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