Suggested reading

The following references provide a more in-depth treatment of the theoretical and computational aspects of shell theory.

Basic shell theory

  • Timoshenko, S., Strength of Materials: Part II, Krieger Publishing Co., 1958.

  • Timoshenko, S. and S. W. Krieger, Theory of Plates and Shells, McGraw-Hill, Inc., 1959.

  • Ugural, A. C., Stresses in Plates and Shells, McGraw-Hill, Inc., 1981.

Basic computational shell theory

  • Cook, R. D., D. S. Malkus, and M. E. Plesha, Concepts and Applications of Finite Element Analysis, John Wiley & Sons, 1989.

  • Hughes, T. J. R., The Finite Element Method, Prentice-Hall, Inc., 1987.

Advanced shell theory

  • Budiansky, B., and J. L. Sanders, “On the `Best' First-Order Linear Shell Theory,” Progress in Applied Mechanics, The Prager Anniversary Volume, 129–140, 1963.

Advanced computational shell theory

  • Ashwell, D. G., and R. H. Gallagher, Finite Elements for Thin Shells and Curved Members, John Wiley & Sons, 1976.

  • Hughes, T. J. R., T. E. Tezduyar, “Finite Elements Based upon Mindlin Plate Theory with Particular Reference to the Four-Node Bilinear Isoparametric Element,” Journal of Applied Mechanics, 587–596, 1981.

  • Simo, J. C., D. D. Fox, and M. S. Rifai, “On a Stress Resultant Geometrically Exact Shell Model. Part III: Computational Aspects of the Nonlinear Theory,” Computer Methods in Applied Mechanics and Engineering, vol. 79, 21–70, 1990.