Civil Engineering Association

Since the first edition of this book was published, there have been major improvements in symbolic mathematical languages such as Maple and Mathematica and this has opened up the possibility of solving considerably more complex and hence interesting and realistic elasticity problems as classroom examples. It also enables the student to focus on the formulation of the problem (e.g. the appropriate governing equations and boundary conditions) rather than on the algebraic manipulations, with a consequent improvement in insight into the subject and in motivation. During the past 10 years I have developed files in Maple and Mathematica to facilitate this process, notably electronic versions of the Tables in the present Chapters 19 and 20 and of the recurrence relations for generating spherical harmonics. One purpose of this new edition is to make this electronic material available to the reader through the Kluwer website . I hope that readers will make use of this resource and report back to me any aspects of the electronic material that could benefit from improvement or extension. Some hints about the use of this material are contained in Appendix A. Those who have never used Maple or Mathematica will find that it takes only a few hours of trial and error to learn how to write programs to solve boundary value problems in elasticit

TABLE OF CONTENTS

I: GENERAL CONSIDERATIONS
CHAPTER 1 INTRODUCTION
CHAPTER 2 EQUILIBRIUM AND COMPATIBILITY

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

III: END LOADING OF THE PRISMATIC BAR
CHAPTER 16 TORSION OF A PRISMATIC BAR
CHAPTER 17 SHEAR OF A PRISMATIC BAR

IV: THREE-DIMENSIONAL PROBLEMS
CHAPTER 18 DISPLACEMENT FUNCTION SOLUTIONS
CHAPTER 19 THE BOUSSINESQ POTENTIALS
CHAPTER 20 THERMOELASTIC DISPLACEMENT POTENTIALS
CHAPTER 21 SINGULAR SOLUTIONS
CHAPTER 22 SPHERICAL HARMONICS
CHAPTER 23 CYLINDERS AND CIRCULAR PLATES
CHAPTER 24 PROBLEMS IN SPHERICAL COORDINATES
CHAPTER 25 AXISYMMETRIC TORSION
CHAPTER 26 FRICTIONLESS CONTACT
CHAPTER 27 THE BOUNDARY-VALUE PROBLEM
CHAPTER 28 THE PENNY-SHAPED CRACK
CHAPTER 29 THE INTERFACE CRACK
CHAPTER 30 THE RECIPROCAL THEOREM

This is a first year graduate textbook in Linear Elasticity. It is written with the practical engineering reader in mind, dependence on previous knowledge of Solid Mechanics, Continuum Mechanics or Mathematics being minimized. 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. Emphasis is placed on engineering applications of elasticity and examples are generally worked through to final expressions for the stress and displacement fields in order to explore the engineering consequences of the results.

The Topics covered were chosen with a view to modern research applications in Fracture Mechanics, Composite Materials, Tribology and Numerical Methods. Thus, significant attention is given to crack and contact problems, problems involving interfaces between dissimilar media, thermo elasticity, singular asymptotic stress fields and three-dimensional problems.

This second edition includes new chapters on antiplane stress systems, 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.

It also includes over 200 end-of-chapter problems, which are expressed wherever possible in the form they would arise in engineering - i.e. as a body of a given geometry subjected to prescribed loading - instead of inviting the student to 'verify' that a given candidate stress function is appropriate to the problem. Solution of these problems is considerably facilitated by the use of modern symbolic mathematical languages such as Maple® and Mathematica® and electronic files and hints on this method of solution can be accessed at the web site
Paperback: 436 pages
Publisher: Springer; 2nd edition (February 2003)
ISBN-10: 1402009666
ISBN-13: 978-1402009662

7.4 MB

Mirror Links:

DJVU|RAR 2.80|2.78 MB

Mirror Links:

DJVU|RAR 2.80|2.78 MB

Elasticity (Solid Mechanics and Its Applications) - 3rd Revised Edition

This is a first year graduate textbook in Linear Elasticity. It has been written with the practical engineering reader in mind, with minimal previous knowledge of solid mechanics, continuum mechanics or mathematics required. Emphasis is placed on engineering applications of elasticity and examples are generally worked through to final expressions for the stress and displacement fields in order to explore the engineering consequences of the results. Now in its third edition, detailed improvements occur throughout the work, some suggested by users of earlier editions. The range of topics treated has been expanded to include, for example, complex variable methods, variational methods and three-dimensional plate and beam solutions. The work contains chapters on antiplane stress systems, 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. Also, there are now over 300 end-of-chapter problems, which are expressed wherever possible in the form they would arise in engineering - i.e. as a body of a given geometry subjected to prescribed loading - instead of inviting the student to 'verify' that a given candidate stress function is appropriate to the problem. Solution of these problems is considerably facilitated by the use of modern symbolic mathematical languages such as Maple® and Mathematica® .

Elasticity - 3rd Revised Edition

2nd Edition :



PDF : 9.0 mb