In this note, it is pointed out that simple modified Michell’s general solutions may treat the torsionless axisymmetric problems with both axial and radial body forces in elasticity and are more convenient in some cases contrast to Love’s solutions.
On the Completeness of Solutions of Boussinesq, Timpe, Love and Michell in Axisymmetric Elasticity,”
Fung, Y. Z., 1965, Foundations of Solid Mechanics, Prentice-Hall, Englewood Cliffs NJ.
Love’s Stress Function for Torsionless Axisymmetric Deformation of Elastically Isotropic Bodies With Body Forces,”
ASME J. Appl. Mech.,
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