Elasticity : Tensor, Dyadic, and Engineering Approaches

Format:

Book

Author/Creator:

Chou, Pei Chi.

Contributor:

Pagano, Nicholas J.

Series:

Dover Civil and Mechanical Engineering

Language:

English

Subjects (All):

Elasticity.

Physical Description:

1 online resource (532 p.)

Edition:

1st ed.

Place of Publication:

Newburyport : Dover Publications, 2013.

Language Note:

English

Summary:

<DIV><DIV>Exceptionally clear text treats elasticity from engineering and mathematical viewpoints. Comprehensive coverage of stress, strain, equilibrium, compatibility, Hooke's law, plane problems, torsion, energy, stress functions, more. 114 illustrations. 1967 edition.</DIV></DIV>

Contents:

DOVER CLASSICS OF SCIENCE AND MATHEMATICS; Title Page; Copyright Page; Dedication; Preface; Table of Contents; Introduction; 1 - Analysis of Stress; 1.1. Introduction; 1.2. Body Forces, Surface Forces, and Stresses; 1.3. Uniform State of Stress (Two-Dimensional); 1.4. Principal Stresses; 1.5. Mohr's Circle of Stress; 1.6. State of Stress at a Point; 1.7. Differential Equations of Equilibrium; 1.8. Three-Dimensional State of Stress at a Point; 1.9. Summary; PROBLEMS; 2 - Strain and Displacement; 2.1. Introduction; 2.2. Strain-Displacement Relations; 2.3. Compatibility Equations

2.4. State of Strain at a Point2.5. General Displacements; 2.6. Principle of Superposition; 2.7. Summary; PROBLEMS; 3 - Stress-Strain Relations; 3.1. Introduction; 3.2. Generalized Hooke's Law; 3.3. Bulk Modulus of Elasticity; 3.4. Summary; PROBLEMS; 4 - Formulation of Problems in Elasticity; 4.1. Introduction; 4.2. Boundary Conditions; 4.3. Governing Equations in Plane Strain Problems; 4.4. Governing Equations in Three-Dimensional Problems; 4.5. Principle of Superposition; 4.6. Uniqueness of Elasticity Solutions; 4.7. Saint-Venant's Principle; 4.8. Summary; PROBLEMS

5 - Two-Dimensional Problems5.1. Introduction; 5.2. Plane Stress Problems; 5.3. Approximate Character of Plane Stress Equations; 5.4. Polar Coordinates in Two-Dimensional Problems; 5.5. Axisymmetric Plane Problems; 5.6. The Semi-Inverse Method; PROBLEMS; 6 - Torsion of Cylindrical Bars; 6.1. General Solution of the Problem; 6.2. Solutions Derived from Equations of Boundaries; 6.3. Membrane (Soap Film) Analogy; 6.4. Multiply Connected Cross Sections; 6.5. Solution by Means of Separation of Variables; PROBLEMS; 7 - Energy Methods; 7.1. Introduction; 7.2. Strain Energy

7.3. Variable Stress Distribution and Body Forces7.4. Principle of Virtual Work and the Theorem of Minimum Potential Energy; 7.5. Illustrative Problems; 7.6. Rayleigh-Ritz Method; PROBLEMS; 8 - Cartesian Tensor Notation; 8.1. Introduction; 8.2. Indicial Notation and Vector Transformations; 8.3. Higher-Order Tensors; 8.4. Gradient of a Vector; 8.5. The Kronecker Delta; 8.6. Tensor Contraction; 8.7. The Alternating Tensor; 8.8. The Theorem of Gauss; PROBLEMS; 9 - The Stress Tensor; 9.1. State of Stress at a Point; 9.2. Principal Axes of the Stress Tensor; 9.3. Equations of Equilibrium

9.4. The Stress Ellipsoid9.5. Body Moment and Couple Stress; PROBLEMS; 10 - Strain, Displacement, and the Governing Equations of Elasticity; 10.1. Introduction; 10.2. Displacement and Strain; 10.3. Generalized Hooke's Law; 10.4. Equations of Compatibility; 10.5. Governing Equations in Terms of Displacement; 10.6. Strain Energy; 10.7. Governing Equations of Elasticity; PROBLEMS; 11 - Vector and Dyadic Notation in Elasticity; 11.1. Introduction; 11.2. Review of Basic Notations and Relations in Vector Analysis; 11.3. Dyadic Notation; 11.4. Vector Representation of Stress on a Plane

11.5. Equations of Transformation of Stress

Notes:

Description based upon print version of record.

Description based on publisher supplied metadata and other sources.

ISBN:

9780486136141

0486136140

9781628708196

1628708190

OCLC:

868270250