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The contribution of plastic strain evolution of mobile and forest dislocation densities to the thermal and athermal components of polycrystalline metals flow stress is investigated in this work. The thermomechanical response is characterized here for body centered cubic (bcc), face centered cubic (fee) and hexagonal close-packed (hep) structures of metals at low and high strain rates and temperatures. Consequently, the simulation of the plastic flow stress for these metals is developed based on the concept of thermal activation energy, the additive decomposition of the flow stress, dislocations interaction mechanisms and the role of dislocations dynamic in crystals. The material parameters of the proposed modeling are physically defined and related to the nano- and micro-structure quantities. On the other hand, the hardening parameters of each kind of metal structures are presented in two different forms; physically based definition which is developed, based on the aforementioned concepts and empirical relation which is used by several authors and is based on experimental observations. Several experimental data obtained by different authors for Niobium, Tantalum, Vanadium, Oxygen Free High Conductivity (OFHC) Copper, and Titanium are used in evaluating the proposed models. Good correlation is observed between the proposed models predictions and the experimental observations. Moreover, the predicted results show that the effect of mobile and forest dislocation densities evolution with plastic strain on the thermal stress of bcc metals is almost negligible and pertained totally to the athermal stress part, whereas the plastic strain evolution of these dislocation densities play crucial roles in determining the plastic thermal flow stress of most fee metals. The thermal and athermal flow stresses for hep metals, however, show a behavior that is a combination of that for both bcc and fee plastic deformation models.
Czasopismo
Rocznik
Tom
Strony
299--343
Opis fizyczny
Bibliogr. 61 poz., wykr.
Twórcy
autor
- Department of Civil and Environmental Engineering Louisiana State University, Baton Rouge, LA 70803 USA
autor
- Department of Civil and Environmental Engineering Louisiana State University, Baton Rouge, LA 70803 USA
Bibliografia
- 1. Abed, F.H., Voyiadjis, G.Z., Plastic deformation modeling of AL-6XN stainless steel at low and high strain rates and temperatures using a combination of bcc and fcc mechanisms of metals, Accepted in International Journal of Plasticity, 21, 1618–1639, 2004.
- 2. Aifantis, E.C., The physics of the plastic deformation, International Journal of Plasticity, 3, 211–247, 1987.
- 3. Ashby, M.F., The deformation of plasticity non-homogenous alloys, Philosophical Magazine 21, 399–424, 1970.
- 4. Ashby, M.F., Frost, H.J., The Kinematics of inelastic deformation above 0Ko, [in:] Argon, A.S. [Ed.], Constitutive Equations of Plasticity., 117, 1975.
- 5. Armstrong, R.W., Ramachandran, V., Zerilli, F.J.,[in:] Materials for Advanced Technology System, Indian Institute of Metals Symposium, India 1993.
- 6. Bammann, D.J., Aifantis, E.C., On a proposal of continuum with microstructure, Acta Mechanica 45, 91–125, 1982.
- 7. Bammann, D.J., Aifantis, E.C., A model for finite-deformation plasticity, Acta Mechanica 69, 97–117, 1987.
- 8. Bammann, D.J., A model of crystal plasticity containing a natural length scale, Material Sciences and Engineering A309–310, 406–410, 2001.
- 9. Barlat, F., Glazov, M.V., Brem, J.C., Lege, D.J., A simple model for dislocation behavior, strain and strain rate hardening evolution in deforming aluminum alloys, International journal of Plasticity, 18, 919–939, 2002.
- 10. Bechtold, J.H., Acta Metallurgica. 3, 249, 1955.
- 11. Bell, J.F., Crystal plasticity, Philosophical Magazine 11, 1135–1145, 1965.
- 12. Cheng, J., Nemat-Nasser, S., A model for experimentally-observed high strain rate dynamic strain aging in titanium, Acta Materialia. 48, 3131–3144, 2000.
- 13. Chichili, D., Ramesh, K., Hemker, K., The high-strain response of Alpha titanium: experimental, deformation mechanisms and modeling, Acta Materialia. 46, 1025–1043, 1998.
- 14. Christian, J.W., Some surprising features of the plastic deformation of body-centered cubic metals and alloys, Metallurgical Transactions A14, 1237–1256, 1983.
