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Analysis of shells and plates

Author: Phillip L Gould
Publisher: New York : Springer-Verlag, ©1988.
Edition/Format:   Print book : EnglishView all editions and formats
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Document Type: Book
All Authors / Contributors: Phillip L Gould
ISBN: 0387965858 9780387965857 3540965858 9783540965855
OCLC Number: 16405164
Description: xiii, 491 pages : illustrations ; 24 cm
Contents: 1. Introduction.- 1.1 Role of the Theory of Elasticity.- 1.2 Engineering Theories.- 1.3 Load Resistance Mechanisms.- 1.4 References.- 1.5 Exercises.- 2. Geometry.- 2.1 Curvilinear Coordinates.- 2.2 Middle Surface Geometry.- 2.3 Unit Tangent Vectors and Principal Directions.- 2.4 Second Quadratic Form of the Theory of Surfaces.- 2.5 Principal Radii of Curvature.- 2.6 Gauss-Codazzi Relations.- 2.7 Gaussian Curvature.- 2.8 Specialization of Shell Geometry.- 2.9 References.- 2.10 Exercises.- 3. Equilibrium.- 3.1 Stress Resultants and Couples.- 3.2 Equilibrium of the Shell Element.- 3.3 Equilibrium Equations for Shells of Revolution.- 3.4 Equilibrium Equations for Plates.- 3.5 Nature of the Applied Loading.- 3.6 References.- 3.7 Exercises.- 4. Membrane Theory.- 4.1 Simplification of the Equilibrium Equations.- 4.2 Applicability of Membrane Theory.- 4.3 Shells of Revolution.- 4.4 Shells of Translation.- 4.5 References.- Appendix 4A. Summary of Surface Loading and Stress Resultants for Quasistatic Seismic Loading on Hyperboloidal Shells of Revolution.- 4.6 Exercises.- 5. Deformations.- 5.1 General.- 5.2 Displacement.- 5.3 Strain.- 5.4 Strain-Displacement Relations for Shells of Revolution.- 5.5 Strain-Displacement Relations for Plates.- 5.6 References.- 5.7 Exercises.- 6. Constitutive Laws, Boundary Conditions, and Displacements.- 6.1 Constitutive Laws.- 6.2 Boundary Conditions.- 6.3 Membrane Theory Displacements.- 6.4 References.- 6.5 Exercises.- 7. Energy and Approximate Methods.- 7.1 General.- 7.2 Strain Energy.- 7.3 Potential Energy of the Applied Loads.- 7.4 Energy Principles and Rayleigh-Ritz Methods.- 7.5 Galerkin Method.- 7.6 References.- 7.7 Exercises.- 8. Bending of Plates.- 8.1 Governing Equations.- 8.2 Rectangular Plates.- 8.3 Circular Plates.- 8.4 Plates of Other Shapes.- 8.5 Energy Method Solutions.- 8.6 Extensions of the Theory of Plates.- 8.7 Instability and Finite Deformation.- 8.8 References.- 8.9 Exercises.- 9. Shell Bending and Instability.- 9.1 General.- 9.2 Circular Cylindrical Shells.- 9.3 Shells of Revolution.- 9.4 Shells of Translation.- 9.5 Instability and Finite Deformations.- 9.6 References.- 9.7 Exercises.- 10. Conclusion.- 10.1 General.- 10.2 Proportioning.- 10.3 Future Applications of Thin Shells.- 10.4 References.
Responsibility: Phillip L. Gould.
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