THEORY FUNDAMENTALS OF METAL TREATMENT UNDER PRESSURE

Abstract

The calculation of the deforming forces applied in any process of metalworking by pressure requires the determination of the law governing the distribution of normal and shear stresses on the contact surfaces of the forming die and the metal. The fundamental method applicable to this type of problem consists in finding a solution for the differential equations of equilibrium simultaneously with the condition of plasticity. The following assumptions are made: (1) the temperature throughout the mass of the metal is uniform at any time of deformation (including friction surfaces); (2) the mean properties of the deformable metal are homogeneous and isotropic. However, the system of differential equations fails in providing closed solutions for the volumetric state of stress. Therefore, the mechanical aspects of deformation must be reduced to either a flat or an axially symmetrical problem. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 17, 1962
Accession Number
AD0276352

Entities

People

  • B.p. Zvorono
  • S.i. Gubkin

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Arrhenius Equation
  • Differential Equations
  • Equations
  • Friction
  • Mathematics
  • Mechanical Properties
  • Metalworking
  • Physical Properties
  • Plastic Properties
  • Pressure Distribution
  • Shear Stresses
  • Stresses

Readers

  • Calculus or Mathematical Analysis
  • Mechanical Engineering/Mechanics of Materials.
  • Metallurgy