Simple model for directional distortional hardening in metal plasticity within thermodynamics

Heidi P Feigenbaum, Yannis F. Dafalias

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

Directional distortion, observed in many experiments on various types of metals, refers to the formation of a region of high curvature (sharpening) on the yield surface approximately in the direction of loading, and a region of low curvature (flattening) approximately in the opposite direction. Constitutive modeling of directional distortion was recently presented by the writers where an evolving fourth-order tensor-valued internal variable was introduced. In the current paper a much simpler mathematical formulation describing directional distortional hardening is presented without the use of a fourth-order tensor, in conjunction with kinematic and isotropic hardening. Two versions of the model in ascending level of complexity follow similar lines of development, which include derivation of all hardening rules on the basis of conditions sufficient to satisfy the thermodynamic dissipation inequality. As a tradeoff for its simplicity the present model does not fit experimental data as well as the model with the evolving fourth-order tensor, but it still captures the salient features of directional distortion in a rather satisfactory way.

Original languageEnglish (US)
Pages (from-to)730-738
Number of pages9
JournalJournal of Engineering Mechanics
Volume134
Issue number9
DOIs
StatePublished - Sep 2008

Fingerprint

Tensors
Plasticity
Hardening
Thermodynamics
Metals
Kinematics
Experiments

Keywords

  • Anisotropy
  • Elastoplasticity
  • Plasticity
  • Thermal factors
  • Yield

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Simple model for directional distortional hardening in metal plasticity within thermodynamics. / Feigenbaum, Heidi P; Dafalias, Yannis F.

In: Journal of Engineering Mechanics, Vol. 134, No. 9, 09.2008, p. 730-738.

Research output: Contribution to journalArticle

@article{037b2b61226e496299850c1e206c7e3a,
title = "Simple model for directional distortional hardening in metal plasticity within thermodynamics",
abstract = "Directional distortion, observed in many experiments on various types of metals, refers to the formation of a region of high curvature (sharpening) on the yield surface approximately in the direction of loading, and a region of low curvature (flattening) approximately in the opposite direction. Constitutive modeling of directional distortion was recently presented by the writers where an evolving fourth-order tensor-valued internal variable was introduced. In the current paper a much simpler mathematical formulation describing directional distortional hardening is presented without the use of a fourth-order tensor, in conjunction with kinematic and isotropic hardening. Two versions of the model in ascending level of complexity follow similar lines of development, which include derivation of all hardening rules on the basis of conditions sufficient to satisfy the thermodynamic dissipation inequality. As a tradeoff for its simplicity the present model does not fit experimental data as well as the model with the evolving fourth-order tensor, but it still captures the salient features of directional distortion in a rather satisfactory way.",
keywords = "Anisotropy, Elastoplasticity, Plasticity, Thermal factors, Yield",
author = "Feigenbaum, {Heidi P} and Dafalias, {Yannis F.}",
year = "2008",
month = "9",
doi = "10.1061/(ASCE)0733-9399(2008)134:9(730)",
language = "English (US)",
volume = "134",
pages = "730--738",
journal = "Journal of Engineering Mechanics - ASCE",
issn = "0733-9399",
publisher = "American Society of Civil Engineers (ASCE)",
number = "9",

}

TY - JOUR

T1 - Simple model for directional distortional hardening in metal plasticity within thermodynamics

AU - Feigenbaum, Heidi P

AU - Dafalias, Yannis F.

PY - 2008/9

Y1 - 2008/9

N2 - Directional distortion, observed in many experiments on various types of metals, refers to the formation of a region of high curvature (sharpening) on the yield surface approximately in the direction of loading, and a region of low curvature (flattening) approximately in the opposite direction. Constitutive modeling of directional distortion was recently presented by the writers where an evolving fourth-order tensor-valued internal variable was introduced. In the current paper a much simpler mathematical formulation describing directional distortional hardening is presented without the use of a fourth-order tensor, in conjunction with kinematic and isotropic hardening. Two versions of the model in ascending level of complexity follow similar lines of development, which include derivation of all hardening rules on the basis of conditions sufficient to satisfy the thermodynamic dissipation inequality. As a tradeoff for its simplicity the present model does not fit experimental data as well as the model with the evolving fourth-order tensor, but it still captures the salient features of directional distortion in a rather satisfactory way.

AB - Directional distortion, observed in many experiments on various types of metals, refers to the formation of a region of high curvature (sharpening) on the yield surface approximately in the direction of loading, and a region of low curvature (flattening) approximately in the opposite direction. Constitutive modeling of directional distortion was recently presented by the writers where an evolving fourth-order tensor-valued internal variable was introduced. In the current paper a much simpler mathematical formulation describing directional distortional hardening is presented without the use of a fourth-order tensor, in conjunction with kinematic and isotropic hardening. Two versions of the model in ascending level of complexity follow similar lines of development, which include derivation of all hardening rules on the basis of conditions sufficient to satisfy the thermodynamic dissipation inequality. As a tradeoff for its simplicity the present model does not fit experimental data as well as the model with the evolving fourth-order tensor, but it still captures the salient features of directional distortion in a rather satisfactory way.

KW - Anisotropy

KW - Elastoplasticity

KW - Plasticity

KW - Thermal factors

KW - Yield

UR - http://www.scopus.com/inward/record.url?scp=50149083478&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=50149083478&partnerID=8YFLogxK

U2 - 10.1061/(ASCE)0733-9399(2008)134:9(730)

DO - 10.1061/(ASCE)0733-9399(2008)134:9(730)

M3 - Article

VL - 134

SP - 730

EP - 738

JO - Journal of Engineering Mechanics - ASCE

JF - Journal of Engineering Mechanics - ASCE

SN - 0733-9399

IS - 9

ER -