Review: Inelastic Constitutive Modeling: Polycrystalline Materials

Author:

Baig Mirza1,Owusu-Danquah Josiah1,Campbell Anne A.2ORCID,Duffy Stephen F.1

Affiliation:

1. Department of Civil and Environmental Engineering, Washkewicz College of Engineering, Cleveland State University, Cleveland, OH 44115, USA

2. Materials Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA

Abstract

This article provides a literature review that details the development of inelastic constitutive modeling as it relates to polycrystalline materials. This review distinguishes between inelastic constitutive models that account for nonlinear behavior at the microstructural level, time-independent classic plasticity models, and time-dependent unified models. Particular emphasis is placed on understanding the underlying theoretical framework for unified viscoplasticity models where creep and classical plasticity behavior are considered the result of applied boundary conditions instead of separable rates representing distinct physical mechanisms. This article establishes a clear understanding of the advantages of the unified approach to improve material modeling. This review also discusses recent topics in constitutive modeling that offer new techniques that bridge the gap between the microstructure and the continuum.

Funder

Advanced Reactor Technologies program of the U.S. Department of Energy

U.S. Department of Energy

Publisher

MDPI AG

Subject

General Materials Science

Reference149 articles.

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2. The Flow in Metals under Large Constant Stresses;Andrade;Proc. R. Soc. Sect. A–Math. Phys. Sci.,1914

3. Norton, F.H. (1929). The Creep of Steel at High Temperatures, McGraw-Hill.

4. Creep of Steel Under Simple and Compound Stress;Bailey;Engineering,1930

5. Odqvist, F.K.G. (1935). International Congress of Applied Mechanics, Cambridge, Proceedings, Cambridge University Press.

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