"Elasticity is one of the crowning achievements of Western culture!" ex claimed my usually reserved colleague Professor George Zahalak during a meeting to discuss the graduate program in Solid Mechanics. Although my thoughts on the theory of elasticity had not been expressed in such noble terms, it was the same admiration for the creative efforts of the premier physicists, mathematicians and mechanicians of the 19th and 20th centuries that led me to attempt to popularize the basis of solid mechanics in this introductory form. The book is intended to provide a thorough grounding in tensor-based theory of elasticity, which is rigorous in treatment but limited in scope. It is directed to advanced undergraduate and graduate students in civil, mechani calor aeronautical engineering who may ultimately pursue more applied studies. It is also hoped that a few may be inspired to delve deeper into the vast literature on the subject. A one-term course based on this material may replace traditional Advanced Strength of Materials in the curriculum, since many of the fundamental topics grouped under that title are treated here, while those computational techniques that have become obsolete due to the availability of superior, computer-based numerical methods are omitted. Little, if any, originality is claimed for this work other than the selection, organization and presentation of the material. The principal historical con tributors are noted in the text and several modern references are liberally cited. This applications-oriented introduction to the theory of elasticity fills an important gap in the field of solid mechanics. The book is intended to provide a thorough grounding in the tensor-based theory of elasticity for students of mechanical, civil, materials or aeronautical engineering. Students will thus not only be able to apply the basic notions of mechanics to such important topics as stress analysis, they will also acquire the necessary background for more advanced work in elasticity, plasticity, shell theory, composite materials and finite element mechanics. This second edition has been thoroughly revised and brought up to date. New chapters discuss the bending of thin plates, time-dependent effects, and strength and failure criteria. Front Matter....Pages i-xiii Introduction and Mathematical Preliminaries....Pages 1-12 Traction, Stress and Equilibrium....Pages 13-38 Deformations....Pages 39-54 Material Behavior....Pages 55-66 Formulation, Uniqueness and Solution Strategies....Pages 67-75 Extension, Bending and Torsion....Pages 76-106 Two-Dimensional Elasticity....Pages 107-139 Bending of Thin Plates....Pages 140-154 Time-Dependent Effects....Pages 155-179 Energy Principles....Pages 180-201 Strength and Failure Criteria....Pages 202-222 Something New....Pages 223-224 Back Matter....Pages 225-237 Preface Introduction and Mathematical Preliminaries Traction, Stress and Equilibrium Deformations Material Behavior Formulation, Uniqueness and Solution Strategies Extension, Bending and Torsion Two-Dimensional Elasticity Bending of Thin Plates Time-Dependent Effects Energy Principles Strength and Failure Criteria Something New Index.
