Ein verallgemeinertes Variationsverfahren zur vollen oder teilweisen Diskretisierung mehrdimensionaler Elastizitätsprobleme

The discretisation of elastic continua is achieved by a variational method employing simultaneously stresses and displacements as unknowns. Thus, trial functions for all state variables can be chosen independently. Starting point is a generalized variational principle (e.g. due to Hellinger-Reissner), but the procedure may also be considered as a generalized Galerkin-process. Two- or three-dimensional problems are reduced either to algebraic equations or to a system of ordinary differential equations of first order. This can be interpreted as a method of finite elements or as a method of "finite stripes", respectively. The process is specialized for thick shells of revolution. Numerical results of some examples are given.