Accession Number : AD0620103
Title : THE CALCULATION OF EQUILIBRIUM STATES OF ELASTIC BODIES BY NEWTON'S METHOD.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Bueckner,H. F. ; Johnson,M. W. ,Jr. ; Moore,R. H.
Report Date : JUN 1965
Pagination or Media Count : 28
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)
Descriptors : (*ELASTIC SHELLS, DEFORMATION), (*ITERATIONS, DEFORMATION), BUCKLING, ELASTIC PROPERTIES, NONLINEAR DIFFERENTIAL EQUATIONS
Distribution Statement : APPROVED FOR PUBLIC RELEASE