Book contents
- Frontmatter
- Contents
- Preface
- List of symbols
- 1 Introduction
- 2 Generalised Hooke's law for an element of a shell
- 3 Cylindrical shells under symmetric loading
- 4 Purely ‘equilibrium’ solutions for shells: the membrane hypothesis
- 5 The geometry of curved surfaces
- 6 Geometry of distortion of curved surfaces
- 7 Displacements of elastic shells stressed according to the membrane hypothesis
- 8 Stretching and bending in cylindrical and nearly-cylindrical shells
- 9 Problems in the behaviour of cylindrical and nearly-cylindrical shells subjected to non-symmetric loading
- 10 Cylindrical shell roofs
- 11 Bending stresses in symmetrically-loaded shells of revolution
- 12 Flexibility of axisymmetric bellows under axial loading
- 13 Curved tubes and pipe-bends
- 14 Buckling of shells: classical analysis
- 15 Buckling of shells: non-classical analysis
- 16 The Brazier effect in the buckling of bent tubes
- 17 Vibration of cylindrical shells
- 18 Shell structures and the theory of plasticity
- Appendices
- 1 Theorems of structural mechanics
- 2 ‘Corresponding’ load and deflection variables
- 3 Rayleigh's principle
- 4 Orthogonal functions
- 5 Force-like and stress-like loads
- 6 The ‘static-geometric analogy’
- 7 The area of a spherical polygon
- 8 The ‘sagitta’ of an arc
- 9 Rigidity of polyhedral frames
- 10 Fourier series
- 11 Suggestions for further reading
- Answers to selected problems
- References
- Index
11 - Suggestions for further reading
Published online by Cambridge University Press: 02 February 2010
- Frontmatter
- Contents
- Preface
- List of symbols
- 1 Introduction
- 2 Generalised Hooke's law for an element of a shell
- 3 Cylindrical shells under symmetric loading
- 4 Purely ‘equilibrium’ solutions for shells: the membrane hypothesis
- 5 The geometry of curved surfaces
- 6 Geometry of distortion of curved surfaces
- 7 Displacements of elastic shells stressed according to the membrane hypothesis
- 8 Stretching and bending in cylindrical and nearly-cylindrical shells
- 9 Problems in the behaviour of cylindrical and nearly-cylindrical shells subjected to non-symmetric loading
- 10 Cylindrical shell roofs
- 11 Bending stresses in symmetrically-loaded shells of revolution
- 12 Flexibility of axisymmetric bellows under axial loading
- 13 Curved tubes and pipe-bends
- 14 Buckling of shells: classical analysis
- 15 Buckling of shells: non-classical analysis
- 16 The Brazier effect in the buckling of bent tubes
- 17 Vibration of cylindrical shells
- 18 Shell structures and the theory of plasticity
- Appendices
- 1 Theorems of structural mechanics
- 2 ‘Corresponding’ load and deflection variables
- 3 Rayleigh's principle
- 4 Orthogonal functions
- 5 Force-like and stress-like loads
- 6 The ‘static-geometric analogy’
- 7 The area of a spherical polygon
- 8 The ‘sagitta’ of an arc
- 9 Rigidity of polyhedral frames
- 10 Fourier series
- 11 Suggestions for further reading
- Answers to selected problems
- References
- Index
Summary
Most of the references which I have cited are papers in journals, papers in proceedings of conferences, and sections of books. These journals, volumes of proceedings and books are all sources of further reading on the theory of shell structures. The following are some specific suggestions for further study.
The history of the subject is discussed from different viewpoints by Naghdi (1972) and Sechler (1974); and is also sketched by Flügge (1973, Bibliography).
The application of shell theory to practical problems in the aerospace field is described well by Babel, Christensen & Dixon (1974) and Bushnell (1981).
In his standard text on finite-element methods Zienkiewicz (1977) includes three chapters (13, 14, 16) on different types of finite-element calculation for shell structures.
A good example of the application of the membrane hypothesis to a shell of less simple form than those in chapter 4 is given by Martin & Scriven (1961).
Steele (1975) has written one of the few papers in the literature which uses change of Gaussian curvature as a variable for the description of distortion of surfaces (cf. chapter 6). His paper is concerned with the formation of a non-shallow shell (namely a cooking-pot) from a flat sheet by a process in which non-uniform surface stretching is imparted to the surface by beating.
For a discussion of non-symmetric behaviour of various non-cylindrical shells (cf. chapter 9) see Seide (1975).
Limit analysis (Chapter 18) was applied to the bending of curved pipes by Calladine (1974b).
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- Chapter
- Information
- Theory of Shell Structures , pp. 743Publisher: Cambridge University PressPrint publication year: 1983