APPROXIMATE THREE-DIMENSIONAL STRESS SOLUTIONS FOR SOME LAMINATED PLACE PROBLEMS USING A HIGHER ORDER EQUILIBRIUM FINITE ELEMENT MODEL. PART I. PRELIMINARY INVESTIGATIONS.
Abstract
A preliminary investigation of a method for obtaining approximate three-dimensional stress solutions for some laminated plates is presented. The laminates are three-ply symmetric lay-ups. The material of each lamina is orthotropic and homogeneous. The stress-strain relations are linear and the behavior is the same in tension as compression. Displacement and stress boundary conditions are considered. The method of analysis utilizes the complementary energy formulation and a 'higher order' three-dimensional finite element representation for the Maxwell stress functions. Equilibrium within each material and between distinct materials is satisfied exactly. Stress boundary conditions and stress-strain relations are satisfied exactly. Compatibility and displacement boundary conditions are satisfied approximately. One element per lamina is used. This representation yields from 216 to 600 unknowns depending on the boundary conditions. A computer program based on the method of analysis was developed. Results for selected laminates are presented and discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1970
- Accession Number
- AD0711399
Entities
People
- Edmund F. Rybicki
Organizations
- Battelle Memorial Institute