Abstract
This peper deals with a theoretical treatment of elastic behavior for a medium with Kassir's nonhomogeneous material property, which is defined by the relation [numerical formula], i.e., shear modulus of elasticity G varies with the dimensionless axial coordinate z by the power product form, arbitracily. The fundamental differential equation for such nonhomogeneous medium was previously proposed by Kassir, and is given by a second-order partial differential equation. However, it is found that this basic equation is not sufficient in general for solving boundary value problems. Making use of the fundamental equation system for such a nonhomogeneous medium, which was previously proppsed by us, axisymmetric problems for a semi-infinite body subjected to an arbitrarily shaped distributed load and a concentrated load on its boundary surface are developed theoretically. Numerical calculations are carried out for several cases taking into account the variation of a nonhomogeneous parameter m. and the numerical results for displacements and stress components are shown in graphical form.
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