REFINED FINITE ELEMENT ANALYSIS OF ELASTIC-PLASTIC THIN SHELLS OF REVOLUTION,
Abstract
A refined axisymmetric curved finite element for the analysis of thin elastic plastic shells of revolution is described in the report. The improved element is obtained by employing cubic polynomials for the assumed in-plane and out-of-plane displacements in terms of local Cartesian coordinates. This introduces into the solution two internal degrees of freedom in the cord direction of each element. These internal degrees of freedom are removed by static condensation before assembling the individual element stiffness matrices, and are subsequently recovered after the nodal displacements are obtained. On comparison with the previous formulation, this procedure greatly improves the accuracy of the solution especially with regards to inplane stress-resultants at discontinuities in the meridional curvature and interelement equilibrium of forces. The latter fact makes it possible to analyze shells with discontinuous meridional slope. In using this element, improvement in the convergence of the elastic-plastic solutions has been also observed. Complete listing of the modified program written in FORTRAN IV language is given. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1969
- Accession Number
- AD0703908
Entities
People
- E. P. Popov
- P. Sharifi
Organizations
- University of California, Berkeley