1. Uniform shallow arches of minimum weight and minimum maximum deflection
2. Christensen, E. N. "Optimal Design of Shallow Arches Against Buckling," Ph.D. Dissertation,Rensselear Polytechnic Institute, Troy,N.Y., 1975.
3. 4Caldwell, H. M. "Optimization of Shallow Arches Against Snap-Through Buckling," Ph.D. Dissertation,Georgia Institute of Technology, Atlanta, 1977.