Constitutive Equations for Hot Working

Abstract

A set of internal variable type constitutive equations which model large elastic-viscoplastic deformations of metals at high temperatures is formulated. For a first-order representation of large deformation constitutive behavior we use a scalar as an internal variable to represent the isotropic resistance to plastic flow offered by the internal state of the material. Hot compression tests on an iron-2% silicon alloy have been conducted. Based on these experiments, specific viscoplastic constitutive functions are proposed, and the values for the material parameters appearing in these functions are determined. The constitutive equations with these functions and material parameters accurately reproduce the basic tests and also accurately predict the response of the metal to some critical experiments which were not used to determine the material parameters in the constitutive functions. Keywords: Deformation; Strain(Mechanics); Stresses; Metals; Plastic properties; Strength (Mechanics); Time dependence; Strain rate; Environments.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1988
Accession Number
ADA220961

Entities

People

  • Lallit Anand
  • Stuart B. Brown

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Ground and Sea Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Constitutive Equations
  • Crystal Structure
  • Data Acquisition
  • Differential Equations
  • Elastic Properties
  • Grain Size
  • High Temperature
  • Materials
  • Measurement
  • Mechanical Engineering
  • Mechanical Working
  • Mechanics
  • Plastic Flow
  • Plastic Properties
  • Temperature Gradients
  • Thermal Conductivity

Fields of Study

  • Engineering

Readers

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