Dislocation-based plasticity at high-strain-rates in solids

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn 6, Issue , 2004, Pages 4296-4308

  Lu, Xia ^a   Hanagud, Sathya V ^a  

^a Georgia Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; DISLOCATIONS (CRYSTALS); ENTROPY; HEAT AFFECTED ZONE; PLASTIC FLOW; PLASTICITY; POLYCRYSTALLINE MATERIALS; STRAIN; THERMODYNAMICS; THERMOELASTICITY;

EVOLUTION EQUATIONS; SHEAR BANDS; STRAIN RATES; THERMODYNAMIC FLUXES;

CONTINUUM MECHANICS;

EID: 16244378044     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2004-1920     Document Type: Conference Paper

References (73)

1. Adkins, C. J., 1968. Equilibrium Thermodynamics. McGraw-Hill Publishing Co. Ltd, London.
2. Aifantis, E. C., 1984. On the microstructural origin of certain inelastic models. ASME, J. Eng. Mater. Tech. 106, 326-330.
3. Armstrong, R. W., Zerilli, F. J., 1994. Dislocation mechanics aspects of plastic instability and shear banding. Mechanics of Materials 17, 319-327.
4. Bassani, J. L., 2001. Incompatibility and a simple gradient theory of plasticity. J Mech Phys Solids 49(9), 1983-1996.
5. Bilby, B.A., Bullough, R., Smith, E., 1955. Continuous distributions of dislocations: a new application of the methods of non-Riemannian geometry. Proc. Roy. Soc. London A 231, 263-273.
6. e Congrès International de Mécanique Appliquée, Brussels, 35-44.
7. Bridgman, P. W., 1943. The Nature of Thermodynamics. Harvard University Press, Cambridge.
8. Buchdahl, H. A., 1966. The Concepts of Classical Thermodynamics. Cambridge Univ. Press, Cambridge.
9. Capriz, G., 1989. Continua with Microstructures. Springer-Verlag, New York.
10. Casimir, H. B. G., 1945. On Onsager's principle of microscopic reversibility. Rev. Modern Phys. 17(2,3), 343-350.
11. Coleman, B. D., Gurtin, M. E., 1967. Thermodynamics with internal state variables. J. Chem. Phys. 47(2), 597-613.
12. Devincre, B., Condat, M., 1992. Model validation of a 3D simulation of dislocation dynamics: discretization and line tension effects. Act Metall. Mater. 40, 2629-2637.
13. Dillon, O.W., 1977. Strain gradients in plasticity. Acta Mech. 26,189-200.
14. Drucker, D. C., 1959. A definition of stable inelastic material. ASME J. Appl. Mech. 26, 101-106.
15. El-Azab, A., 2000. Statistical mechanics treatment of the evolution of dislocation distributions in single crystals. Phys. Rev. B 61(18), 11 956-11 966.
16. Ericksen, J. L., 1998. On nonlinear elasticity theory for crystal defects. Int. J. of Plasticity 14(1-3), 9-24.
17. Eringen, A. C., Kadafar, C. B., 1976. Continuum physics. Volume IV: Polar and nonlocal field theories. Academic Press, New York.
18. Forest, S., Sievert, R., Aifantis, E. C., 2002. Strain gradient crystal plasticity: Thermomechanical formulation and applications. J Mech. Behavior Mater. 13, 219-232.
19. Forrestal, M. J., Frew, D. J., Honchak, S. J., and Brar, N. S., "Penetration of ground and concrete targets with ogive-nose steel projectiles", Int. J. Impact Eng., 18, 5, pp. 465-476, 1996.
20. Frew, D.J., Hanchak, S.J., Green, M.L., and Forrestal, M.J., "Penetration of Concrete Targets with Ogive-Nose Steel Rods", International Journal of Impact Engineering, Vol. 21, No. 6, 1998, pp. 489-497.
21. Fung, Y. C., 1965. Foundations of Solid Mechanics. Prentice-hall Inc., Englewood Cliffs, NJ.
22. Guinier, A., and Jullien, R., translated by Duffin, W. J., The solid state from superconductors to superalloys, Int. Union of Crystallography, Oxford University Press, 1989.
23. Gulluoglu, A. N., Hartley, C. S., 1992. Simulation of dislocation microstructures in two dimensions: I Relaxed structures. Modell. Simul. Sci. Eng. 1(1), l-17.
24. Gulluoglu, A. N., Hartley, C. S., 1993. Simulation of dislocation microstructures in two dimensions: II Dynamic and relaxed structures. Modell. Simul. Sci. Eng. 1(4), 383-402.
25. Gurtin, M. E., 2000. On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients. J. Mech. Phys. Solids 48(5), 989-1036.
26. Hähner, P., 1996. On the foundations of stochastic dislocation dynamics. Applied Physics A: Mater. Sci. Proc. 62(5), 473-481.
27. Hartley, C. S., 2002. A method for linking thermally activated dislocation mechanisms of yielding with continuum plasticity theory. In: International Conf. On Multiscale Materials Modeling. 17-20 June 2002, Queen Mary University, London, UK.
28. Hill, R., 1948. A theory of the yielding and plastic flow of anisotropic metals. Proc. Roy. Soc. Lond. A193, 281-297.
29. Horstemeyer, M. F., McDowell, D. L., McGinty, R. D., 1999. Design of experiments for constitutive model selection: Application to polycrystal elastoviscoplasticity. Modelling Simul. Mater. Sci. Eng. 7, 253-273.
30. th ed. Butterrworth-Heinemann, Oxford - Boston.
31. Hutchison, T. S., Baird, D. C., 1967. The Physics of Engineering Solids. John Wiley & Sons, Inc.
32. Jou, D., Casas-Vazquez, J., Lebon, G., 1996. Extended Irreversible Thermodynamics. Springer, Berlin - New York.
33. Jou, D., Casas-Vazquez, J., Lebon, G., 1998. Recent bibliography on extended irreversible thermodynamics and related topics (1995-1998). J Non-Equilib. Thermodyn. 23, 277-297.
34. Kestin, J., 1992. Local-equilibrium formulism applied to mechanics of solids. Int. J. Solids Struct. 29(14-15), 1827-1836.
35. Kinra, V.K., Bishop, J.E., Milligan, B.K., 1993. Elasothermodynamic damping in metal-matrix composites. Metal Matrix Composites 1, 311.
36. Klassen-Neklyudova, M. V., 1962. Plasticity of crystals. Consultants Bureau Enterprises, Inc, New York.
37. Kröner, E., 1995. Dislocations in crystals and in continua: a confrontation. Int. J. Eng. Sci. 33(15), 2127-2135.
38. Kröner, E., 2001. Benefits and shortcomings of the continuous theory of dislocations. Int. J. Solids Struct. 38, 1115-1134.
39. Kubin, L.P., and Canova, G., 1992. The modeling of dislocation patterning. Scripta Metall. 27, 957-962.
40. Lee, E. H., 1969. Elastic-plastic deformation at finite strain. J. Appl. Mech. 36, 1-6.
41. Le, K. C., Stumpf, H., 1996. Nonlinear continuum theory of dislocations. Int. J. Engng Sci. 34(3), 339-358.
42. Lu, X. (Advisor: S. Hanagud), 2002. Nonequilibrium thermodynamic models for the dynamic behavior of polycrystalline solids. Ph.D. thesis, Georgia Institute of Technology.
43. Makowski, J., and Stumpf, H., 2001. Thermodynamically based concept for the modeling of continua with microstructure and evolving defects. Int. J. of Solids and Structures 38, 1943-1961.
44. Maugin, G. A., 1992. The Thermomechanics of Plasticity and Fracture. Cambridge University Press, Cambridge, New York.
45. Maugin, G. A., Muschik, W., 1994. Thermodynamics with internal variables Part I: General concepts. J. Non-Equilib. Thermodyn. 19, 217-249.
46. Maugin, G. A., Muschik, W., 1994. Thermodynamics with internal variables Part II: Applications. J. Non-Equilib. Thermodyn. 19, 250-289.
47. McDowell, D. L., 2000. Modeling and experiments in plasticity. Int. J. of Solids and Structures 37, 293-309.
48. Meyers, M. A., 1994. Dynamic Behavior of Material. Jon Wiley & Sons, Inc.
49. Montgomery, R. S., 1976. Friction and wear at high sliding speeds. Wear 36, 275-298.
50. Müller, I., Ruggeri, T., 1998. Rational Extended Thermodynamics, Springer, New York.
51. Muschik, W., 1990. Aspects of Nonequilibrium Thermodynamics: Six Lectures on Fundamentals and Methods. World Scientific, Singapore - New Jersey.
52. Needleman, A., and van der Giessen, E., "Discrete dislocation and continuum descriptions of plastic flow," Mater. Sci. and Eng. A309-310 (2001), pp. 1-13
53. Phillips, R., Rodney, D., Shenoy, V., Tadmor, E., Ortiz, M., 1999. Hierarchical models of plasticity: Dislocation nucleation and interaction. Modelling Simul. Mater. Sci. Eng. 7(5), 769-780.
54. Politano, O., Salazar, J.M., 2001. A 3D mesoscopic approach for discrete dislocation dynamics. Mater. Sci. Eng. A309-310, 261-264.
55. Rosakis, P., Rosakis, A. J., Ravichandran, G., Hodowany, J., 2000. A thermodynamic internal variable model for partition of plastic work into heat and stored energy in metals. J. Mech. Phys. Solids 48(3), 581-607.
56. Seefeldt, M., Klimanek, P., 1998. Modelling of flow behavior of metals by means of a dislocation-disclination reaction kinetics. Modell Simul Mater Sci Eng. 6(4), 349-360.
57. Shizawa, K., Kikuchi, K., and Zbib, H. M., 2001. A strain-gradient thermodynamic theory of plasticity based on dislocation density and incompatibility tensors. Materials Science and Engineering A (309-310), 416-419.
58. Shu, J. H., Fleck, N. A., 1999. Strain gradient crystal plasticity: size-dependent deformation of bicrystals. J. Mech. Phys. Solids 47, 297-324.
59. Taylor, G.I., 1947. A connexion between the criterion of yield and the strain ratio relationship in plastic solids. Proc. Roy. Soc. Lond. A191, 441-446.
60. Tabourot, L., Fivel, M., Rauch, E., 1997. Generalized constitutive laws for fee single crystals. Materials Sci. and Engng A234-236, 639-642.
61. Teodosiu, C., 1970. Fundamental aspects of dislocation theory. Edited by Simmons, J. A., Dewit, R., and Bullough, R. NBS Special Pub. 317, Volume II, 837.
62. Truesdell, C., 1984. Rational thermodynamics. Springer-Verlag, New York.
63. van der Giessen, E. and Needleman, A., 1995. Discrete dislocation plasticity: a simple planar model. Modelling Simul. Mater. Sci. Eng. 3, 689-735.
64. Verdier, M., Fivel, M., and Groma, I., "Mesoscopic scale simulation of dislocation dynamics in fee metals: Principles and applications", Modelling Simul, Mater. Sci. Eng., v 6, 1998, pp. 755-770
65. Wang, T. C., Zhang, Y. W., Chua, S. J., 2001. Dislocation evolution in epitaxial multilayers and graded composition buffers. Acta Mater. 49(9), 1599-1605.
66. Zaiser, M., 1998. A generalized composite approach to the flow stress and strain hardening of crystals containing heterogeneous dislocation distributions. Mater. Sci. Eng. A249, 145-151.
67. Zaiser, M., Aifantis, E.C., 1998. On the dynamic interaction between moving dislocations. Appl. Phys. A 66(4), 393-397.
68. Zaiser, M., Hähner, P., 1999. The flow stress of fractal dislocation arrangements. Mater. Sci. and Eng. A270, 299-307.
69. Zaiser, M., 2001. Statistical modeling of dislocation systems. Mater. Sci. and Eng. A309-310, 304-315.
70. Zbib, H. M., Aifantis, E. C., 1989. A gradient-dependent flow theory of plasticity: Application to metal and solid instabilities. Appl. Mech. Rev. 42, S.296-S.304.
71. Zbib, H. M., 1998. Instabilities and size effects in plasticity: Continuum and dislocation approaches. In: IUTAM symposium on Material Instabilites in Solids. Eds. de Borst, R., van der Giessen, E. Wiley & Sons, 473-486.
72. Zbib, H. M., de la Rubi, T. D., 2002. Multiscale model of plasticity. Int. J. Plast. 18, 1133-1163.
73. Zener, C., 1947. Stress induced preferential ordering of pairs of solute atoms in metallic solid solution. Phys. Rev. 71, 34-38.