Thermodynamically consistent nonlocal theory of ductile damage

Mechanics Research Communications

Volumn 31, Issue 3, 2004, Pages 355-363

  Stumpf, H ^a   Makowski, J ^a   Gorski, J ^a   Hackl, K ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

Brittle damage; Ductile damage; Finite elastoplasticity; Gradient elastoplasticity; Microstructure; Nonlocal damage; Size effects

Indexed keywords

ANISOTROPY; BRITTLENESS; DEFECTS; DUCTILITY; ELASTOPLASTICITY; ENERGY DISSIPATION; FREE ENERGY; KINETIC ENERGY; LAGRANGE MULTIPLIERS; MICROSTRUCTURE; STRESSES; TENSORS;

BRITTLE DAMAGE; DUCTILE DAMAGE; FINITE ELASTOPLASTICITY; GRADIENT-ELASTOPLASTICITY; NONLOCAL DAMAGE; SIZE EFFECTS;

THERMODYNAMICS;

EID: 1342264172     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2003.11.012     Document Type: Article

References (21)

1. Bažant Z.P., Pijaudier-Cabot G. J. Appl. Mech. 55:1988;287.
2. Bažant Z.P. Int. J. Eng. Mech. 117(5):1991;1070.
3. Cleja-Tigoiu S. Theor. Appl. Mech. 28:2002;93.
4. Cleja-Tigoiu S. Z. Angew. Math. Phys. 53:2002;996.
5. de Borst R., Mühlhaus H.-B. Int. J. Numer. Meths Eng. 35:1992;521.
6. de Borst R., Pamin J., Peerlings R.H.J., Sluys L.J. Comp. Mech. 17:1995;130.
7. de Borst R., Benallal A., Heeres O.M. J. Phys. IV C6. C6:1996;491.
8. Eshelby J.D. Philos. Trans. R. Soc. London A. 244:1951;87.
9. Frémond M., Nedjar B. Int. J. Solids Struct. 33:1996;1083.
10. Le K.C., Stumpf H. Int. J. Plast. 12:1996;611.
11. Le K.C., Stumpf H. Proc. R. Soc. Lond. A. 425:1996;359.
12. Leibfried G. Z. Phys. 126:1949;781.
13. Mühlhaus H.-B., Aifantis E.C. Int. J. Solids Struct. 28:1991;845.
14. Nedjar B. Int. J. Solids Struct. 38:2001;5421.
15. Peach M.O., Koehler J.S. Phys. Rev. 80:1950;436.
16. Rakotomanana, L.R., 2003. A geometric approach to thermo-mechanics of dissipative continua. Progress in Mathematical Physics Series, volume 31, Birkhäuser, Boston.
17. Saczuk J., Stumpf H., Vallée C. Int. J. Solids Struct. 38:2001;9545.
18. Shizawa K., Zbib H.M. Int. J. Plast. 15:1999;899.
19. Sluys L.J., de Borst R., Mühlhaus H.-B. Int. J. Solids Struct. 30:1993;1153.
20. Steinmann P. Int. J. Numer. Meth. Eng. 46:1999;757.
21. Stumpf H., Hackl K. Int. J. Solids Struct. 40:2003;1567.