PRELIMINARY STATEMENTS FOR SOLUTION OF THE BASIC EQUATIONS OF THE THEORY OF ELASTICITY [Ansatze zur Losung der Grundgleichungen der Elastizitatstheorie]

摘要

In recent years, numerous two-and three-dimensional problems in the theory of elasticity have been solved. The preliminary statements used for solution, apparently of very different nature from case to case, prove closely related to one another upon more detailed inspection: in final analysis, it is attempted to build up the solution from combinations of potential functions. The present study consists of the relationships existing between a large number of such statements and complements then by a didactically obvious new one. In an appendix appear the most important rules for vector and tensor calculus.