Gradient enhanced damage for quasi-brittle materials

R.H.J. Peerlings, R. Borst, de, W.A.M. Brekelmans, J.H.P. Vree, de

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Abstract

Conventional continuum damage descriptions of material degeneration suffer fromloss of well-posedness beyond a certain level of accumulated damage. As aconsequence, numerical solutions are obtained which are unacceptable from aphysical point of view. The introduction of higher-order deformationgradients in the constitutive model is demonstrated to be an adequate remedyto this deficiency of standard damage models. A consistent numericalsolution procedure of the governing partial differential equations ispresented, which is shown to be capable of properly simulating localizationphenomena.
Original languageEnglish
Pages (from-to)3391-3403
JournalInternational Journal for Numerical Methods in Engineering
Volume39
Issue number19
DOIs
Publication statusPublished - 1996

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Brittle Materials
Brittleness
Constitutive models
Partial differential equations
Damage
Gradient
Degeneration
Constitutive Model
Well-posedness
Continuum
Partial differential equation
Numerical Solution
Higher Order
Model

Cite this

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title = "Gradient enhanced damage for quasi-brittle materials",
abstract = "Conventional continuum damage descriptions of material degeneration suffer fromloss of well-posedness beyond a certain level of accumulated damage. As aconsequence, numerical solutions are obtained which are unacceptable from aphysical point of view. The introduction of higher-order deformationgradients in the constitutive model is demonstrated to be an adequate remedyto this deficiency of standard damage models. A consistent numericalsolution procedure of the governing partial differential equations ispresented, which is shown to be capable of properly simulating localizationphenomena.",
author = "R.H.J. Peerlings and {Borst, de}, R. and W.A.M. Brekelmans and {Vree, de}, J.H.P.",
year = "1996",
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pages = "3391--3403",
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}

Gradient enhanced damage for quasi-brittle materials. / Peerlings, R.H.J.; Borst, de, R.; Brekelmans, W.A.M.; Vree, de, J.H.P.

In: International Journal for Numerical Methods in Engineering, Vol. 39, No. 19, 1996, p. 3391-3403.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Gradient enhanced damage for quasi-brittle materials

AU - Peerlings, R.H.J.

AU - Borst, de, R.

AU - Brekelmans, W.A.M.

AU - Vree, de, J.H.P.

PY - 1996

Y1 - 1996

N2 - Conventional continuum damage descriptions of material degeneration suffer fromloss of well-posedness beyond a certain level of accumulated damage. As aconsequence, numerical solutions are obtained which are unacceptable from aphysical point of view. The introduction of higher-order deformationgradients in the constitutive model is demonstrated to be an adequate remedyto this deficiency of standard damage models. A consistent numericalsolution procedure of the governing partial differential equations ispresented, which is shown to be capable of properly simulating localizationphenomena.

AB - Conventional continuum damage descriptions of material degeneration suffer fromloss of well-posedness beyond a certain level of accumulated damage. As aconsequence, numerical solutions are obtained which are unacceptable from aphysical point of view. The introduction of higher-order deformationgradients in the constitutive model is demonstrated to be an adequate remedyto this deficiency of standard damage models. A consistent numericalsolution procedure of the governing partial differential equations ispresented, which is shown to be capable of properly simulating localizationphenomena.

U2 - 10.1002/(SICI)1097-0207(19961015)39:19<3391::AID-NME7>3.0.CO;2-D

DO - 10.1002/(SICI)1097-0207(19961015)39:19<3391::AID-NME7>3.0.CO;2-D

M3 - Article

VL - 39

SP - 3391

EP - 3403

JO - International Journal for Numerical Methods in Engineering

JF - International Journal for Numerical Methods in Engineering

SN - 0029-5981

IS - 19

ER -