An explicit formulation for multiscale modeling of bcc metals

International Journal of Plasticity

Volumn 24, Issue 12, 2008, Pages 2173-2191

  Kuchnicki, S N ^a   Radovitzky, R A ^b   Cuitino A M ^c  

^a YORK COLLEGE OF PENNSYLVANIA   (United States)

^b Massachusetts Institute of Technology Cambridge   (United States)

^c RUTGERS UNIVERSITY   (United States)

Author keywords

Crystal plasticity; Dynamic deformation; Explicit integration; Integration algorithms

Indexed keywords

ABS RESINS; BARIUM; BUILDING MATERIALS; CHROMIUM; CRYSTALLOGRAPHY; DEFORMATION; ELASTICITY; EXPERIMENTS; METALLIC GLASS; PLASTICITY; PLASTICS; POWDERS; REAL TIME SYSTEMS; STRUCTURAL METALS; TANTALUM; TESTING; TRANSITION METALS; VANADIUM; YIELD STRESS;

CRYSTAL PLASTICITY; DYNAMIC DEFORMATION; EXPLICIT INTEGRATION; HIGH STRAIN RATES; INTEGRATION ALGORITHMS;

STRAIN RATE;

EID: 51349122935     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2008.06.003     Document Type: Article

References (35)

1. Baskes R. The status role of modeling and simulation in materials science and engineering. Current Opinion in Solid State and Materials Science 4 3 (1999) 273-277
2. Bulatov V., and Kubin L. Dislocation modelling at atomistic and mesoscpic scales. Current Opinion in Solid State and Materials Science 3 6 (1998) 558-561
3. Campbell G., Foiles S., Huang H., Hughes D., King W., Lassila D., de la Rubia T., Shu J., and Smyshlyaev V. Multi-scale modeling of polycrystal plasticity: a workshop report. Materials Science and Engineering A 251 1-2 (1998) 1-22
4. Cohen R., and Gulseren O. Thermal equation of state of tantalum. Physical Review B 63 22 (2000) 224101-224111
5. Cuitiño A., and Ortiz M. Computational modeling of single crystals. Modelling and Simulation in Materials Science and Engineering 1 (1993) 255-263
6. Cuitiño A., Stainier L., Wang G., Strachan A., Cagin T., Goddard W., and Ortiz M. A multiscale approach for modeling crystalline solids. Journal of Computer Aided Material Design (2001)
7. Furnish, M., Reinhart, W., Trott, W., Chhabildas, L., Vogler, T., 2006. Variability in dynamic properties of tantalum: Spall, hugoniot elastic limit and attenuation. In: AIP Conference Proceedings. vol. 845. pp. 615-618.
8. Govindarajan R., and Aravas N. Pressure-dependent plasticity models - loading-unloading criteria and the consistent linearizarion of an integration algorithm. Communications in Numerical Methods in Engineering 11 4 (1995) 339-345
9. Graff K.F. Wave Motion in Elastic Solids (1975), Oxford University Press
10. Gulseren O., and Cohen R. High-pressure thermoelasticity of body-centered cubic tantalum. Physical Review B - Condensed Matter 65 (2002) 064103
11. Kapoor R., and Nemat-Nasser S. High rate deformation of single crystal tantalum: Temperature dependence and latent hardening. Scripta Materialia 40 2 (1999) 159-164
12. Knezevic M., Kalidindi S., and Fullwood D. Computationally efficient database and spectral interpolation for fully plastic taylor-type crystal plasticity calculations of face-centered cubic polycrystals. International Journal of Plasticity 24 7 (2008) 1264-1276
13. Kolsky H. An investigation of the mechanical properties of materials at very high rates of loading. Proceedings of the Physical Society B62 (1949) 676-700
14. Kuchnicki S., Cuitiño A., and Radovitzky R. Efficient and robust constitutive integrators for single-crystal plasticity modeling. International Journal of Plasticity 22 10 (2006) 1988-2011
15. Kuchnicki, S., Radovitzky, R., Cuitiño, A., Strachan, A., Ortiz, M., in preparation. A pressure-dependent multiscale model for bcc metals.
