Физические теории пластичности
..pdf41.Трусов П.В., Ашихмин В.Н., Швейкин А.И. Двухуровневая модель упругопластического деформирования поликристаллических материалов // Механика композиционных материалов и конструк-
ций. – 2009. – Т. 15, № 3. – С. 327–344.
42.Трусов П.В., Ашихмин В.Н., Швейкин А.И. Анализ деформирования ГЦК-металлов с использованием физической теории упругопластичности // Физическая мезомеханика. – 2010. – Т. 13. –
№ 3. – С. 21–30.
43.Трусов П.В., Волегов П.С. Определяющие соотношения с внут-
ренними переменными и их применение для описания упрочнения в монокристаллах // Физическая мезомеханика. – 2009. –
Т. 12, № 5. – С. 65–72.
44.Трусов П.В., Волегов П.С. Физические теории пластичности: приложение к описанию упрочнения в поликристаллах // Вестник Тамбовского университета. Сер. Естественные и технические науки. – Тамбов, 2010. – Т. 15, вып. 3, ч. 1. – С. 983–984.
45.Трусов П.В., Волегов П.С. Физические теории пластичности: теория и приложения к описанию неупругого деформирования материалов. Ч. 1: Жесткопластические и упругопластические модели // Вестник ПГТУ. Механика. – Пермь: Изд-во Перм. гос.
техн. ун-та, 2011. – № 1. – С. 5–45.
46.Трусов П.В., Волегов П.С. Физические теории пластичности: теория и приложения к описанию неупругого деформирования материалов. Ч. 2: Вязкопластические и упруговязкопластические модели // Вестник ПГТУ. Механика. – Пермь: Изд-во Перм. гос.
техн. ун-та, 2011. – № 2. – С. 101–131.
47.Трусов П.В., Волегов П.С. Физические теории пластичности: теория и приложения к описанию неупругого деформирования материалов. Ч. 3. Теории упрочнения, градиентные модели // Вестник ПГТУ. Механика. – Пермь: Изд-во Перм. гос. техн. ун-та, 2011. – № 3. – С. 146–197.
48.Трусов П.В., Волегов П.С., Швейкин А.И. Конститутивная упруговязкопластическая модель ГЦК-поликристаллов: теория, алго-
ритмы, приложения. – LAP LAMBERT Academic Publishing, 2011. – 147 c.
49.Трусов П.В., Волегов П.С., Янц А.Ю. Описание внутризеренного и зернограничного упрочнения моно- и поликристаллов // Науч- но-технические ведомости СПбГПУ. Физико-математические науки. – СПб., 2010. – № 2 (98). – С. 110–119.
231
50.Трусов П.В., Келлер И.Э. Теория определяющих соотношений. Ч. 1: Общая теория. – Пермь: Изд-во Перм. гос. техн. ун-та, 2006. – 173 с.
51.Трусов П.В., Швейкин А.И. Теория пластичности. – Пермь: Изд-во Перм. нац. исслед. политехн. ун-та, 2011. – 419 с.
52.Трусов П.В., Швейкин А.И. Многоуровневые физические модели моно- и поликристаллов. Статистические модели // Физическая мезомеханика. – 2011. – Т. 14, № 4. – С. 17–28.
53.Трусов П.В., Швейкин А.И. Многоуровневые физические модели моно- и поликристаллов. Прямые модели // Физическая мезо-
механика. – 2011. – Т. 14, № 5. – С. 5–30.
54.Физическая мезомеханика и компьютерное конструирование материалов: в 2 т. / В.Е. Панин, В.Е. Егорушкин, П.В. Макаров [и др.]. – Новосибирск: Наука; Сибир. изд. фирма РАН, 1995. –
Т. 1. – 298 с.; Т. 2. – 320 с.
55.ХиртДж., ЛотеИ. Теориядислокаций. – М.: Атомиздат, 1972. – 600 с.
56.Хоникомб Р. Пластическая деформация металлов. – М.: Мир, 1972. – 408 с.
57.Швейкин А.И., Ашихмин В.Н., Трусов П.В. О моделях ротации решетки при деформировании металлов // Вестник ПГТУ. Меха-
ника. – Пермь: Изд-во ПГТУ, 2010. – № 1. – С. 111–127.
