Mixed Variational Principles for Static Problems: Coupling (Of These Principles) with the Displacement Principle

摘要

A method of coupling two mixed variational principles with the displacement principle was developed in an attempt to determine the stress distributions in structures having large stress gradients. This method consists of applying a mixed principle in the part of the structure which is likely to experience large stress concentrations, and the displacement method is applied in the remaining part. The finite elements employed are examined, and results relating to cases which were treated numerically are presented. The mixed variational principles allow two or more unknown fields to be obtained simultaneously.