Use of special finite elements for stress analysis of plates with holes
Abstract
Special finite elements are developed using the hybrid displacement finite element method for efficient evaluation of stress concentration around a hole in complex structures. The special finite elements are designed to embody the stress concentration effects of a hole in the element interior and to simultaneously maintain the displacement compatibility with conventional finite elements along the element boundary. The complex variable formulation is used to derive a special set of trial functions which satisfy all the governing equations and the traction-free boundary conditions at the hole for the construction of the special finite elements. Several numerical examples are presented to show that the use of special finite elements to model critical regions around a hole, together with conventional finite elements to model other regions away from the hole, is not only very convenient but also highly accurate.
- Publication:
-
AIAA/ASME/ASCE/AHS/ASC 34th Structures, Structural Dynamics, and Materials Conference
- Pub Date:
- April 1993
- Bibcode:
- 1993ssdm.conf..786C
- Keywords:
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- Finite Element Method;
- Plate Theory;
- Stress Analysis;
- Boundary Element Method;
- Stress Concentration;
- Structural Mechanics