NECKING IN A BAR

Abstract

The necking process of an axisymmetric tension specimen made of elastic-plastic, strain-hardening material is analyzed by a generalized J sub 2- flow theory for large deformations. The governing equations are solved in a Kantorovich type approach based on a variational principle. The effects of both geometric nonlinearities resulting from large deformations and the physical nonlinearities arising from plastic material behavior are considered. Numerical results have been found for the stress and deformation histories in the specimen up to a 50% reduction of the neck radius. The shape of the neck, for the first time, is rationally calculated.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1970
Accession Number
AD0706364

Entities

People

  • Winston H. Chen

Organizations

  • Harvard University

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Axisymmetric
  • Bodies
  • Constitutive Equations
  • Contracts
  • Engineering
  • Equations
  • Hardening
  • Mechanics
  • Numerical Analysis
  • Plastic Flow
  • Shape
  • Strain Hardening
  • Strain Rate
  • Stress Strain Relations
  • Stresses
  • Variational Equations
  • Variational Principles

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mechanical Engineering/Mechanics of Materials.