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Classical and Generalized Models of Elastic Rods

Classical and Generalized Models of Elastic Rods by D. Iesan
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Preface

Saint-Venant’s Problem

Preliminaries

Formulation of Saint-Venant’s Problem

Saint-Venant’s Solutions

Unified Treatment

Plane Deformation

Properties of the Solutions to Saint-Venant’s Problem

New Method of Solving Saint-Venant’s Problem

Minimum Energy Characterizations of Solutions

Truesdell’s Problem

Saint-Venant’s Principle

Theory of Loaded Cylinders

Problems of Almansi and Michell

Almansi–Michell Problem

Almansi Problem

Characterization of Solutions

Direct Method

Applications

Deformation of Nonhomogeneous Cylinders

Preliminaries

Plane Strain Problem: Auxiliary Plane Strain Problems

Extension and Bending of Nonhomogeneous Cylinders

Torsion

Flexure

Elastic Cylinders Composed of Different Nonhomogeneous and Isotropic Materials

Piecewise Homogeneous Cylinders

Applications

Anisotropic Bodies

Preliminaries

Generalized Plane Strain Problem

Extension, Bending, and Torsion

Flexure of Anisotropic Cylinders

Minimum Energy Characterizations of Solutions

Global Strain Measures

Problem of Loaded Cylinders

Orthotropic Bodies

Plane Strain Problem of Orthotropic Bodies

Deformation of Elastic Cylinders Composed of Nonhomogeneous and Anisotropic Materials

Cylinders Composed of Different Orthotropic Materials

Cosserat Elastic Continua

Basic Equations

Plane Strain

Saint-Venant’s Problem for Cosserat Cylinders

Minimum Principles

Global Strain Measures

Theory of Loaded Cosserat Cylinders

Nonhomogeneous Cosserat Cylinders

Plain Strain Problems

Saint-Venant’s Problem

Problems of Almansi and Michell

Anisotropic Cosserat Cylinders

Cylinders Composed of Different Elastic Materials

Porous Elastic Bodies

Basic Equations

Plane Strain

Extension, Bending, and Torsion of Porous Elastic Cylinders

Cylinders Composed of Different Porous Materials

Applications

Answers to Selected Problems

Bibliography

Index

Exercises appear at the end of each chapter.


CRC Press; November 2008
386 pages; ISBN 9781420086508
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Title: Classical and Generalized Models of Elastic Rods
Author: D. Iesan
 
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