Elasticity

by J. R. Barber

Overview

A first-year graduate text in linear elasticity, written with the practical engineering student in mind (as previous knowledge of solid mechanics, continuum mechanics, and mathematics is minimized). Barber (mechanical engineering, U. of Michigan-Ann Arbor) updates the 1991 edition with substantial new information on antiplane stress systems including Saint-Venant torsion and bending and an expanded section on three-dimensional problems in spherical and cylindrical coordinate systems including axisymmetric torsion of bars of non-uniform circular cross-section. The major improvements that have occurred in Maple and Mathematica are also put to use: abundant electronic material is available through an associated website and the volume includes abundant new end-of-chapter problems with a full set of solutions available. Annotation ©2003 Book News, Inc., Portland, OR

Product Details

ISBN-13:	9783031152146
Publisher:	Springer-Verlag New York, LLC
Publication date:	02/23/2023
Series:	Solid Mechanics and Its Applications , #172
Sold by:	Barnes & Noble
Format:	eBook
File size:	46 MB
Note:	This product may take a few minutes to download.

About the Author

J. R. Barber graduated in Mechanical Sciences from Cambridge University in 1963 and joined British Rail, who later sponsored his research at Cambridge between 1965 and 1968 on the subject of thermal effects in braking systems. In 1969 he became Lecturer and later Reader in Solid Mechanics at the University of Newcastle upon Tyne. In 1981 he moved to the University of Michigan, where he is presently Jon R. and Beverly S. Holt Professor of Engineering and Arthur F. Thurnau Professor of Mechanical Engineering and Applied Mechanics. He is a Chartered Engineer in the U.K., Fellow of the Institution of Mechanical Engineers, and has engaged extensively in consulting work in the field of stress analysis for engineering design.

He is author of three books (‘Elasticity’, ‘Intermediate Mechanics of Materials’ and ‘Contact Mechanics’) and over 200 articles in the fields of Elasticity, Thermoelasticity, Contact Mechanics, Tribology, Heat Conduction and Elastodynamics. He is a recipient of the Drucker Medal, the Ted Belytschko Applied Mechanics Award and the Mayo D. Hersey Award of ASME and the Archie Higdon Distinguished Educator Award of ASEE. He has served as Associate Editor of the ASME Journal of Applied Mechanics, Mathematical Problems in Engineering, and ASME Journal of Tribology, and is co-Editor of the Springer book series Solid Mechanics and its Applications, and a member of the editorial boards of the International Journal of Mechanical Sciences, the Journal of Thermal Stresses and Acta Tribologica.

Table of Contents

Part I. General Consideration.- Chapter 1. Introduction.- Chapter 2. Equilibrium and Compatibility.- Part II. Two-Dimensional Problems.- Chapter 3. Plane Strain and Plane Stress.- Chapter 4. Stress Function Formulation.- Chapter 5. Problems in Rectangular Coordinates.- Chapter 6. End Effects.- Chapter 7. Body Forces.- Chapter 8. Problems in Polar Coordinates.- Chapter 9. Calculation of Displacements.- Chapter 10. Curved Beam Problems.- Chapter 11. Wedge Problems.- Chapter 12. Plane Contact Problems.- Chapter 13. Forces, Dislocations and Cracks.- Chapter 14. Thermoelasticity.- Chapter 15. Antiplane Shear.- Chapter 16. Moderately Thick Plates.- Part III. End Loading of the Prismatic Bar.- Chapter 17. Torsion of a Prismatic Bar.- Chapter 18. Shear of a Prismatic Bar.- Part IV. Complex-Variable Formulation.- Chapter 19. Prelinary Mathematical Results.- Chapter 20. Application to Elasticity Problems.- Part V. Three Dimensional Problems.- Chapter 21. Displacement Function Solutions.- Chapter 22. The Boussinesq Potentials.- Chapter 23. Thermoelastic Displacement Potentials.- Chapter 24. Singular Solutions.- Chapter 25. Spherical Harmonics.- Chapter 26. Cylinders and Circular Plates.- Chapter 27. Problems in Spherical Coordinates.- Chapter 28. Eigenstrains and Inclusions.- Chapter 29. Axisymmetric Torsion.- Chapter 30. The Prismatic Bar.- Chapter 31. Frictionless Contact.- Chapter 32. The Boundary-value Problem.- Chapter 33. The Penny-shaped Crack.- Chapter 34. Hertzian Contact.- Chapter 35. The Interface Crack.- Chapter 36. Anisotropic Elasticity.- Chapter 37. Variational Methods.- Chapter 38. The Reciprocal Theorem.

Editorial Reviews

From the reviews of the second edition:

"The second edition includes new three chapters on antiplane stress systems, Saint-Venant torsion and bending and an expanded section on three-dimensional problems in spherical and cylindrical coordination systems … . The topics covered are chosen with a view to modern research applications in fracture mechanics, composite materials, tribology and numerical methods. … Most of the text should be readily intelligible to a reader with an undergraduate background of one or two courses in elementary mechanics of materials and a rudimentary knowledge of partial differentiation." (Vasily A. Chernecky, Zentralblatt MATH, Vol. 1068 (19), 2005)

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