16. Li X. Large-strain constitutive modeling and computation for isotropic creep elastoplastic damage solids. International Journal for Numerical Methods in Engineering 38 5 (1995) 841-860
17. Li H., Yang H., and Sun Z. A robust integration algorithm for implementing rate dependent crystal plasticity into explicit finite element method. International Journal of Plasticity 24 2 (2008)
18. Ling X., Horstemeyer M., and Potirniche G. On the numerical implementation of 3d rate dependent single crystal plasticity formulations. International Journal for Numerical Methods in Engineering 63 4 (2005) 548-568
19. Lubarda V., and Krajcinovic D. Constitutive structure of the rate theory of damage in brittle elastic solids. Applied Mathematics and Computation 67 1-3 (1995) 81-101
20. McGinty R., and McDowell D. A semi-implicit integration scheme for rate independent finite crystal plasticity. International Journal of Plasticity 22 6 (2006) 996-1025
21. Meyers M.A. Dynamic Behavior of Materials (1994), John Wiley and Sons, New York
22. Moriarty J., Xu W., Soderlind P., Belak J., Yanf L., and Zhu J. Atomistic simulations for multiscale modeling in bcc metals. Journal of Engineering Materials and Technology - Transactions of the ASME 121 2 (1999) 120-125
23. Nemat-Nasser S., Isaacs J., and Starrett J. Hopkinson techniques for dynamic recovery experiments. Proceedings of the Royal Society of London A 435 1894 (1991) 371-391
24. Nemat-Nasser S., Li Y.-F., and Isaacs J.B. Experimental/computational evaluation of flow stress at high strain rates applicable to adiabatic shear banding. Mechanics of Materials 17 2-3 (1994) 111-134
25. Phillips R. Multiscale modeling in the mechanics of materials. Current Opinion in Solid State and Materials Science 3 6 (1998) 526-532
26. Phillips R., Rodney D., Shenoy V., Tadmor E., and Ortiz M. Heirarchical models of plasticity: dislocation nucleation and interaction. Modelling and Simulation in Materials Science and Engineering 7 5 (1999) 769-780
27. Reid C. Deformation Geometry for Materials Scientists (1973), Pergamon Press
28. Seeger A. Philosophical Magazine 1 (1956) 651
29. Stainier L., Cuitiño A., and Ortiz M. A micromechanical model of hardening, rate sensitivity, and thermal softening in bcc crystals. Journal of the Mechanics and Physics of Solids 50 7 (2002) 1511-1545
30. Strachan, A., Cagin, T., Gülseren, O., Mukherjee, S., Cohen, R., III, W.G., 2004. First principles force field for metallic tantalum. Modelling and Simulation in Materials Science and Engineering 12 (S445), 1-15.
31. Svoboda A., Lindgren L., and Oddy A. The effective stress function algorithm for pressure-dependent plasticity applied to hot isostatic pressing. International Journal for Numerical Methods in Engineering 43 4 (1998) 587-606
32. Vitek V., Mrovec A., Groger R., Bassani J., Racherla V., and Lin Y. Effects of non-glide stresses on the plastic flow of single and polycrystals of molybdenum. Materials Science and Engineering A - Structural Material Properties, Microstructure and Processing 387 (2004) 138-142
33. Wang, G., Strachan, A., Cagin, T., III, W.G., 2004. Calculating the peierls energy and peierls stress from atomic simulations of screw dislocation dynamics: application to bcc tantalum. Modelling and Simulation in Materials Science and Engineering 12 (S371), 1-19.
34. Zhao H. Material behaviour characterisation using SHPB techniques, tests and simulations. Computers & Structures 81 (2003) 1301-1310
35. Zhao Z., Kuchnicki S., Cuitiño A., and Radovitzky R. Influence of in-grain resolution on the accuracy of f.c.c. deformation texture simulation. Acta Materialia 55 7 (2007) 2361-2373