Leonid P)

Product description Review The book presents all the necessary topics in a brief but detailed manner. Besides a focused introduction to classical mechanics, it offers concise orientations to the calculus of variations, tensor analysis, continuum mechanics, Lebesgue integration, Sobolev spaces and imbedding, and other aspects of functional analysis. --ZAMM From the Back Cover 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.