58.Шермергор Т.Д. Теория упругости микронеоднородных сред. –
М.: Наука, 1977. – 400 с.
59.Янц А.Ю., Волегов П.С. Несимметричная физическая теория пластичности ГЦК-поликристаллов: проблемы определения скоростей сдвигов в системах скольжения при использовании вязких соотношений // Вестник ПНИПУ. Прикладная математика
и механика. – Пермь: Изд-во Перм. нац. исслед. политехн. ун-та, 2011. – № 9. – С. 200–211.
60.Ahzi S., M’Guil S. A new intermediate model for polycrystalline
viscoplastic deformation and texture evolution // Acta Materialia. – 2008. – Vol. 56. – Р. 5359–5369.
61.Alankar A., Mastorakos I. N., Field D.P. A dislocation-density-based
3D crystal plasticity model for pure aluminum // Acta Materialia. – 2009. – Vol. 57. – Р. 5936–5946.
62.Anand L., Kothari M. A computational procedure for rate-independent
crystal plasticity // J. of the Mechanics and Physics of Solids. – 1996. – Vol. 44. – № 4. – P. 525–558.
63.Asaro R.J. Micromechanics of crystals and polycrystals // Advances in Applied Mechanics. – 1983. – Vol. 23. – Р. 1–115.
232
64.Asaro R.J., Needleman A. Texture development and strain hardening in rate dependent polycrystals // Acta Metall. – 1985. – Vol. 33. № 6. –
P.923–953.
65.Asaro R.J., Rice J.R. Strain localization in ductile single crystals //
J.Mech. Phys. Solids. – 1977. – Vol. 8. – P. 309–338.
66.Ashby M.F. The deformation of plastically non-homogeneous materials // Phil. Mag. 1970. – Vol. 21. – P. 399–424.
67.Baczmaňski A., Hfaiedh N., François M., Wierzbanowski K. Plastic
incompatibility stresses and stored elastic energy in plastically deformed copper // Mater. Sci. Eng. – 2009. – A 501. – Р. 153–165.
68.Balasubramanian S., Anand L. Elasto-viscoplastic constitutive equations
for polycrystalline fcc materials at low homologous temperatures //
J.Mech. and Phys. Solids. – 2002. – Vol. 50. – P. 101–126.
69.Barlat F., Duarte J.M. Ferreira, Gracio J.J., A.B. Lopes, E.F.Rauch
Plastic flow for non-monotonic loading conditions of an aluminum alloy sheet sample // Int. J. Plasticity. – 2003. – Vol. 19. – Р. 1215–1244.
70.Batra R.C., Zhu Z.G. Effect of loading direction and initial imperfections
on the development of dynamic shear bands in a FCC single crystal // Acta Mechanica. – 1995. – Vol. 113. – № 1–4. – P. 185–203.
71.Beyerlein I.J., Lebensohn R.A., Tome C.N. Modeling texture and
microstructural evolution in the equal channel angular extrusion process // Mater. Sci. and Eng. – 2003. – Vol.A345. – Р. 122–138.
72.Bilby B.A., Gardner L.R.T., Stroh A.N. Continuous distributions of
dislocations and the theory of plasticity // Proc. 9th Int. Congr. Appl. Mech. Bruxelles, 1956. – Universiteґ de Bruxelles. – 1957. – Vol. 8. – Р. 35–44.
73.Bishop J.F.W., Hill R. A theory of the plastic distortion of a polycris-
talline aggregate under combined stresses // Phil. Mag. Ser. 7. – 1951. – Vol. 42. – № 327. – P. 414–427.
74.Bishop J.F.W., Hill R. A theoretical derivation of the plastic proporties
of a polycristalline face – centered metal // Phil. Mag. Ser. 7. – 1951. – Vol. 42. – № 334. – P. 1298–1307.
75.Bőhlke T., Risy G., Bertram A. A texture component model for aniso-
tropic polycrystal plasticity // Comput. Mater. Sci. – 2005. – Vol. 32. – Р. 284–293.
76.Brown S., Kim K. and Anand L. An internal variable constitutive model for hot working of metals // Int. J. Plasticity. – 1989. – Vol. 5. –
P.95–130.
233
77.Bunge H.J. Texture analysis in material science. – London: Butterworths, 1982.
