Quasi-Static Evolution for the Armstrong-Frederick Hardening-Plasticity Model

被引：17

作者：

Francfort, Gilles A. ^{[1
]}

Stefanelli, Ulisse ^{[2
]}

机构：

[1] Univ Paris 13, Inst Univ France, LAGA, Ave J-B Clement, F-93430 Villetaneuse, France

[2] Ist Matemat Applicata Tecnol Informatiche E, CNR, I-27100 Pavia, Italy

来源：

APPLIED MATHEMATICS RESEARCH EXPRESS | 2013年 / Oxford University Press卷 / 02期

关键词：

D O I：

10.1093/amrx/abt001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Armstrong-Frederick model for nonlinear kinematic hardening is regarded as a benchmark model in contemporary elastoplasticity. This work presents an existence result to an appropriately time-rescaled evolution for that model. To do so, we have to resort to a regularization of the dependence of the convex of plasticity upon the back stress. Such a regularization process seems to be the unfortunate price one has to pay for a successful mathematical analysis.

引用

页码：297 / 344

页数：48

共 50 条

[1] The Armstrong-Frederick cyclic hardening plasticity model with Cosserat effects
Chelminski, Krzysztof
Neff, Patrizio
Owczarek, Sebastian
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (11) : 3497 - 3523
[2] A first regularity result for the Armstrong-Frederick cyclic hardening plasticity model with Cosserat effects
Chelminski, Krzysztof
Neff, Patrizio
Owczarek, Sebastian
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 423 (01) : 283 - 304
[3] Characteristics of the Armstrong-Frederick type plasticity models
Jiang, YY
Kurath, P
[J]. INTERNATIONAL JOURNAL OF PLASTICITY, 1996, 12 (03) : 387 - 415
[4] Geometrical numerical algorithms for a plasticity model with Armstrong-Frederick kinematic hardening rule under strain and stress
Liu, CS
Li, CF
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2005, 63 (10) : 1396 - 1423
[5] On the numerical algorithm for isotropic-kinematic hardening with the Armstrong-Frederick evolution of the back stress
Lubarda, VA
Benson, DJ
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2002, 191 (33) : 3583 - 3596
[6] QUASI-STATIC EVOLUTION FOR A MODEL IN STRAIN GRADIENT PLASTICITY
Giacomini, Alessandro
Lussardi, Luca
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2008, 40 (03) : 1201 - 1245
[7] QUASI-STATIC EVOLUTION IN NONASSOCIATIVE PLASTICITY: THE CAP MODEL
Babadjian, J. -F.
Francfort, G. A.
Mora, M. G.
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2012, 44 (01) : 245 - 292
[8] Strain space formulation of the Armstrong-Frederick family of plasticity models
Wang, HY
Barkey, ME
[J]. JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY-TRANSACTIONS OF THE ASME, 1998, 120 (03): : 230 - 235
[9] A plasticity model with microstructure evolution for quasi-static granular flows
Sun, Jin
Sundaresan, Sankaran
[J]. IUTAM-ISIMM SYMPOSIUM ON MATHEMATICAL MODELING AND PHYSICAL INSTANCES OF GRANULAR FLOWS, 2010, 1227 : 280 - 289
[10] Variational inequality in classical plasticity. Applications to Armstrong-Frederick elasto-plastic model
Cleja-Tigoiu, S.
Stoicuta, N. E.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 77 (11) : 2953 - 2970

← 1 2 3 4 5 →