Elastic Deformations of Constrained Cylinders

Abstract

The boundary-value problem for a constrained elastic cylinder under axial load is solved for the correct boundary conditions, in terms of set of infinite orthogonal Bessel and trigonometric functions. The orthogonality conditions are chosen on the basis of surface deformations noted during the experiments. Analysis is used in predicting apparent modulus for materials and compared with available experimental data. The agreement is found to be extremely good. The influence of Poisson’s ratio on apparent modulus is discussed.