Author: Benjamin WilliamsonPublisher:
ISBN:
Category : Elastic solids
Languages : en
Pages : 158
Book Description
Introduction to the Mathematical Theory of the Stress and Strain of Elastic Solids
Author: Benjamin WilliamsonPublisher:
ISBN:
Category : Elastic solids
Languages : en
Pages : 158
Book Description
A Treatise on the Mathematical Theory of Elasticity
Author: Augustus Edward Hough LovePublisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 674
Book Description
An Introduction to the Mathematical Theory of Vibrations of Elastic Plates
Author: Raymond David MindlinPublisher: World Scientific
ISBN: 9812772499
Category : Technology & Engineering
Languages : en
Pages : 211
Book Description
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.
Philosophical Magazine
Author: The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science
Author: The Sibley Journal of Engineering
Author: Crank, Sibley Journal of Engineering
Author: Stress Waves in Solids
Author: Herbert KolskyPublisher: Courier Corporation
ISBN: 0486610985
Category : Technology & Engineering
Languages : en
Pages : 226
Book Description
The most readable survey of the theoretical core of current knowledge available. The author gives a concise account of the classical theory necessary to an understanding of the subject and considers how this theory has been extended to solids.
Applied Mechanics of Solids
Author: Allan F. BowerPublisher: CRC Press
ISBN: 1439802483
Category : Science
Languages : en
Pages : 820
Book Description
Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o
Introduction to Mathematical Elasticity
Author: L. P. LebedevPublisher: World Scientific
ISBN: 9814273724
Category : Technology & Engineering
Languages : en
Pages : 317
Book Description
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.