Calibration of a simple directional distortional hardening model for metal plasticity

Slavomír Parma, Jiří Plešek, René Marek, Zbyněk Hrubý, Heidi P. Feigenbaum, Yannis F. Dafalias

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Directional distortional hardening (DDH) is the change of shape of the yield surface such that a region of high curvature develops roughly in the loading direction while a region of lower curvature develops in the opposite direction. In this paper, a simple model of DDH involving six material parameters is calibrated by analytical means. Analytical integration results in equations for the stress–strain curve, the hysteresis loop and the cyclic stress–strain curve inherent to the model. Based on these curves, two calibration procedures for model's parameters are proposed, and consequent analysis shows some basic properties of the model. The first calibration procedure is suited to model monotonic loading whereas the second one is suited to model cyclic loading cases.

Original languageEnglish (US)
JournalInternational Journal of Solids and Structures
DOIs
StateAccepted/In press - Jan 1 2018

Fingerprint

Hardening
plastic properties
Plasticity
hardening
Calibration
Metals
metals
Curve
curves
Curvature
curvature
Model
Analytical Integration
Hysteresis Loop
Cyclic Loading
Hysteresis loops
Monotonic
hysteresis

Keywords

  • Calibration
  • Constitutive laws
  • Hardening
  • Plasticity
  • Yield surface

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cite this

Calibration of a simple directional distortional hardening model for metal plasticity. / Parma, Slavomír; Plešek, Jiří; Marek, René; Hrubý, Zbyněk; Feigenbaum, Heidi P.; Dafalias, Yannis F.

In: International Journal of Solids and Structures, 01.01.2018.

Research output: Contribution to journalArticle

Parma, Slavomír ; Plešek, Jiří ; Marek, René ; Hrubý, Zbyněk ; Feigenbaum, Heidi P. ; Dafalias, Yannis F. / Calibration of a simple directional distortional hardening model for metal plasticity. In: International Journal of Solids and Structures. 2018.
@article{4586495e37c74f87a5dc8f89e057d420,
title = "Calibration of a simple directional distortional hardening model for metal plasticity",
abstract = "Directional distortional hardening (DDH) is the change of shape of the yield surface such that a region of high curvature develops roughly in the loading direction while a region of lower curvature develops in the opposite direction. In this paper, a simple model of DDH involving six material parameters is calibrated by analytical means. Analytical integration results in equations for the stress–strain curve, the hysteresis loop and the cyclic stress–strain curve inherent to the model. Based on these curves, two calibration procedures for model's parameters are proposed, and consequent analysis shows some basic properties of the model. The first calibration procedure is suited to model monotonic loading whereas the second one is suited to model cyclic loading cases.",
keywords = "Calibration, Constitutive laws, Hardening, Plasticity, Yield surface",
author = "Slavom{\'i}r Parma and Jiř{\'i} Plešek and Ren{\'e} Marek and Zbyněk Hrub{\'y} and Feigenbaum, {Heidi P.} and Dafalias, {Yannis F.}",
year = "2018",
month = "1",
day = "1",
doi = "10.1016/j.ijsolstr.2018.02.037",
language = "English (US)",
journal = "International Journal of Solids and Structures",
issn = "0020-7683",
publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Calibration of a simple directional distortional hardening model for metal plasticity

AU - Parma, Slavomír

AU - Plešek, Jiří

AU - Marek, René

AU - Hrubý, Zbyněk

AU - Feigenbaum, Heidi P.

AU - Dafalias, Yannis F.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - Directional distortional hardening (DDH) is the change of shape of the yield surface such that a region of high curvature develops roughly in the loading direction while a region of lower curvature develops in the opposite direction. In this paper, a simple model of DDH involving six material parameters is calibrated by analytical means. Analytical integration results in equations for the stress–strain curve, the hysteresis loop and the cyclic stress–strain curve inherent to the model. Based on these curves, two calibration procedures for model's parameters are proposed, and consequent analysis shows some basic properties of the model. The first calibration procedure is suited to model monotonic loading whereas the second one is suited to model cyclic loading cases.

AB - Directional distortional hardening (DDH) is the change of shape of the yield surface such that a region of high curvature develops roughly in the loading direction while a region of lower curvature develops in the opposite direction. In this paper, a simple model of DDH involving six material parameters is calibrated by analytical means. Analytical integration results in equations for the stress–strain curve, the hysteresis loop and the cyclic stress–strain curve inherent to the model. Based on these curves, two calibration procedures for model's parameters are proposed, and consequent analysis shows some basic properties of the model. The first calibration procedure is suited to model monotonic loading whereas the second one is suited to model cyclic loading cases.

KW - Calibration

KW - Constitutive laws

KW - Hardening

KW - Plasticity

KW - Yield surface

UR - http://www.scopus.com/inward/record.url?scp=85045444026&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85045444026&partnerID=8YFLogxK

U2 - 10.1016/j.ijsolstr.2018.02.037

DO - 10.1016/j.ijsolstr.2018.02.037

M3 - Article

AN - SCOPUS:85045444026

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

ER -