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The Resource Shell theory, F. Niordson

Shell theory, F. Niordson

Label
Shell theory
Title
Shell theory
Statement of responsibility
F. Niordson
Creator
Subject
Language
engdan
Member of
Series statement
North-Holland series in applied mathematics and mechanics
Series volume
v. 29
Shell theory, F. Niordson
Label
Shell theory, F. Niordson
Link
http://libproxy.rpi.edu/login?url=http://www.sciencedirect.com/science/bookseries/01675931/29
Publication
Note
Translated from Danish lecture notes, with changes and additions
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Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Front Cover; Shell Theory; Copyright Page; Dedication; Preface; Table of Contents; Introduction; Chapter 1. Tensor analysis; 1. Introduction; 2. Coordinate transformations; 3. Contravariant and covariant vectors; 4. Tensors; 5. Algebra of tensors; 6. The fundamental tensor; 7. Associated tensors; 8. Magnitude; 9. Covariant differentiation; 10. The Riemann-Christoffel tensor; 11. The order of covariant differentiation for tensors; 12. Contravariant differentiation; 13. Summary; Bibliography; Chapter 2. The geometry of the middle-surface; 1. Introduction
  • 2. The first fundamental form of a surface3. Normal coordinates; 4. Second fundamental form of a surface; 5. Invariants of curvature; 6. The inverse problem; 7. The equations of Codazzi; 8. Surface and volume element; 9. Coordinates of principal curvature; 10. Summary; Bibliography; Chapter 3. The kinematics of a surface; 1. Introduction; 2. Displacements; 3. Stretching of the middle-surface; 4. Rotation of an element of the shell; 5. Bending of the middle-surface; 6. Equations of compatibility; 7. Summary; Chapter 4. The statics of a shell; 1. Introduction; 2. An element of the shell
  • 3. The divergence theorem4. Statically equivalent forces and moments; 5. External loads; 6. Equations of equilibrium; 7. Summary; Chapter 5. Effective forces and moments; 1. Introduction; 2. The principle of virtual work; 3. Equations of equilibrium; 4. Summary; Chapter 6. Boundary conditions; 1. Introduction; 2. External forces; 3. Boundary conditions; 4. Stress-distribution; 5. Summary; Chapter 7. Stress-strain relations; 1. Introduction; 2. The elastic energy; 3. The mathematical problem; 4. Summary; Chapter 8. The static-geometric analogy; 1. Introduction
  • 2. Alternative measures of bending3. Static-geometric analogy; 4. Stress-functions; 5. Summary and discussion; Bibliography; Chapter 9. Plates; 1. Introduction; 2. Separation of the plate problem; 3. In-plane loaded plates; 4. Bending theory of plates; 5. Bending of plates in rectangular coordinates; 6. Corners; 7. Bending of a simply supported rectangular plate; 8. The clamped and uniformly loaded elliptical plate; 9. Vibrating plates; 10. Energy methods; 11. Bending of a clamped rectangular plate; 12. Lowest natural frequency of a skew plate; 13. Bending of plates in polar coordinates
  • 14. Axisymmetrical bending of a circular plate15. Free vibrations of a circular plate; 16. Behaviour at a corner of a simply supported plate; Bibliography; Chapter 10. The membrane state; 1. Introduction; 2. The membrane state in orthogonal coordinates; 3. Axisymmetrical shells; 4. Drop container; 5. Domes; 6. Conditions at the apex; 7. Conditions at the base; 8. Spherical dome of uniform thickness; 9. Dome of uniform strength; 10. Domes with given circumferential stresses; 11. Deformation of axisymmetrical shells in the membrane state
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{'f': 'http://opac.lib.rpi.edu/record=b4170842'}
Extent
1 online resource (xiv, 408 pages)
File format
unknown
Form of item
online
Isbn
9780444599094
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote

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