二次元弾性論の変位関数と複素応力関数の関係

抄録

This paper is concerned with the methods of solution, in terms of strain functions and complex stress functions, for two dimensional problems of elasticity. The principal results are as follows : (1) The method of solution in terms of complex stress functions, which are related to Airy's stress functions, can be obtained as a special case from the methods of solution in terms of strain functions such as the so-called Galerkin type and Papkovich-Neuber type strain functions. (2) The relations between complex stress functions, Papkovich-Neuber type strain functions and Galerkin type strain functions are shown. (3) Any one of the three strain functions in Papkovich-Neuber strain functions may be dropped without loss of generality, under the conditions that the body forces are absent. (4) The so-called Papkovich-Neuber type strain functions for problems with body forces under plane stress conditions are shown.