
Accession Number : AD0706769
Title : A NOTE ON THE 'SMALL STRAIN' FORMULATION FOR ELASTIC  PLASTIC PROBLEMS.
Descriptive Note : Technical rept.,
Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF ENGINEERING
Personal Author(s) : Rice,James R.
Report Date : APR 1970
Pagination or Media Count : 15
Abstract : Many ductile metals, particularly the higher strength structural alloys, exhibit a stressstrain curve having a slope in the plastic range which is of the same order of magnitude as the flow stress. This may occur even at strains which are quite small compared to unity. It is pointed out that this situation raises questions as to the validity of the conventional 'small strain' formulation of elasticplastic problems. The small strain formulation is reexamined here and derived as a limiting case of a finite strain formulation. The difficulties encountered are similar to those in the superposition of small elastic deformations on large deformations: The conventional small strain formulation neglects terms of the same order of magnitude as those it retains when the hardening rate and stresses are of comparable order. Among the results, it is seen that for this case the conventional elasticperfectly plastic small strain formulation emerges as an approximation of consistent order to the finite strain formulation. (Author)
Descriptors : (*METAL PLATES, STRAIN(MECHANICS)), TENSILE PROPERTIES, DUCTILE BRITTLE TRANSITION, STRESSES, DEFORMATION, PLASTIC PROPERTIES, ELASTIC PROPERTIES, THEORY
Subject Categories : Structural Engineering and Building Technology
Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE