Accession Number : AD0736349
Title : Constitutive Matrix and Finite Element Formulation for a Deformation Theory of Plasticity.
Descriptive Note : Technical rept.,
Corporate Author : WATERVLIET ARSENAL N Y
Personal Author(s) : Chen,P. C. T.
Report Date : OCT 1971
Pagination or Media Count : 20
Abstract : The report is concerned with three general approaches in the finite element formulation of small strain plasticity problems, using the Hencky-Nadai deformation theory as a mathematical model for the material behavior. The finite stress-strain matrix due to Havner is adapted into the secant modulus or direct-iterative approach. Two quasei-linear incremental forms of constitutive matrix are derived. An explicit relation is also given for the calculation of plastic strain increments in the incremental-initial strain approach. Particular attention is given to the finite element formulation using a combined moduli approach. A close similarity between two types of plasticity theories is shown. (Author)
Descriptors : (*PLASTIC PROPERTIES, MATHEMATICAL MODELS), (*DEFORMATION, MATHEMATICAL MODELS), STRAIN(MECHANICS), STRESSES, MATRICES(MATHEMATICS)
Subject Categories : Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE