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Introduction to Mathematical Elasticity

2009 Technology & Engineering
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Release : 2009
Genre : Technology & Engineering
Kind : eBook
Book Rating : 724/5 ( reviews)

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Book Synopsis Introduction to Mathematical Elasticity by : L. P. Lebedev

Download or read book Introduction to Mathematical Elasticity written by L. P. Lebedev. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to the Mathematical Theory of Vibrations of Elastic Plates

2006 Technology & Engineering
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Release : 2006
Genre : Technology & Engineering
Kind : eBook
Book Rating : 499/5 ( reviews)

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Book Synopsis An Introduction to the Mathematical Theory of Vibrations of Elastic Plates by : Raymond David Mindlin

Download or read book An Introduction to the Mathematical Theory of Vibrations of Elastic Plates written by Raymond David Mindlin. This book was released on 2006. Available in PDF, EPUB and Kindle. Book excerpt: This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices. Sample Chapter(s). Chapter 1: Elements of the Linear Theory of Elasticity (416 KB). Contents: Elements of the Linear Theory of Elasticity; Solutions of the Three-Dimensional Equations; Infinite Power Series of Two-Dimensional Equations; Zero-Order Approximation; First-Order Approximation; Intermediate Approximations. Readership: Researchers in mechanics, civil and mechanical engineering and applied mathematics.

Three-Dimensional Elasticity

1988-04-01 Technology & Engineering
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Release : 1988-04-01
Genre : Technology & Engineering
Kind : eBook
Book Rating : 416/5 ( reviews)

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Book Synopsis Three-Dimensional Elasticity by :

Download or read book Three-Dimensional Elasticity written by . This book was released on 1988-04-01. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible.

An Introduction to the Theory of Elasticity

2013-02-20 Science
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Release : 2013-02-20
Genre : Science
Kind : eBook
Book Rating : 992/5 ( reviews)

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Book Synopsis An Introduction to the Theory of Elasticity by : R. J. Atkin

Download or read book An Introduction to the Theory of Elasticity written by R. J. Atkin. This book was released on 2013-02-20. Available in PDF, EPUB and Kindle. Book excerpt: Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition.

Mathematical Foundations of Elasticity

2012-10-25 Technology & Engineering
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Release : 2012-10-25
Genre : Technology & Engineering
Kind : eBook
Book Rating : 272/5 ( reviews)

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Book Synopsis Mathematical Foundations of Elasticity by : Jerrold E. Marsden

Download or read book Mathematical Foundations of Elasticity written by Jerrold E. Marsden. This book was released on 2012-10-25. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It presents a classical subject in a modern setting, with examples of newer mathematical contributions. 1983 edition.

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