Constitutive Modeling of Multiaxial Deformation and Induced Anisotropy in Superplastic Materials

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)

Abstract

The multiaxial deformation of superplastic materials is modeled within a continuum theory of viscoplasticity using a generalized anisotropic dynamic yield function. The anisotropic dynamic yield function is capable of describing the evolution of the initial anisotropic state of the yield potential through the evolution of unit vectors defining the direction of anisotropy. The evolution of the direction of anisotropy is represented by a constitutive spin such that initially it is identical to the Eulerian spin and as deformation continues, it tends towards an orthotropic spin. Experiments on the model Pb-Sn alloy were conducted and used to calibrate and verify the constructed model. It is shown that the model in conjunction with the anisotropic dynamic yield function is capable of predicting the actual trend of the induced axial stresses recorded in fixed-end torsion experiments.

Original languageEnglish
Title of host publicationAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
Pages79-90
Number of pages12
Volume239
Publication statusPublished - 2000
Externally publishedYes

Fingerprint

Anisotropy
Viscoplasticity
Torsional stress
Experiments

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Khraisheh, M. (2000). Constitutive Modeling of Multiaxial Deformation and Induced Anisotropy in Superplastic Materials. In American Society of Mechanical Engineers, Applied Mechanics Division, AMD (Vol. 239, pp. 79-90)

Constitutive Modeling of Multiaxial Deformation and Induced Anisotropy in Superplastic Materials. / Khraisheh, Marwan.

American Society of Mechanical Engineers, Applied Mechanics Division, AMD. Vol. 239 2000. p. 79-90.

Research output: Chapter in Book/Report/Conference proceedingChapter

Khraisheh, M 2000, Constitutive Modeling of Multiaxial Deformation and Induced Anisotropy in Superplastic Materials. in American Society of Mechanical Engineers, Applied Mechanics Division, AMD. vol. 239, pp. 79-90.
Khraisheh M. Constitutive Modeling of Multiaxial Deformation and Induced Anisotropy in Superplastic Materials. In American Society of Mechanical Engineers, Applied Mechanics Division, AMD. Vol. 239. 2000. p. 79-90
Khraisheh, Marwan. / Constitutive Modeling of Multiaxial Deformation and Induced Anisotropy in Superplastic Materials. American Society of Mechanical Engineers, Applied Mechanics Division, AMD. Vol. 239 2000. pp. 79-90
@inbook{e5e4a4cb1e094731a2b1fcff3b5ce628,
title = "Constitutive Modeling of Multiaxial Deformation and Induced Anisotropy in Superplastic Materials",
abstract = "The multiaxial deformation of superplastic materials is modeled within a continuum theory of viscoplasticity using a generalized anisotropic dynamic yield function. The anisotropic dynamic yield function is capable of describing the evolution of the initial anisotropic state of the yield potential through the evolution of unit vectors defining the direction of anisotropy. The evolution of the direction of anisotropy is represented by a constitutive spin such that initially it is identical to the Eulerian spin and as deformation continues, it tends towards an orthotropic spin. Experiments on the model Pb-Sn alloy were conducted and used to calibrate and verify the constructed model. It is shown that the model in conjunction with the anisotropic dynamic yield function is capable of predicting the actual trend of the induced axial stresses recorded in fixed-end torsion experiments.",
author = "Marwan Khraisheh",
year = "2000",
language = "English",
volume = "239",
pages = "79--90",
booktitle = "American Society of Mechanical Engineers, Applied Mechanics Division, AMD",

}

TY - CHAP

T1 - Constitutive Modeling of Multiaxial Deformation and Induced Anisotropy in Superplastic Materials

AU - Khraisheh, Marwan

PY - 2000

Y1 - 2000

N2 - The multiaxial deformation of superplastic materials is modeled within a continuum theory of viscoplasticity using a generalized anisotropic dynamic yield function. The anisotropic dynamic yield function is capable of describing the evolution of the initial anisotropic state of the yield potential through the evolution of unit vectors defining the direction of anisotropy. The evolution of the direction of anisotropy is represented by a constitutive spin such that initially it is identical to the Eulerian spin and as deformation continues, it tends towards an orthotropic spin. Experiments on the model Pb-Sn alloy were conducted and used to calibrate and verify the constructed model. It is shown that the model in conjunction with the anisotropic dynamic yield function is capable of predicting the actual trend of the induced axial stresses recorded in fixed-end torsion experiments.

AB - The multiaxial deformation of superplastic materials is modeled within a continuum theory of viscoplasticity using a generalized anisotropic dynamic yield function. The anisotropic dynamic yield function is capable of describing the evolution of the initial anisotropic state of the yield potential through the evolution of unit vectors defining the direction of anisotropy. The evolution of the direction of anisotropy is represented by a constitutive spin such that initially it is identical to the Eulerian spin and as deformation continues, it tends towards an orthotropic spin. Experiments on the model Pb-Sn alloy were conducted and used to calibrate and verify the constructed model. It is shown that the model in conjunction with the anisotropic dynamic yield function is capable of predicting the actual trend of the induced axial stresses recorded in fixed-end torsion experiments.

UR - http://www.scopus.com/inward/record.url?scp=0347645643&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0347645643&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0347645643

VL - 239

SP - 79

EP - 90

BT - American Society of Mechanical Engineers, Applied Mechanics Division, AMD

ER -