Dislocation field evolution and dislocation source/sink function

Acta Geophysica Polonica

Volumn 46, Issue 1, 1998, Pages 13-33

  Teisseyre, Roman ^a   Nagahama, Hiroyuki ^a,b  

^a INSTITUTE OF GEOPHYSICS   (Poland)

^b TOHOKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

DISLOCATION DENSITY; SEISMICITY; SOURCE/SINK FUNCTION;

EID: 0031871737     PISSN: 00015725     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (59)

1. Aifantis, E.C., 1982, Dislocation kinematics and the formation of deformation bands. In: G.C. Sih and J.W. Provan (eds.), "Defects Fracture and Fatigue", 75-84, Martinus-Nijhoff.
2. Aifantis, E.C., 1984, On the microstructural origin of certain inelastic models, Trans. ASME., 106, 326-330.
3. Aifantis, E.C., 1985, On dislocation patterns. In: H. Suzuki, T. Ninomiya, K. Sumino and S. Takeuchi (eds.), "Dislocations in Solids", 41-47, Univ. Tokyo Press, Yamada Sciences Formation, Tokyo.
4. Aifantis, E.C., 1986, On the dynamical origin of dislocation patterns, Mater. Sci. Eng., 81, 563-574.
5. Aifantis, E.C., 1987, The physics of plastic deformation, Inter. J. Plasticity, 3, 211-247.
6. Alexander, H., and P. Haasen, 1968, Dislocation and plastic flow in the diamond structure, Solid State Phys., 22, 27-159.
7. Anthony, K., U. Essmann, A. Seeger and H. Truble, 1968, Disclinations and the Cosserat-continuum with incompatible rotations. In: E. Kröner (ed.), "Mechanics of Generalized Continua", 355-358, Springer-Verlag, Berlin.
8. Bammann, D.J., and E.C. Aifantis, 1982, On a proposal for a continuum with microstructure, Acta Mechanica, 45, 91-121.
9. Caglioti, G., and C.E. Bottani, 1988, Nonlinear mechanical properties. In: S. Lundqvist, N.H. March and M.P. Tosi (eds.), "Order and Chaos in Nonlinear Physical Systems", 423-446, Plenum, New York.
10. Czechowski, Z., 1991, A kinematic model of crack fusion, Geophys. J. Int., 104, 419-422.
11. Czechowski, Z., 1993, A kinematic model of nucleation, propagation and fusion of cracks, J. Phys. Earth, 41, 127-137.
12. Czechowski, Z., T. Yamashita and R. Teisseyre, 1994, Theory of the earthquake premonitory and fracture processes: evolution of stresses, Acta Geophys. Pol., 42, 2, 119-135.
13. Czechowski, Z., T. Yamashita and R. Teisseyre, 1995, Stress evolution: creep and dynamic patterns, Acta Geophys. Pol., 43, 187-196.
14. DeWitt, R., 1971, Relation between dislocations and disclinations, J. Appl. Phys., 42, 3304-3308.
15. Gillis, P.P., and J.J. Gilman, 1965, Dynamical dislocation theory of crystal plasticity, J. Appl. Phys., 36, 3370-3380.
16. Harris, W.F., and L.E. Scriven, 1971, Intrinsic disclinations as dislocation sources and sinks in surface crystals, J. Appl. Phys., 42, 3309-3312.
17. Johnston, W.G., and J.J. Gilman, 1959, Dislocation velocities, dislocation densities, and plastic flow in lithium fluoride crystals, J. Appl. Phys., 30, 129-144.
18. Kelly, J.M., and P.P. Gillis, 1974a, Thermodynamics and dislocation mechanics, J. Franklin Inst., 297, 853-862.
19. Kelly, J.M., and P.P. Gillis, 1974b, Continuum descriptions of dislocations under stress reversals, J. Appl. Phys., 45, 1091-1096.
20. Kondo, K., 1955, Geometry of elastic deformation and incompatibility, RAAG \Memoires, 1, Div. C, 361-373.
21. Kossecka, E., and R. DeWitt, 1977a, Disclination kinematic, Arch. Mech., 29, 633-651.
22. Kossecka, E., and R. DeWitt, 1977b, Disclination dynamics, Arch. Mech., 29, 749-767.
23. Kröner, E., 1958, Kontinuums theories der Versetzungen und Eigenspannungen, Ergeb. Angew. Math., 5, Berlin.
24. Lardener, R.W., 1969a, Plane strain plasticity of single crystals, Int. J. Eng. Sci., 7, 417-425.
25. Lardener, R.W., 1969b, Dislocation dynamics and the theory of the plasticity of single crystals, ZAMP., 20, 514-529.
26. Mataga, P.A., L.B. Freund and J.W. Hutchinson, 1987, Crack tip plasticity in dynamic fracture, J. Phys. Chem. Solid, 48, 985-1005.
27. Minagawa, S., 1971, Dislocation, disclination, and the source or sink of dislocation-line, RAAG Research Notes, third Series, No. 177, Res. Ass. Appl. Geomet. Tokyo, 1-10.
28. Minagawa, S., 1979, A non-Riemannian geometrical theory of imperfections in a Cosserat continuum, Arch. Mech., 31, 783-792.
29. Mura, T., 1963, On dynamic problems of continuous distribution of dislocations, Int. J. Eng. Sci., 1, 371-381.
30. Nabarro, F.R.N., 1951, The synthesis of elastic dislocation field, Philos, Mag., 42, 1224-1231.
31. Nabarro, F.R.N., 1967, Theory of Crystal Dislocations, Clarendon Press, Oxford.
