Analysis of Shells and Plates

  • Phillip L. Gould

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Phillip L. Gould
    Pages 1-15
  3. Phillip L. Gould
    Pages 16-54
  4. Phillip L. Gould
    Pages 55-69
  5. Phillip L. Gould
    Pages 70-205
  6. Phillip L. Gould
    Pages 206-226
  7. Phillip L. Gould
    Pages 261-271
  8. Phillip L. Gould
    Pages 272-371
  9. Phillip L. Gould
    Pages 372-471
  10. Phillip L. Gould
    Pages 472-476
  11. Back Matter
    Pages 477-491

About this book


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

Authors and affiliations

  • Phillip L. Gould
    • 1
  1. 1.Department of Civil EngineeringWashington UniversitySt. LouisUSA

Bibliographic information