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