ELASTICITY: THEORY AND APPLICATIONS 2E

Elasticity: Theory and Applications, now in a revised and updated second edition, has long been used as a textbook by seniors and graduate students in civil, mechanical, and biomedical engineering, since the first edition was published in 1974. The kinematics of continuous media and the analysis of stress are introduced through the concept of linear transformation of points and brought together to study in great detail the linear theory of elasticity as well as its application to a variety of practical problems. Elastic stability, the theory of thin plates, and the theory of thin shells are covered. Complex variables are introduced and used to solve two dimensional and fracture-related problems. Through theory, solved examples and problems, this authoritative book helps the student acquire the foundation needed to pursue advanced studies in all the branches of continuum mechanics. It also helps practitioners understand the source of many of the formulas they use in their designs. A solutions manual is available to instructors.

Part I KINEMATICS OF CONTINUOUS MEDIA (Displacement, Deformation, Strain)
Chapter 1 Introduction to the Kinematics of Continuous Media
Chapter 2 Review of Matrix Algebra
Chapter 3 Linear Transformation of Points
Chapter 4 General Analysis of Strain in Cartesian Coordinates
Chapter 5 Cartesian Tensors
Chapter 6 Orthogonal Curvilinear Coordinates

Part II THEORY OF STRESS
Chapter 7 Analysis of Stress

Part III THE THEORY OF ELASTICITY - APPLICATIONS TO ENGINEERING PROBLEMS
Chapter 8 Elastic Stress-Strain Relations and Formulation of Elasticity Problems
Chapter 9 Solution of Elasticity Problems by Potentials
Chapter 10 The Torsion Problem
Chapter 11 Thick Cylinders, Disks, and Spheres
Chapter 12 Straight Simple Beams
Chapter 13 Curved Beams
Chapter 14 The Semi-Infinite Elastic Medium and Related Problems
Chapter 15 Energy Principles and Introduction To Variational Methods
Chapter 16 Elastic Stability: Columns and Beam-Columns
Chapter 17 Bending of Thin Flat Plates
Chapter 18 Introduction to the Theory of Thin Shells
Chapter 19 Solutions of Elasticity Problems by Means of Complex Variables

References
Addendum
Index