Analysis of Shells and Plates

1. Front Matter

   Pages i-xiii

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2. Introduction

   • Phillip L. Gould

   Pages 1-15

3. Geometry

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   Pages 16-54

4. Equilibrium

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   Pages 55-69

5. Membrane Theory

   • Phillip L. Gould

   Pages 70-205

6. Deformations

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   Pages 206-226

7. Constitutive Laws, Boundary Conditions, and Displacements

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   Pages 227-260

8. Energy and Approximate Methods

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   Pages 261-271

9. Bending of Plates

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   Pages 272-371

10. Shell Bending and Instability

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    Pages 372-471

11. Conclusion

    • Phillip L. Gould

    Pages 472-476

12. Back Matter

    Pages 477-491

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The study ofthree-dimensional continua has been a traditional part of graduate education in solid mechanics for some time. With rational simplifications to the three-dimensional theory of elasticity, the engineering theories of medium-thin plates and of thin shells may be derived and applied to a large class of engi­ neering structures distinguished by a characteristically small dimension in one direction. Often, these theories are developed somewhat independently due to their distinctive geometrical and load-resistance characteristics. On the other hand, the two systems share a common basis and might be unified under the classification of Surface Structures after the German term Fliichentragwerke. This common basis is fully exploited in this book. A substantial portion of many traditional approaches to this subject has been devoted to constructing classical and approximate solutions to the governing equations of the system in order to proceed with applications. Within the context of analytical, as opposed to numerical, approaches, the limited general­ ity of many such solutions has been a formidable obstacle to applications involving complex geometry, material properties, and/or loading. It is now relatively routine to obtain computer-based solutions to quite complicated situations. However, the choice of the proper problem to solve through the selection of the mathematical model remains a human rather than a machine task and requires a basis in the theory of the subject.

• Fundament
• cement
• elasticity
• geometry
• instability
• mechanism
• mechanisms
• membrane
• nature
• plates
• shells
• stress
• structure
• surface
• surfaces

• Department of Civil Engineering, Washington University, St. Louis, USA

  Phillip L. Gould

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