Applied Elasticity and Plasticity

Mumtaz Kassir

• Publisher: CRC Press
• Year: 2017
• Print ISBN: 9781138061910
• eBook ISBN: 9781351666930
• Topic: Physical Sciences
• Subtopic: Mechanics

Applied Elasticity and Plasticity is a comprehensive work that introduces graduate students and professionals in civil, mechanical, aeronautical and metallurgical engineering to the basic theories of elasticity, plasticity and their practical applications. Based on experimental data of static tension tests of material, several elastic and plastic stress-strain relations are derived, and commonly-used yield criteria and strain hardening rules are discussed as well.

Analysis of conventional, deviatoric and mathematical stress and strain in two and three dimensions is presented. Analytical applications include torsion and bending of structural components subjected to various loadings, thick-walled cylindrical and spherical vessels subjected to internal and external pressures, stress-concentrations around holes, stress-intensity factors in structural components containing circular, elliptical and many more concepts important for professionals and students alike.

1

Introduction

When external loads are applied to structural components, internal forces and deformations are induced. The objective of this book is to determine the induced stresses and strains, instead of focusing on internal forces and deformations (changes in lengths, angles, shapes, etc.). This is because the measured effect of a load on a specimen of the material depends on the cross-sectional area. In addition, changes in lengths and angles are measured relative to their initial or instantaneous values. It is the purpose of this book to determine the response of structural components to external loads as manifested by the induced stresses and strains. Elastic and plastic behaviors are considered using continuum mechanics theories. When loads are removed, the behavior is elastic if the component returns to its original shape. The behavior is called plastic if permanent deformations remain. Whether the behavior is elastic or plastic, the response is determined by studying three distinct aspects of the behavior as follows:

1.Equilibrium: This ensures that external and internal forces (or stresses) are in equilibrium. Basically, this requires the stresses in any structural component to satisfy six equations of statics in space (three equations of force equilibrium and three equations of moment equilibrium).

2.Geometry of deformation: Under the action of applied loads, structures deform as a result of changes in shape and volume. It is essential to consider the nature of the deformation in determining the response to external loads. This involves studying the geometry of deformation and determining the governing equations. In continuum mechanics, the relations between strains and displacements form the governing equations of deformation.

3.Mechanical behavior of the m...

Table of contents

• Cover
• Half Title
• Title Page
• Copyright Page
• Contents
• Preface
• Author
• 1. Introduction
• 2. Analysis of Stress
• 3. Analysis of Strain
• 4. Stress–Strain Relations
• 5. Torsion of Prismatic Bars
• 6. Two-Dimensional Problems
• 7. Other Elastoplastic Problems
• 8. Thermal Stresses
• 9. Three-Dimensional Problems
• 10. Three-Dimensional Thermal Stresses
• 11. Solutions to Selected Problems
• Index