Book contents
- Frontmatter
- Contents
- PREFACE
- PREFACE TO THE FIRST EDITION
- CHAPTER I INTRODUCTION
- CHAPTER II THE GENERIC EQUATIONS OF THREE-DIMENSIONAL CONTINUUM MECHANICS
- CHAPTER III LONGITUDINAL MOTION OF STRAIGHT RODS WITH BISYMMETRIC CROSS SECTIONS (BIRODS)
- CHAPTER IV CYLINDRICAL MOTION OF INFINITE CYCLINDRICAL SHELLS (BEAMSHELLS)
- CHAPTER V TORSIONLESS, AXISYMMETRIC MOTION OF SHELLS OF REVOLUTION (AXISHELLS)
- CHAPTER VI SHELLS SUFFERING ONE-DIMENSIONAL STRAINS (UNISHELLS)
- CHAPTER VII GENERAL NONLINEAR MEMBRANE THEORY (INCLUDING WRINKLING)
- CHAPTER VIII GENERAL SHELLS
- APPENDICES
- INDEX
APPENDICES
Published online by Cambridge University Press: 06 January 2010
- Frontmatter
- Contents
- PREFACE
- PREFACE TO THE FIRST EDITION
- CHAPTER I INTRODUCTION
- CHAPTER II THE GENERIC EQUATIONS OF THREE-DIMENSIONAL CONTINUUM MECHANICS
- CHAPTER III LONGITUDINAL MOTION OF STRAIGHT RODS WITH BISYMMETRIC CROSS SECTIONS (BIRODS)
- CHAPTER IV CYLINDRICAL MOTION OF INFINITE CYCLINDRICAL SHELLS (BEAMSHELLS)
- CHAPTER V TORSIONLESS, AXISYMMETRIC MOTION OF SHELLS OF REVOLUTION (AXISHELLS)
- CHAPTER VI SHELLS SUFFERING ONE-DIMENSIONAL STRAINS (UNISHELLS)
- CHAPTER VII GENERAL NONLINEAR MEMBRANE THEORY (INCLUDING WRINKLING)
- CHAPTER VIII GENERAL SHELLS
- APPENDICES
- INDEX
Summary
Guide to Notation
Shell theory uses many symbols. Some have become standard (e.g., N's for stress resultants, M's for stress couples, Q's for transverse shear stress resultants), but others vary from writer to writer. Below, we give a few guidelines to our scheme of notation and list some of the more important global symbols. We have not attempted to list local symbols, i.e., symbols peculiar to a section or subsection. However, we warn the reader that some global symbols have a different meaning locally. In part, this was forced on us because of the limited number of alphabets and fonts available on our laser printer and we sometimes had to use other than optimal symbols.
General scheme of notation
Bold letters (e.g., F) denote vectors.
Script letters (e.g, F) usually denote lines, regions, matrices, column vectors, functionals, and operators.
A comma followed by a subscript (as in F,θ) denotes differentiation with respect to the subscript.
A prime (as in F') denotes differentiation with respect to undeformed arc length σ.
A dot [as in or] denotes differentiation with respect to time t.
An overbar (as in) denotes a quantity associated with the deformed configuration. The same quantity, without the overbar, is associated with the undeformed configuration.
A hat (as in) denotes a prescribed quantity.
- Type
- Chapter
- Information
- The Nonlinear Theory of Elastic Shells , pp. 511 - 516Publisher: Cambridge University PressPrint publication year: 1998