Upper and lower bounds for the shear stress in the Saint-Venant theory of flexure

Popov, E. P., Introduction to Mechanics of Solids. Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1968

Wheeler, L. and Fu, S.-L., Stress bounds for twisted bars of strip cross section, Int. J. Solids Structures, 10 (1974) 461–468

Wheeler, L., Stress bounds for the torsion of tubes of uniform wall thickness, J. of Elasticity, 4 (1974) 281–292

Payne, L. E., Upper and lower bounds for the center of flexure, J. of Research of the National Bureau of Standards, (1960) Vol. 64B, No. 2, pp. 105–111

Timoshenko, S. P. and Goodier, J. N., Theorie of Elasticity, 3rd edn. McGraw-Hill Book Co., New York, 1970

Courant, R. and Hilbert, D., Methods of Mathematical Physics, Vol. 2. Interscience Publishers, New York, 1962

Goetz, A., Introduction to Differential Geometry. Addison Wesley Publishing Company, Inc., Reading Massachusetts, 1970

Wheeler, L. and Horgan, C. O., A two-dimensional Saint-Venant principle for second-order linear elliptic equations, Quart. Appl. Math. (in press)

Littman, W., A strong maximum principle for weakly L-subharmonic functions, J. Math. and Mech., 8 (1959) 761–770