Torsion of Nonhomogeneous Solid

by Manoon F. Chuaprasert, Struct. Engr.; Hardesty & Hanover, New York, NY,
Mumtaz K. Kassir, (M.ASCE), Assoc. Prof. of Civ. Engrg.; The City College of The City Univ. of New York, New York, NY,

Serial Information: Journal of the Engineering Mechanics Division, 1973, Vol. 99, Issue 4, Pg. 703-714

Document Type: Journal Paper


A solution is given for the Reissner-Sagoci problem for a nonhomogeneous half-space and semi-infinite cylinder in each of which the shear modulus is assumed to vary with the depth. The formulation is reduced to Fredholm integral equations of the second kind. Numerical results have been presented for the physical quantities of interest. Some of these results indicate a marked difference from the corresponding response of a homogeneous isotropic solid. The analysis also reveals that the classical square root singularity in the shear stresses retains this order in the nonhomogeneous solid under consideration in contrast with a material possessing a modulus, in which the singularity is a function of a constant.

Subject Headings: Shear modulus | Torsion | Homogeneity | Shear stress | Stress analysis | Half space | Cylinders | Integrals

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