THE CALCULATION OF EQUILIBRIUM STATES OF ELASTIC BODIES BY NEWTON'S METHOD.
Abstract
The numerical calculation of equilibrium states of elastic bodies under large deformation, where the governing differential equations are nonlinear, is considered. Newton's iterative method is modified by a reparametrization scheme which makes it possible to obtain a global solution in problems where buckling occurs. The method is applied to the problem of the buckling of a shallow clamped spherical shell under uniform pressure. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1965
- Accession Number
- AD0620103
Entities
People
- H. F. Bueckner
- M. W. Johnson Jr.
- R. H. Moore
Organizations
- University of Wisconsin–Madison