Abstract

This paper deals with a method of approach by means of three stress functions to axially symmetric problems of the dynamical theory of elasticity in cylindrical co-ordinates. The principal results are as follows : (1) The solution presented in the paper is a complete one for problems associated with both torsional deformations and body forces as well. (2) In the case of no body forces, it is possible to drop a stress function (not arbitrary) form three stress functions without loss of generality. (3) Stress functions for dynamical body force problems and for initial value problems are presented and examples of their application are investigated. (4) As a special case of the solution shown in the paper Love's solution for elastostatics can be obtained.

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