3D analyses of cavitation instabilities accounting for plastic anisotropy

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

Full three dimensional cell model analyses are carried out for a solid containing a single small void, in order to determine the critical stress levels for the occurrence of cavitation instabilities. The material models applied are elastic‐viscoplastic, with a small rate‐hardening exponent, and the main focus is on the effect of different degrees of plastic anisotropy. Loading cases are considered, where all the macroscopic principal stresses differ. The numerical quasi‐static solutions are obtained by a full transient analysis of the equations of motion, in which the loading is applied so slowly that the quasi‐static solution is well approximated. A special procedure is used to strongly reduce the loading rate a little before the instability occurs. It is found that plastic anisotropy has a significant effect on the level of the critical stress for cavitation instabilities.
Original languageEnglish
JournalZeitschrift fuer Angewandte Mathematik und Mechanik
Volume90
Issue number9
Pages (from-to)701-709
ISSN0044-2267
DOIs
Publication statusPublished - 2010

Keywords

  • Cavitation
  • Anisotropic viscoplasticity
  • Finite strains
  • Void growth
  • Instability

Cite this

@article{0821e14cfcbf46568af9c6f9049ccbf9,
title = "3D analyses of cavitation instabilities accounting for plastic anisotropy",
abstract = "Full three dimensional cell model analyses are carried out for a solid containing a single small void, in order to determine the critical stress levels for the occurrence of cavitation instabilities. The material models applied are elastic‐viscoplastic, with a small rate‐hardening exponent, and the main focus is on the effect of different degrees of plastic anisotropy. Loading cases are considered, where all the macroscopic principal stresses differ. The numerical quasi‐static solutions are obtained by a full transient analysis of the equations of motion, in which the loading is applied so slowly that the quasi‐static solution is well approximated. A special procedure is used to strongly reduce the loading rate a little before the instability occurs. It is found that plastic anisotropy has a significant effect on the level of the critical stress for cavitation instabilities.",
keywords = "Cavitation, Anisotropic viscoplasticity, Finite strains, Void growth, Instability",
author = "Legarth, {Brian Nyvang} and Viggo Tvergaard",
year = "2010",
doi = "10.1002/zamm.201000007",
language = "English",
volume = "90",
pages = "701--709",
journal = "Zeitschrift fuer Angewandte Mathematik und Mechanik",
issn = "0044-2267",
publisher = "Wiley - V C H Verlag GmbH & Co. KGaA",
number = "9",

}

3D analyses of cavitation instabilities accounting for plastic anisotropy. / Legarth, Brian Nyvang; Tvergaard, Viggo.

In: Zeitschrift fuer Angewandte Mathematik und Mechanik, Vol. 90, No. 9, 2010, p. 701-709.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - 3D analyses of cavitation instabilities accounting for plastic anisotropy

AU - Legarth, Brian Nyvang

AU - Tvergaard, Viggo

PY - 2010

Y1 - 2010

N2 - Full three dimensional cell model analyses are carried out for a solid containing a single small void, in order to determine the critical stress levels for the occurrence of cavitation instabilities. The material models applied are elastic‐viscoplastic, with a small rate‐hardening exponent, and the main focus is on the effect of different degrees of plastic anisotropy. Loading cases are considered, where all the macroscopic principal stresses differ. The numerical quasi‐static solutions are obtained by a full transient analysis of the equations of motion, in which the loading is applied so slowly that the quasi‐static solution is well approximated. A special procedure is used to strongly reduce the loading rate a little before the instability occurs. It is found that plastic anisotropy has a significant effect on the level of the critical stress for cavitation instabilities.

AB - Full three dimensional cell model analyses are carried out for a solid containing a single small void, in order to determine the critical stress levels for the occurrence of cavitation instabilities. The material models applied are elastic‐viscoplastic, with a small rate‐hardening exponent, and the main focus is on the effect of different degrees of plastic anisotropy. Loading cases are considered, where all the macroscopic principal stresses differ. The numerical quasi‐static solutions are obtained by a full transient analysis of the equations of motion, in which the loading is applied so slowly that the quasi‐static solution is well approximated. A special procedure is used to strongly reduce the loading rate a little before the instability occurs. It is found that plastic anisotropy has a significant effect on the level of the critical stress for cavitation instabilities.

KW - Cavitation

KW - Anisotropic viscoplasticity

KW - Finite strains

KW - Void growth

KW - Instability

U2 - 10.1002/zamm.201000007

DO - 10.1002/zamm.201000007

M3 - Journal article

VL - 90

SP - 701

EP - 709

JO - Zeitschrift fuer Angewandte Mathematik und Mechanik

JF - Zeitschrift fuer Angewandte Mathematik und Mechanik

SN - 0044-2267

IS - 9

ER -