Application of extended crystal plasticity to the modeling of glide and kink bands and of crack opening in single crystals

Computational Materials Science

Volumn 32, Issue 3-4, 2005, Pages 426-434

  Levkovitch, Vladislav ^a   Sievert, Rainer ^b   Svendsen, Bob ^a  

^a TU DORTMUND UNIVERSITY   (Germany)

^b BAM FEDERAL INSTITUTE FOR MATERIALS RESEARCH AND TESTING   (Germany)

Author keywords

Crack opening displacement; Geometrically necessary dislocations; Glide and kink bands; Hardening; Single crystal plasticity; Thermodynamics

Indexed keywords

COMPOSITE MICROMECHANICS; CRACK INITIATION; CRYSTAL STRUCTURE; DISLOCATIONS (CRYSTALS); HARDENING; MATHEMATICAL MODELS; PLASTICITY; SHEAR DEFORMATION; TENSORS; THERMODYNAMICS; VECTORS;

CRACK OPENING DISPLACEMENT; GEOMETRICALLY NECESSARY DISLOCATIONS (GND); GLIDE AND KINK BANDS; SINGLE CRYSTAL PLASTICITY;

SINGLE CRYSTALS;

EID: 12444339468     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2004.09.023     Document Type: Conference Paper

References (21)

1. R.J. Asaro Micromechanics of crystals and polycrystals Adv. Appl. Mech. 23 1983 1 115
2. M.F. Ashby The deformation of plastically non-homogeneous materials Philos. Mag. 21 1970 399 424
3. G. Bauer, B. Bogel, B. Fedelich, H. Klingelhöffer, J. Olschewski, W. Österle, B. Schmidt, Development of microcracks in single-crystal alloys during LCF-loading at high temperature (in German). Report BAM-V.2 01/7, Federal Institute for Materials Research and Testing (BAM), Berlin, Germany, 2001
4. P. Boubidi, S. Forest, and R. Sievert Strain localization patterns at a crack tip in generalized single crystal plasticity Scr. Mater. 44 2001 953 958
5. E.F. Busso, F.T. Meissonnier, and N.P. O'Dowd Gradient-dependent deformation of two-phase single crystals J. Mech. Phys. Solids 48 2000 2333 2361
6. A.M. Cuitiño, and M. Ortiz Computational modeling of single crystals Model. Simul. Mater. Sci. Eng. 1 1992 225 263
7. H. Dai, D.M. Parks, Geometrically-necessary dislocation density and scale-dependent crystal plasticity, in: A.S. Khan, (Ed.), Proceedings of Plasticity'97, 1997, pp. 17-18
8. S. Forest, R. Sievert, and E.C. Aifantis Strain gradient crystal plasticity: thermodynamical formulations and applications J. Mech. Behav. Mater. 13 2002 219 232
9. M.E. Gurtin On the plasticity of single crystals: free energy, microforces, plastic-strain gradients J. Mech. Phys. Solids 48 2000 989 1036
10. M.E. Gurtin A theory of viscoplasticity that accounts for geometrically necessary dislocations J. Mech. Phys. Solids 50 2002 5 32
11. R. Hill, and J.R. Rice Constitutive analysis of elastic-plastic crystals at arbitrary strain J. Mech. Phys. Solids 20 1972 401 413
12. E. Kröner Allgemeine kontinuumstheorie der versetzungen und eigenspannungen Arch. Ration. Mech. Anal. 4 1960 273 334
13. V. Levkovitch, R. Sievert, B. Svendsen, Local and extended continuum thermodynamic crystal plasticity models for additional hardening at the crack tip in single crystals, in preparation
14. L. Meric, P. Poubanne, and G. Cailletaud Single crystal modeling for structural calculations: part 1-model presentation J. Eng. Mater. Technol. 113 1991 162 170
15. J.F. Nye Some geometric relations in dislocated crystals Acta Metall. 1 1953 153 162
16. M. Ortiz, E.A. Repetto, and L. Stainier A theory of dislocation structures J. Mech. Phys. Solids 48 2000 2077 2114
17. B. Svendsen On the thermodynamics of isotropic thermoelastic materials with scalar internal degrees of freedom Cont. Mech. Thermodyn. 11 1999 247 262
18. B. Svendsen Continuum thermodynamic extensions of crystal plasticity to include the effects of geometrically-necessary dislocations on the material behaviour Rend. Sem. Mater. Univ. Pol. Torino 58 2000 209 235
19. B. Svendsen Continuum thermodynamic models for crystal plasticity including the effects of geometrically-necessary dislocations J. Mech. Phys. Solids 50 2002 1297 1329
20. B. Svendsen, J. Olschewski, and R. Sievert Crystal-plasticity-based modeling and simulation of geometrically-necessary dislocations at a crack front in ductile single crystals J. Phys. IV France 11 2001 171 177
21. J. Ziebs, H. Frenz, Influence of polished surface properties on the fatigue crack propagation in IN 738 LC and SC 16 at 650 °C. Final report of the Cooperative Research Center 339 on Turbine Blades and Disks, Technical University of Berlin, pp. D1 IV, 1997