32. Newman, W.I., and L. Knopoff, 1982, Crack fusion dynamics: A model for large earthquakes, Geophys. Res. Lett., 9, 735-738.
33. Newman, W.I., and L. Knopoff, 1983a, A model for repetitive cycles of large earthquakes, Geophys. Res. Lett., 10, 305-308.
34. Newman, W.I., and L. Knopoff, 1983b, Crack fusion as a model for repetitive seismicity, PAGEOPH, 121, 495-510.
35. Newman, W.I., and L. Knopoff, 1990, Scale invariance in brittle fracture and the dynamics of crack fusion, Int. J. Fracture, 43, 19-24.
36. Pilecki, S., 1969, Proliferation, diffusion and vanishing of dislocations in the course of the process of metal fatigue, Bull, de L'Acad. Polon. des Sci., 17, 489-496.
37. Pilecki, S., 1973, Introduction to the diffusional theory of metal fatigue, Third International Conference on Fracture, Munich, 1, 241-245.
38. Pilecki, S., 1977, Analysis of the usefulness of diffusion equations for the description of dislocation mobility and related phenomena, Arch. Mech., 29, 505-517.
39. Radowicz, A., 1969, Statistical theory of continuous distribution of dislocations in a linear isotropic elastic continuum, Bull. L'Acad. Polon. Sci., Ser. Sci. Tech., 17, 231-237.
40. Sackett, S.J., J.M. Kelly and P.P. Gillis, 1977, A probabilistic approach to polycrystalline plasticity, J. Franklin Inst., 304, 33-63.
41. Teisseyre, R., 1969, Dislocational representation of thermal stresses, Acta Geophys. Pol., 17, 3-12
42. Teisseyre, R., 1986, Some problems of mechanics of the continuum media and the applications to earthquake studies. In: R. Teisseyre (ed.), "Continuum Theories in Solid Earth Physics", 256-309, Elsevier-Polish Scientific Publ., Amsterdam-Warszawa.
43. Teisseyre, R., 1990, Earthquake premonitory and rebound theory: synthesis and revision of principles, Acta Geophys. Pol., 38, 3, 269-278.
44. Teisseyre, R., 1995a, Dislocations and simple models of earthquake sources. In: R. Teisseyre (ed.), "Theory of Earthquake Premonitory and Fracture Processes'", 136-168, Polish Scientific Publ., Warszawa.
45. Teisseyre, R., 1995b, Deformations and defect distribution. In: R. Teisseyre (ed.), "Theory of Earthquake Premonitory and Fracture Processes", 324-332, Polish Scientific Publ., Warszawa.
46. Teisseyre, R., 1995c, Statistical theory and evolution of the dislocation fields. In: R. Teisseyre (ed.), "Theory of Earthquake Premonitory and Fracture Processes", 394-404, Polish Scientific Publ., Warszawa.
47. Teisseyre, R., 1995d, Dislocation density and geometrical objects. In: R. Teisseyre (ed.), "Theory of Earthquake Premonitory and Fracture Processes", 512-519, Polish Scientific Publ., Warszawa.
48. Teisseyre, R., 1996, Motion and flow equation for stresses, Acta Geophys. Pol., 44, 19-29.
49. Teisseyre, R., 1997, Dislocation-stress relations and evolution of dislocation fields, Acta Geophys. Pol., 45, 3, 205-214.
50. Teisseyre, R., and Z. Czechowski, 1993, Unified earthquake premonitory and rebound theory, Acta Geophys. Pol., 41, 1-16.
51. Teisseyre, R., and H. Nagahama, 1997 accepted, Dislocational model of electric field generation in a seismic source zone. In: M. Hayakawa (ed.), "Seismic Electromagnetics", Terra Scientific Publ. (TERRAPUB), Tokyo (in press).
52. Teisseyre, R., T. Yamashita and Z. Czechowski, 1995, Earthquake premonitory and fracture rebound theory: a synopsis. In: R. Teisseyre (ed.), "Theory of Earthquake Premonitory and Fracture Processes", 405-412, Polish Scientific Publ., Warszawa.
53. Teodosiu, C., 1970, A dynamic theory of dislocations and its applications to the theory of the elastic-plastic continuum. In: J.A. Simmons, R. DeWitt and R. Bullough (eds.), "Fundamental Aspect of Dislocation Theory", 837-876, Nat. Bur. Stand. (U.S.), Sp. Publ. 317, II.
54. Walgraef, D., and E.C. Aifantis, 1985, On the formation and stability of dislocation patterns. III Three-dimensional considerations, Int. J. Engng. Sci., 23, 1365-1358.
55. Webster, G.A., 1966a, A widely applicable dislocation model of creep, Phil. Mag., 14, 775-783.
56. Webster, G.A., 1966b, In support of a model of creep based on dislocation dynamics, Phil. Mag., 14, 1303-1307.
57. Werne, R.W., and J.M. Kelly, 1978, A dislocation theory of isotropic polycrystalline plasticity, Int. J. Engng. Sci., 16, 951-965.
58. Yamashita, T., and R. Teisseyre, 1994, Continuum theory of earthquake fracturing, J. Phys. Earth, 42, 425-437.
59. Zorski, H., 1968, Statistical theory of dislocations. Int. J. Solids. Struct., 4, 959-974.