Journal ArticleDOI
A constitutive model for the deformation induced anisotropic plastic flow of metals
D. C. Stouffer,S.R. Bodner +1 more
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TLDR
In this article, a mathematical framework for the equations governing inelastic deformation under multi-dimensional stress states and for the associated evolution equations of the internal state variables is established, based on a generalization of the Prandtl-Reuss flow law.About:
This article is published in International Journal of Engineering Science.The article was published on 1979-01-01. It has received 57 citations till now. The article focuses on the topics: Levy–Mises equations & Viscoplasticity.read more
Citations
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Journal ArticleDOI
A critical review of the state of finite plasticity
TL;DR: In this article, a critical review of the current state of plasticity in the presence of finite deformation is provided, focusing mainly on the purely mechanical, rate-independent theory of elastic-plastic materials, although closely related topics such as ratedependent behavior, thermal effects, experimental and computational aspects, microstructural effects and crystal plasticity are also discussed and potentially fruitful directions are identified.
BookDOI
Unified constitutive equations for creep and plasticity
TL;DR: In this paper, Hart's Model for Grain Matrix Deformation was extended to a multiaxial loading case and a new state variable theory was proposed to describe the effect of grain boundary sliding.
Book ChapterDOI
Review of a Unified Elastic—Viscoplastic Theory
TL;DR: In this article, the authors considered both elastic and plastic deformations to be generally non-zero at all stages of loading and derived the form of the equations and the material constants from measurements of microstructural quantities.
Journal ArticleDOI
A viscoelastic–viscoplastic constitutive model for glassy polymers
Geoffrey J. Frank,R. A. Brockman +1 more
TL;DR: In this article, a constitutive model is presented which combines nonlinear viscoelasticity and viscoplasticity into a unified set of equations suitable for multi-axial isotropic deformation.
Journal ArticleDOI
An internal variable model of viscoplasticity
TL;DR: In this paper, a time and temperature dependent plasticity model is formulated in a Lagrangian system to describe finite deformation, where history dependence and large strain behavior are incorporated through the introduction of one tensor internal variable.
References
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Journal ArticleDOI
Constitutive Equations for Elastic-Viscoplastic Strain-Hardening Materials
S. R. Bodner,Y. Partom +1 more
TL;DR: In this paper, a set of constitutive equations has been formulated to represent elastic-viscoplastic strain hardening material behavior for large deformations and arbitrary loading histories, and the total deformation rate is considered to be separable into elastic and inelastic components which are functions of state variables at all stages of loading and unloading.
Journal ArticleDOI
A Large Deformation Elastic-Viscoplastic Analysis of a Thick-Walled Spherical Shell
S. R. Bodner,Y. Partom +1 more
TL;DR: In this paper, a large deformation elastic-viscoplastic theory is formulated which considers both elastic and inelastic deformations to be present at all stages of loading and unloading, and does not require the assumption of a yield criterion or the prior determination of whether the material is loading or unloading.
Journal ArticleDOI
On the Hardening Response in Small Deformation of Metals
D. A. Caulk,P. M. Naghdi +1 more
TL;DR: In this article, a special class of hardening response functions for small deformation of elastic-plastic materials, its application to isotropic metals, and comparison of the theoretical results with experimental cyclic stress-strain curves for two different metals are discussed.
Journal ArticleDOI
The constant volume hypothesis for the inelastic deformation of metals in the small strain range
E. Krempl,P. Hewelt +1 more
TL;DR: In this paper, the authors evaluated available tensile and creep tests to see whether the experiments confirm the constant volume assumption and found that none of the experiments which were done on a variety of structural metals confirmed the assumption.
Related Papers (5)
Constitutive Equations for Elastic-Viscoplastic Strain-Hardening Materials
S. R. Bodner,Y. Partom +1 more