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ASM Handbook

Metalworking: Sheet Forming

Edited by
S.L. Semiatin
S.L. Semiatin
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ASM International
Volume
14B
ISBN electronic:
978-1-62708-186-3
Publication date:
2006
Book Chapter

Constitutive Equations

By
Amit Ghosh
Amit Ghosh
University of Michigan
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Published:
2006
Page range:
709 - 732
Publication history
April 03, 2006

Abstract

Constitutive relations for metal-working include elements of behavior at ambient temperature as well as high-temperature response. This article presents the equations for the strain hardening and strain-rate-sensitive flow, with alternate sections on empirically determined properties, followed by models of constitutive behavior. These models include the isothermal constitutive model and the physical model for superplastic flow. A formal description of the superposition of the operative mechanisms for dynamic recovery at hot-working strain rates is also provided. The article describes creep mechanisms that are useful for illustrating the strong stress dependence of dislocation and diffusional flow.

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Amit Ghosh, 2006. "Constitutive Equations", Metalworking: Sheet Forming, S.L. Semiatin

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