Meshless analysis of plasticity with application to crack growth problems

Theoretical and Applied Fracture Mechanics

Volumn 41, Issue 1-3, 2004, Pages 83-94

  Chen, Y ^a   Eskandarian, A ^a   Oskard, M ^b   Lee, J D ^a  

^a GEORGE WASHINGTON UNIVERSITY   (United States)

^b U S DEPARTMENT OF TRANSPORTATION   (United States)

Author keywords

Crack growth; Fracture mechanics; Meshless method; Plasticity

Indexed keywords

ALGORITHMS; CRACK PROPAGATION; PLASTICITY; STRAIN; STRESS ANALYSIS;

MESHLESS METHODS; RATE-DEPENDENT PLASTICITY;

FRACTURE MECHANICS;

FRACTURE MECHANICS;

EID: 1842523329     PISSN: 01678442     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tafmec.2003.11.024     Document Type: Article

References (18)

1. Belytschko T. Lu Y.Y. Gu L. Element-free Galerkin methods International Journal for Numerical Methods in Engineering 37 1994 229-256
2. Jun S. Liu W.K. Belytschko T. Explicit reproducing kernel particle methods for large deformation problems International Journal for Numerical Methods in Engineering 41 1998 137-166
3. Belytschko T. Krongauz Y. Organ D. Fleming M. Krysl P. Meshless methods: an overview and recent developments Computer Methods in Applied Mechanics and Engineering 139 1966 3-47
4. Belytschko T. Guo Y. Liu W.K. Xiao S.P. A unified stability analysis of meshless particle methods International Journal for Numerical Methods in Engineering 48 2000 1359-1366
5. Chen J. Wu C. Belytschko T. Regularization of material instability by meshfree approximations with intrinsic scales International Journal for Numerical Methods in Engineering 47 2000 1303-1322
6. Chen Y. Lee J.D. Eskandarian A. Dynamic meshless method applied to nonlocal cracked problems Theoretical and Applied Fracture Mechanics 38 2002 293-300
7. Hill R. The Mathematical Theory of Plasticity 1950 Oxford University Press Oxford, UK
8. Lubliner J. A maximum-dissipation principle in generalized plasticity Acta Mechanica 52 1984 225-237
9. Lubliner J. Normality rules in large-deformation plasticity Mechanics of Materials 5 1986 29-34
10. Johnson C. On plasticity with hardening Journal of Applied Mathematical Analysis 62 1978 325-336
11. Moreau J.J. Application of convex analysis to the treatment of elastoplastic systems Germain P. Nayroles B. Applications of Methods of Functional Analysis to Problems in Mechanics 1976 Springer-Verlag Berlin
12. Simo J.C. Hughes T.J.R. Computational Inelasticity 1988 Springer-Verlag New York
13. Krieg R.D. Key S.W. Implementation of a time dependent plasticity theory into structural computer programs Stricklin J.A. Saczalski K.J. Constitutive Equations in Viscoplasticity: Computational and Engineering Aspects AMD-20 1976 ASME New York
14. Simo J.C. Kennedy J.G. Govindjee S. Non-smooth multisurface plasticity and viscoplasticity: loading/unloading conditions and numerical algorithms International Journal for Numerical Methods in Engineering 26 1988 2161-2185
15. Hungerford T.W. Algebra 1974 Springer-Verlag New York
16. Herstein J.N. Topics in Algebra 1964 Ginn and Company Waltham, MA
17. Lee J.D. Liebowitz H. Lee K.Y. The quest of a universal fracture law governing the process of slow crack growth Engineering Fracture Mechanics 55 1996 61-83
18. Lee K.Y. Liebowitz H. Lee J.D. Finite element analysis of the slow crack growth process in mixed mode fracture Engineering Fracture Mechanics 56 1997 551-577