Model Describing Material-Dependent Deformation Behavior in High-Velocity Metal Forming Processes
Journal article, 2009

A constitutive model for rate-dependent and thermomechanically coupled plasticity at finite strains is presented. The plasticity model is based on a J(2) model and rate-dependent behavior is included by use of a Perzyna-type formulation. Adiabatic heating effects are handled in a consistent way and not, as is a common assumption, through a constant conversion of the internal work rate into rate of heating. The conversion factor is instead derived from thermodynamic considerations. The stored energy is assumed to be a function of a single internal variable which differs from the effective plastic strain. This allows a thermodynamically consistent formulation to be obtained which, as shown, can be calibrated by use of simple procedures. Choosing 100Cr6 steel in two differently heat treated conditions as prototype material, experimental tests are performed, enabling the model to be calibrated. Significant differences in deformation behavior are noted as the differently heat treated specimens are compared. In addition, the local stress-updating procedure is reduced to a single scalar equation, permitting a very efficient numerical implementation of the model. The constitutive formulation proposed was employed in an explicit finite element solver, illustrative simulations of a high-velocity metal forming process being performed to demonstrate the capabilities of the model and certain characteristic traits of the materials that were studied.

high-strain rates


stored energy


plastic work


adiabatic shear bands




H. Hallberg

Lund University

Kristina Ryttberg

Chalmers, Materials and Manufacturing Technology, Surface and Microstructure Engineering

M. Ristinmaa

Lund University

Journal of Engineering Mechanics - ASCE

0733-9399 (ISSN) 19437889 (eISSN)

Vol. 135 4 345-357

Subject Categories

Materials Engineering

Astronomy, Astrophysics and Cosmology



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