- 15. Follansbee, P.S., Regazzoni, G., Kocks, U.F., Transition to drag-controlled deformation in copper at high strain rates, Institute of Physics Conference Series. 70, 71–80, 1984.
- 16. Friedel, J., Dislocations, Pergamon Press Oxford 1964.
- 17. Hirth, J.P., Nix, W.D., An analysis of the thermodynamics of dislocation glide, Physica Status Solidi. 35, 177–188, 1969.
- 18. Hoge, K., Mukhejee, K., The temperature and strain rate dependence of the flow stress of tantalum, Journal of Material Science. 12, 1666–1672, 1977.
- 19. Gillis, P.P., Gilman, J.J., Dynamical dislocation theory of crystal plasticity, Journal of Applied Physics. 36, 3370–3380, 1965.
- 20. Gracio, J.J., Effect of grain size on substructural evolution and plastic behavior of copper, Material Science and Engineering, A118, 97–105, 1989.
- 21. Jassby, K.M., Vreeland, T., An experimental study of mobility of edge dislocations in pure copper single crystals, Philosophical Magazine 21, 1147–1159, 1970.
- 22. Johnson, G., Cook, W., Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures, Engineering Fracture Mechanics. 21, 31–48, 1988.
- 23. Kapoor, R. and Nemat-Nasser, S., Determination of temperature rise during high strain rate deformation, Mechanics of Materials. 27, 1–12, 1998.
- 24. Kelly, J.M., Gillis, P.P., Continuum descriptions of dislocations under stress reversals, Journal of Applied Physics. 45, 1091–1096, 1974.
- 25. Klepaczko, J.R., Modeling of structural evolution at medium and high strain rates, FCC and BCC metals, [in:] Constitutive Relations and Their Physical Basis. Roskilde, Denmark 387–395, 1987.
- 26. Klepaczko, J.R., A general approach to rate sensitivity and constitutive modelin of fcc and bcc metals, In Impact Effects of Fast Transient Loading, A.A. Balkema, Rotterdam 3–10, 1988.
- 27. Klepaczko, J.R., Rezaig, B., A numerical study of adiabatic shear bending in mild steel by dislocation mechanics based constitutive relations, Mechanics of Materials, 24 125–139, 1996.
- 28. Kocks, U.F., Argon, A.S., Ashby, M.F., Thermodynamics and kinetics of slip, Progress in Materials Science, 19, Pergamon, Oxford 1975.
- 29. Kocks, U.F., Realistic constitutive relations for metal plasticity, Material Science and Engineering, A317, 181–187, 2001.
- 30. Kubin, L.P., Reviews on the Deformation Behavior of Materials, 4, 181–275, 1982.
- 31. Kubin, L.P., Estrin, Y., Evolution for dislocation densities and the critical conditions for the Portevin-le Chatelier effect, Acta Metallurgical Materialia, 38, 697–708, 1990.
- 32. Kubin, L.P., Shihab, K., The rate dependence of the Portevin-Le Chatelier effect, Acta Metallurgica, 36, 2707–2718, 1988.
- 33. Lennon, A.M., Ramesh, K.T., The influence of crystal structure on the dynamic behavior of materials at high temperatures, International journal of Plasticity, 20, 269–290, 2004.
- 34. Li, J.C., Kinetics and dynamics in dislocation plasticity, Dislocation Dynamics, McGraw-Hill, 87–116, 1968.
- 35. Louat, N., On the theory of the Portevin-Le Chatelier effect, Scripta Metallurgica, 15, 1167-1170, 1981.
- 36. Mitchel, T.E., Spitzig, W.A., Three-stage hardening in tantalum single crystals, Acta Metall., 13, 1169–1179, 1965.
- 37. Mordike, B.L., Rudolph, G., Three-stage hardening in tantalum deformed in compression J. Mater. Sci., 2, 332–338, 1967.
- 38. Nabarro, F.R.N., Basinski, Z.S., Holt, D.B., The plasticity of pure single crystals, Advances in Physics, 13, 193–323, 1964.
- 39. Nadgornyi, E.M., Dislocation dynamics and mechanical properties of crystals, Progress in Materials Science, 31, 473–510, 1988.
- 40. Nemat-Nasser, S. and Li, Y., Flow Stress of F. C.C. Polycrystals with Application to OFHC Cu,, Acta Materialia, 46 565–577, 1998.
- 41. Nemat-Nasser, S., Isaacs, J., Direct measurement of isothermal flow stress of metals at elevated temperatures and high strain rates with application to Ta and Ta-W alloys, Acta Metallurgica, 45, 907–919, 1997.
- 42. Nemat-Nasser, S. and Li, Y., Flow Stress of F. C.C. Polycrystals with Application to OFHC Cu, Acta Materialia, 46, 565–577, 1998.
- 43. Nemat-Nasser, S., Guo, W., Cheng, J., Mechanical properties and deformation mechanisms of a commercially pure titanium, Acta Materialia, 47, 3705–3720, 1999.
- 44. Nemat-Nasser, S. and Guo, W., Flow stress of commercially pure niobium over a broad range of temperature and strain rates, Material Science Engineering. A284, 202–210, 2000.
- 45. Nemat-Nasser, S. and Guo, W., High strain rate response of commercially pure vanadium, Mechanics of Materials 32, 243–260, 2000.
- 46. Nemat-Nasser, S., Guo, W. and Kihl, D., Thermomechanical response of AL-6XN stainless steel over a wide range of strain rates and temperatures, Journal of Mechanics and Physics Solids, 49, 1823–1846, 2001.
- 47. Orowan, E., Discussion in Symposium on internal stresses in metals and alloys. Institute of Metals, London, 451, 1948.
- 48. Rusinek, A. Klepaczko, J.R., Shear testing of a sheet steel at wide range of strain rates and a constitutive relation with strain-rate and temperature dependence of the flow stress, International Journal of Plasticity, 17, 87–115, 2001.
- 49. Sackett, S.J., Kelly, J.M., Gillis, P.P., A probabilistic approach to polycrystalline plasticity, Journal of Franklin Institute, 304, 33–63, 1977.
- 50. Stein, D.L., Low, J.R., Mobility of edge dislocations in silico-iron crystals, Journal of Applied Physics. 31, 362–369, 1960.
- 51. Tanner, A., McGinty, R., McDowell, D., Modeling temperature and strain rate history effects in OFHC Copper, International Journal of Plasticity, 15, 575–603, 1999.
- 52. Taylor, G.I.,Plastic strain in metals, Journal of Inst. Metals, 62, 307–324, 1938.
- 53. Taylor, G., Thermally-activated deformation of bcc metals and alloys, Progress in Material Science, 36, 29–61, 1992.
- 54. Vitek, V., Duesbury, M.S., Plastic anisotropy in bcc transition metals, Acta Materialia, 46, 1481–1492, 1998.
- 55. Voyiadjis, G.Z., Abed, F.H., Microstructural based models for bcc and fcc metal with temperature and strain rate dependency, Mechanics of Materials, 37, 355–378, 2005.
- 56. Vreeland, T., Jassby, K.M., Temperature dependent viscous drag in close-packed metals, Material Science and Engineering, 7, 95–103, 1971.
- 57. Yoo, M.H., Morris, J.R., Ho, K.M., Agnew, S.R., Nonbasal deformation modes of hcp metals and alloys: role of dislocation source and mobility, Metallurgical Materialia Transaction, 33, 813–822, 2002.
- 58. Zaiser, M., Glazov, M., Lalli, L.A., Richmond, O., On the relations between strain and strain-rate softening phenomena in some metallic materials: a computational study, Journal of Computational Material Science, 15, 35–49, 1999.
- 59. Zerilli, F.J., Armstrong, R.W., Dislocation-mechanics-based constitutive relations for material dynamics calculation, Journal of Applied Physics, 5, 1816–1825, 1987.
- 60. Zerilli, F.J., Armstrong, R.W., The effect of dislocation drag on the stress-strain behavior of fcc metals, Acta Metallurgical and Materialia, 40, 1803–1808, 1992.
- 61. Zhao, M., Slaughter, W.S., Li, M., Mao, S.X., Material-length-scale-controlled nano-indentation size effects due to strain gradient plasticity, Acta Materialia, 51, 4461–4469, 2003.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0006-0073