Extension of the Gurson model accounting for the void size effect

Jie Wen; Keh Chih Hwang; Yonggang Huang

doi:10.1007/s10409-005-0014-1

Extension of the Gurson model accounting for the void size effect

Jie Wen, Keh Chih Hwang^*, Yonggang Huang

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

A continuum model of solids with cylindrical microvoids is proposed based on the Taylor dislocation model. The model is an extension of Gurson model in the sense that the void size effect is accounted for. Beside the void volume fraction f, the intrinsic material length l becomes a parameter representing voids since the void size comes into play in the Gurson model. Approximate yield functions in analytic forms are suggested for both solids with cylindrical microvoids and with spherical microvoids. The application to uniaxial tension curves shows a precise agreement between the approximate analytic yield function and the exact parametric form of integrals.

Original language	English (US)
Pages (from-to)	142-150
Number of pages	9
Journal	Acta Mechanica Sinica/Lixue Xuebao
Volume	21
Issue number	2
DOIs	https://doi.org/10.1007/s10409-005-0014-1
State	Published - Apr 2005

Keywords

Gurson model
Taylor dislocation model
Void size effect
Yield condition

ASJC Scopus subject areas

Computational Mechanics
Mechanical Engineering

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10.1007/s10409-005-0014-1

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title = "Extension of the Gurson model accounting for the void size effect",

abstract = "A continuum model of solids with cylindrical microvoids is proposed based on the Taylor dislocation model. The model is an extension of Gurson model in the sense that the void size effect is accounted for. Beside the void volume fraction f, the intrinsic material length l becomes a parameter representing voids since the void size comes into play in the Gurson model. Approximate yield functions in analytic forms are suggested for both solids with cylindrical microvoids and with spherical microvoids. The application to uniaxial tension curves shows a precise agreement between the approximate analytic yield function and the exact parametric form of integrals.",

keywords = "Gurson model, Taylor dislocation model, Void size effect, Yield condition",

author = "Jie Wen and Hwang, {Keh Chih} and Yonggang Huang",

note = "Funding Information: Acknowledgements Y.H. acknowledges the support from NSF (0084980), ONR (N00014-01-1-0205, Program Officer Dr. Y.D.S. Rajapakse), andASCI Center for Simulation ofAdvanced Rockets at the University of Illinois supported by US Department of Energy through the University of California under subcontract B523819. Funding Information: ∗The project supported by the National Natural Science Foundation of China (20020003023) and the Ministry of Education (key grant 0306)",

year = "2005",

month = apr,

doi = "10.1007/s10409-005-0014-1",

language = "English (US)",

volume = "21",

pages = "142--150",

journal = "Acta Mechanica Sinica/Lixue Xuebao",

issn = "0567-7718",

publisher = "Springer Verlag",

number = "2",

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T1 - Extension of the Gurson model accounting for the void size effect

AU - Wen, Jie

AU - Hwang, Keh Chih

AU - Huang, Yonggang

N1 - Funding Information: Acknowledgements Y.H. acknowledges the support from NSF (0084980), ONR (N00014-01-1-0205, Program Officer Dr. Y.D.S. Rajapakse), andASCI Center for Simulation ofAdvanced Rockets at the University of Illinois supported by US Department of Energy through the University of California under subcontract B523819. Funding Information: ∗The project supported by the National Natural Science Foundation of China (20020003023) and the Ministry of Education (key grant 0306)

PY - 2005/4

Y1 - 2005/4

N2 - A continuum model of solids with cylindrical microvoids is proposed based on the Taylor dislocation model. The model is an extension of Gurson model in the sense that the void size effect is accounted for. Beside the void volume fraction f, the intrinsic material length l becomes a parameter representing voids since the void size comes into play in the Gurson model. Approximate yield functions in analytic forms are suggested for both solids with cylindrical microvoids and with spherical microvoids. The application to uniaxial tension curves shows a precise agreement between the approximate analytic yield function and the exact parametric form of integrals.

AB - A continuum model of solids with cylindrical microvoids is proposed based on the Taylor dislocation model. The model is an extension of Gurson model in the sense that the void size effect is accounted for. Beside the void volume fraction f, the intrinsic material length l becomes a parameter representing voids since the void size comes into play in the Gurson model. Approximate yield functions in analytic forms are suggested for both solids with cylindrical microvoids and with spherical microvoids. The application to uniaxial tension curves shows a precise agreement between the approximate analytic yield function and the exact parametric form of integrals.

KW - Gurson model

KW - Taylor dislocation model

KW - Void size effect

KW - Yield condition

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U2 - 10.1007/s10409-005-0014-1

DO - 10.1007/s10409-005-0014-1

M3 - Article

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VL - 21

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EP - 150

JO - Acta Mechanica Sinica/Lixue Xuebao

JF - Acta Mechanica Sinica/Lixue Xuebao

IS - 2

ER -

Extension of the Gurson model accounting for the void size effect

Abstract

Keywords

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