Saint-Venant's Problem

by Dorin Iesan
Saint-Venant's Problem
Author: Dorin Iesan
Publisher: Springer
Total Pages: 171
Release: 2006-11-15
Genre: Science
ISBN: 3540479112
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This monograph is concerned with the equilibrium of linearly elastic cylinders. It gives an up-to-date and systematic treatment of extension, bending, torsion and flexure of cylinders, including the deformation of homogeneous and nonhomogeneous anisotropic elastic cylinders by loads distributed on their lateral surfaces. Minimum energy characterizations of the solutions are discussed. An analysis of Saint-Venant's principle, in the context for which it was originally intended, is also presented. Many of the results included have not appeared or been previously discussed in the literature, and illustrative applications are presented throughout.

Non-Hydrostatic Free Surface Flows

by Oscar Castro-Orgaz
Non-Hydrostatic Free Surface Flows
Author: Oscar Castro-Orgaz
Publisher: Springer
Total Pages: 699
Release: 2017-03-27
Genre: Science
ISBN: 3319479717
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This book provides essential information on the higher mathematical level of approximation over the gradually varied flow theory, also referred to as the Boussinesq-type theory. In this context, it presents higher order flow equations, together with their applications in a broad range of pertinent engineering and environmental problems, including open channel, groundwater, and granular material flows.

Elements of Stress Analysis

by Jacques Heyman
Elements of Stress Analysis
Author: Jacques Heyman
Publisher: Cambridge University Press
Total Pages: 124
Release: 1982-04
Genre: Science
ISBN: 9780521245234
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This book analyses problems in elasticity theory, highlighting elements of structural analysis in a simple and straightforward way.

Elasticity

by Martin H. Sadd
Elasticity
Author: Martin H. Sadd
Publisher: Elsevier
Total Pages: 474
Release: 2010-08-04
Genre: Technology & Engineering
ISBN: 008047747X
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Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. This text is an excellent book teaching guide. - Contains exercises for student engagement as well as the integration and use of MATLAB Software - Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of

Hamiltonian and Lagrangian Flows on Center Manifolds

by Alexander Mielke
Hamiltonian and Lagrangian Flows on Center Manifolds
Author: Alexander Mielke
Publisher: Springer
Total Pages: 145
Release: 2006-11-14
Genre: Mathematics
ISBN: 3540464417
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The theory of center manifold reduction is studied in this monograph in the context of (infinite-dimensional) Hamil- tonian and Lagrangian systems. The aim is to establish a "natural reduction method" for Lagrangian systems to their center manifolds. Nonautonomous problems are considered as well assystems invariant under the action of a Lie group ( including the case of relative equilibria). The theory is applied to elliptic variational problemson cylindrical domains. As a result, all bounded solutions bifurcating from a trivial state can be described by a reduced finite-dimensional variational problem of Lagrangian type. This provides a rigorous justification of rod theory from fully nonlinear three-dimensional elasticity. The book will be of interest to researchers working in classical mechanics, dynamical systems, elliptic variational problems, and continuum mechanics. It begins with the elements of Hamiltonian theory and center manifold reduction in order to make the methods accessible to non-specialists, from graduate student level.

Mathematical Problems in Elasticity and Homogenization

by O.A. Oleinik
Mathematical Problems in Elasticity and Homogenization
Author: O.A. Oleinik
Publisher: Elsevier
Total Pages: 413
Release: 2009-06-15
Genre: Mathematics
ISBN: 0080875238
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This monograph is based on research undertaken by the authors during the last ten years. The main part of the work deals with homogenization problems in elasticity as well as some mathematical problems related to composite and perforated elastic materials. This study of processes in strongly non-homogeneous media brings forth a large number of purely mathematical problems which are very important for applications. Although the methods suggested deal with stationary problems, some of them can be extended to non-stationary equations. With the exception of some well-known facts from functional analysis and the theory of partial differential equations, all results in this book are given detailed mathematical proof.It is expected that the results and methods presented in this book will promote further investigation of mathematical models for processes in composite and perforated media, heat-transfer, energy transfer by radiation, processes of diffusion and filtration in porous media, and that they will stimulate research in other problems of mathematical physics and the theory of partial differential equations.