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.