On the numerical integration of an advanced Gurson model

This article is focused on a new extended version of Gurson's model (J. Eng. Mater. Technol. 1977; 99:2–15), its numerical integration scheme and its consistent tangent matrix being within an FE code. First, this new advanced Gurson model is proposed, which is an extension of the original to ta...

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Vydáno v:	International journal for numerical methods in engineering Ročník 85; číslo 8; s. 1049 - 1072
Hlavní autoři:	Bettaieb, Mohamed Ben, Lemoine, Xavier, Duchêne, Laurent, Habraken, Anne Marie
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Chichester, UK John Wiley & Sons, Ltd 25.02.2011 Wiley John Wiley & Sons, Inc
Témata:	advanced Gurson model Algorithms anisotropic plasticity Computer simulation Engineering, computing & technology Exact sciences and technology Fundamental areas of phenomenology (including applications) implicit integration scheme Inelasticity (thermoplasticity, viscoplasticity...) Ingénierie, informatique & technologie INT LIMARC Materials science & engineering Mathematical analysis Mathematical models mixed hardening Numerical analysis Numerical integration Physics Science des matériaux & ingénierie Solid mechanics Structural and continuum mechanics tangent modulus Tangents Plastic anisotropy Constitutive equation Performance evaluation Notched test piece Numerical integration anisotropic plasticity advanced Gurson model Void fraction tangent modulus Gurson model Cavitation Modeling Tension test Inelasticity Numerical simulation Robustness implicit integration scheme Numerical stability Linearization mixed hardening
ISSN:	0029-5981, 1097-0207, 1097-0207
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Shrnutí:	This article is focused on a new extended version of Gurson's model (J. Eng. Mater. Technol. 1977; 99:2–15), its numerical integration scheme and its consistent tangent matrix being within an FE code. First, this new advanced Gurson model is proposed, which is an extension of the original to take into account plastic anisotropy and mixed (isotropic+kinematic) hardening. In this paper, only the growth phase of cavities is considered (the nucleation of new voids is ignored). Second, a new numerical algorithm for the integration of this new Gurson model is presented. The algorithm is implicit in all variables and is unconditionally stable. This algorithm is generic and could be used for other anisotropic yield functions and other hardening laws. Third, the consistent tangent matrix is computed in an explicit way by exact linearization of the constitutive equations. To check its efficiency and robustness, the proposed integration algorithm is compared, under some simplified assumptions and choices, with the algorithms of Aravas (Int. J. Numer. Meth. Engng 1987; 24:1395–1416) and Kojic (Int. J. Numer. Meth. Engng 2002; 53(12):2701–2720). The performance of the developed consistent modulus, compared to other techniques for the computation of the tangent matrix is assessed. The paper ends with numerical simulations of tensile tests on homogeneous and notched specimens. Copyright © 2010 John Wiley & Sons, Ltd.
Bibliografie:	istex:0692F400C08656588EDD6EE1EEA11D96EB370C41 ark:/67375/WNG-THLDWVSB-L ArticleID:NME3010 ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 scopus-id:2-s2.0-78751636578
ISSN:	0029-5981 1097-0207 1097-0207
DOI:	10.1002/nme.3010