Isotropic hardening in micropolar plasticity

Archive of Applied Mechanics

Volumn 79, Issue 4, 2009, Pages 323-334

  Grammenoudis, P ^a   Tsakmakis, Ch ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Finite deformations; Isotropic hardening rules; Micropolar plasticity; Microtorsional experiments

Indexed keywords

BOUNDARY LAYER FLOW; DEFORMATION; PLASTICITY; WIRE;

CONSTITUTIVE BEHAVIORS; COPPER WIRES; EXPERIMENTAL EVIDENCES; FINITE DEFORMATIONS; GRADIENT EFFECTS; ISOTROPIC HARDENING RULES; KINEMATIC HARDENINGS; LENGTH SCALE EFFECTS; MICROPOLAR PLASTICITY; MICROTORSIONAL EXPERIMENTS; TORSIONAL LOADINGS;

HARDENING;

EID: 60949111727     PISSN: 09391533     EISSN: 14320681     Source Type: Journal    
DOI: 10.1007/s00419-008-0236-3     Document Type: Article

References (38)

1. E. Aifantis 1992 On the role of gradients in the localization of deformation and fracture Int. J. Eng. Sci. 20 1279 1299
2. E. Aifantis 1999 Strain gradient interpretation of size effects Int. J. Fract. 95 299 314
3. E. Aifantis 2003 Update on a class of gradient theories Mech. Mater. 35 259 280
4. D. Besdo 1974 Ein Beitrag zur nichtlinearen Theorie des Cosserat-Kontinuums Acta Mech. 20 105 131
5. R. de Borst 1991 Simulation of strain localization: a reappraisal of the Cosserat continuum Eng. Comput. 8 317 332
6. 2-flow theory for polar continua Comput. Methods Appl. Mech. Eng. 103 347 362
7. de Borst, R., Mühlhaus, H.: Finite deformation analysis of inelastic materials with micro-structure. In: Besdo D., Stein E. (eds.) Finite Inelastic Deformations-Theory and Applications, IUTAM Symposium Hannover/Germany 1991, pp. 313-322. Springer, Heidelberg (1992)
8. J. Chaboche 1993 Cyclic viscoplastic constitutive equations. Part I: A thermodynamically consistent formulation J. Appl. Mech. 60 813 821
9. J. Chaboche 1993 Cyclic viscoplastic constitutive equations. Part II: Stored energy-comparison between models and experiments J. Appl. Mech. 60 822 828
10. Cosserat, E., Cosserat, F.: Théorie des Corps Déformables. Herman et fils, Paris (1909)
11. W. Diepolder V. Mannl H. Lippmann 1991 The Cosserat continuum, a model for grain rotations in metals? Int. J. Plast. 7 313 328
12. A. Dietsche K. Willam 1997 Boundary effects in elasto-plastic Cosserat continua Int. J. Solids Struct. 7 877 893
13. W. Ehlers W. Volk 1998 On theoretical and numerical methods in the theory of porous media based on polar and non-polar elasto-plastic solid materials Int. J. Solids Struct. 35 4597 4617
14. Eringen, A.: Theory of micropolar elasticity. In: , (eds) Fracture, An Advanced Treatise, pp. 621-729. Academic, New York (1968)
15. A. Eringen E. Suhubi 1964 Nonlinear theory of simple micro-elastic solids-I Int. J. Eng. Sci. 2 189 203
16. Eringen, A.: Microcontinuum field theories: I. Foundations and Solids. Springer, New York (1999)
17. N. Fleck Y. Huang W. Nix J. Hutchinson 1994 Strain gradient plasticity: theory and experiment Acta Metall. Mater. 42 475 487
18. N. Fleck J. Hutchinson 1993 A phenomenological theory for strain gradient effects in plasticity J. Mech. Phys. Solids 41 1825 1857
19. N. Fleck J. Hutchinson 2001 A reformulation of strain gradient plasticity J. Mech. Phys. Solids 49 2245 2271
20. S. Forest 1998 Modelling slip, kink and shear banding in classical and generalized single crystal plasticity Acta Mater. 9 3265 3281
21. S. Forest F. Barbe G. Cailletaud 2000 Cosserat modelling of size effects in the mechanical behaviour of polycrystals and multi-phase materials Int. J. Solids Struct. 37 7105 7126
22. P. Grammenoudis Ch. Tsakmakis 2001 Hardening rules for finite deformation micropolar plasticity: restrictions imposed by the second law of thermodynamics and the postulate of Il'iushin Contin. Mech. Thermodyn. 13 325 363
23. P. Grammenoudis Ch. Tsakmakis 2005 Finite Element implementation of large deformation micropolar plasticity exhibiting isotropic and kinematic hardening effects Int. J. Numer. Methods Eng. 62 1691 1720
24. P. Grammenoudis Ch. Tsakmakis 2005 Predictions of microtorsional experiments by micropolar plasticity Proc. R. Soc. 461 189 205
25. E. Lee D. Liu 1967 Finite strain elastic-plastic theory with application to plane-wave analysis J. Appl. Phys. 38 19 27
26. E. Lee 1969 Elastic plastic deformation at finite strain ASME Trans. J. Appl. Mech. 36 1 6
27. H. Lippmann 1969 Eine Cosserat-Theorie des plastischen Fließens Acta Mech. 8 255 284
28. Q. Ma D. Clarke 1995 Size dependent hardness of silver single crystals J. Mater. Res. 10 853 863
29. R. Mindlin H. Tiersten 1962 Effects of couple-stresses in linear elasticity Arch. Rat. Mech. Anal. 11 415 448
30. R. Mindlin 1963 Influence of couple-stresses on stress concentrations Exp. Mech. 3 1 7
31. H. Mühlhaus I. Vardoulakis 1987 The thickness of shear bands in granular materials GèOtechnique 37 271 283
32. W. Poole M. Ashby N. Fleck 1996 Micro-hardness of annealed and work-hardened copper polycrystals Scr. Mater. 34 559 564
33. P. Steinmann 1994 A micropolar theory of finite deformation and finite rotation multiplicative elastoplasticity Int. J. Solids Struct. 31 1063 1084
34. Steinmann, P., Willam, K.: Localization within the framework of micropolar elasto-plasticity. In: Brüller O., Mannl, V., Najar, J.(eds) Advances in Continuum Mechanics., pp. 296-313. Springer, Berlin (1991)
35. A. Stelmashenko M. Walls L. Brown Y. Milman 1993 Microindentations on W and Mo oriented single crystals: An STM study Acta Metall. Mater. 41 2855 2865
36. J. Stölken A. Evans 1998 A microbend test method for measuring the plasticity length scale Acta Mater. 46 5109 5115
37. J. Tejchman W. Wu 1993 Numerical study on patterning of shear bands in Cosserat continuum Acta Mech. 99 61 74
38. R. Toupin 1962 Elastic materials with couple-stresses Arch. Rat. Mech. Anal. 11 385 414