Abstract
The quest for an internal state variable constitutive model describing metal deformation is reviewed. First, analogy is drawn between a deformation model and the Ideal Gas Law. The use of strain as a variable in deformation models is discussed, and whether strain serves as an internal state variable is considered. A simple experiment that demonstrated path dependence in copper is described. The importance of defining appropriate internal state variables for a constitutive law relates to the ability to accurately model temperature and strain-rate dependencies in deformation simulations.
Highlights
The author of this paper recently published a textbook entitled “Fundamentals of Strength—Principles, Experiment, and Applications of an Internal State Variable Constitutive Formalism” [1]
The approach will be to draw an analogy with the most common internal state variable model—the Ideal Gas Law—and to demonstrate how a metal would behave if its deformation behaviors were well-described by an internal state variable model
High school chemistry students are introduced to the ideal gas law
Summary
The author of this paper recently published a textbook entitled “Fundamentals of Strength—Principles, Experiment, and Applications of an Internal State Variable Constitutive Formalism” [1]. An objective of this paper is to describe the title of this textbook for this broader community. The approach will be to draw an analogy with the most common internal state variable model—the Ideal Gas Law—and to demonstrate how a metal would behave if its deformation behaviors were well-described by an internal state variable model. (2014) On the Definition of State Variables for an Internal State Variable Constitutive Model Describing Metal Deformation. Follansbee textbook, but to serve as a complement to the textbook and perhaps ease the use of internal state variable models by a broader community of scientists and engineers
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