78.Busso E. P. Multiscale approaches: from the nanomechanics to the micromechanics // Computational and Experimental Mechanics of Advanced Materials. – 2006. – P. 141–165.
79.Busso E.P., Cailletaud G. On the selection of active slip systems in crystal plasticity // Int. J. of Plasticity. – 2005. – Vol. 21. – P. 2212–2231.
80.Cailletaud G., Diard O., Feyel F., Forest S. Computational crystal plasticity: from single crystal to homogenized polycrystal // Technische Mechanik. – 2003. – Band 23. Heft 2–4. – P. 130–145.
81.Cermelli P., Gurtin M.E. On the characterization of geometrically
necessary dislocations in finite plasticity // J. Mech. Phys. Solids. – 2001. – Vol. 49. – Р. 1539–1568.
82.Clayton J.D., McDowell D.L. A multiscale multiplicative decomposition for elastoplasticity of polycrystals // Int. J. Plasticity. –
2003. – Vol. 19. – Р. 1401–1444.
83. Cosserat E., Cosserat F. Theorie des corps deformables. – Paris:
A.Hermann et fils, 1909. – 226 p.
84.Cuitino A.M., Ortiz M. Computational modeling of single crystals // Modelling and Simulation in Material Science and Engineering. – 1992. – Vol. 1. – P. 225–263.
85.Demir E. A Taylor-based plasticity model for orthogonal machining of
single-crystal FCC materials including frictional effects // Int. J. Adv. Manuf. Technol. – 2009. – Vol. 40. – Р. 847–856.
86.Deshpande V.S., Needleman A., Van der Giessen E. Finite strain
discrete dislocation plasticity // J. Mech. and Physics Solids. – 2003. – Vol. 51. – Р. 2057–2083.
87.Evaluation of finite element based analysis of 3D multicrystalline aggregates plasticity. Application to crystal plasticity model identification and the study of stress and strain fields near grain boundaries / O. Diard,
S.Leclercq, G. Rousselier, G. Cailletaud // Int. J. of Plasticity. – 2005. – Vol. 21. – P. 691–722.
88.Eshelby J.D. The determination of the elastic field of an ellipsoidal
inclusion, and related problems // Proc Royal Soc. London. Ser. A. – 1957. – № 241 (1226). – Р. 376–396.
89.Eshelby J.D. The elastic fields outside an ellipsoidal inclusion // Proc Royal Soc. London. – 1959. – № 252 (1271). – Р. 561–569.
90.Crystal plasticity model with enhanced hardening by geometrically necessary dislocation accumulation / L.P. Evers, D.M. Parks,
234
W.A.M. Brekelmans, M.G.D. Geers // J. Mech. and Phys. Solids. – 2002. – Vol. 50. – P. 2403–2424.
91.Micromechanical modelling of the elastoplastic behavior of metallic
material under strain-path changes / J. Fajoui, D. Gloaguen, B. Courant, R. Guillén // Comput. Mech. – 2009. – Vol. 44. – Р. 285–296.
92.Fleck N.A., Hutchinson J.W. Strain gradient plasticity // Adv. Appl. Mech. – 1997. – Vol. 33. – Р. 295–362.
93.Follansbee P.S., Kocks U.F. A constitutive description of copper based on the use of the mechanical threshold stress as an Internal State Variable // Acta Metall. – 1988. – Vol. 36. – Pp. 81–93.
94.Forest S, Sievert R. Elastoviscoplastic constitutive frameworks for generalized continua // Acta Mechanica. – 2003. – Vol. 160. – P. 71–111.
95.Franciosi P. The concepts of latent hardening and strain hardening in metallic single crystals // Acta Metall. – 1985. – Vol. 33. – P. 1601–1612.
96.Franciosi P., Berveiller M., Zaoui A. Latent hardening in copper and
aluminium single crystals // Acta Metall. – 1980. – Vol. 28. – Is. 3 – Р. 273–283.
97.Franz G., Abed-Meraim F., Ben Zineb T. Strain localization analysis
using a multiscale model // Computational Materials Science. – 2009. – Vol. 45. – P. 768–773.
98.Gambin W. A model of rigid – ideally plastic crystal // J. Tech. Phys. – 1987. – Vol. 28. – № 3. – P. 309–326.
99.Hardening description for FCC materials under complex loading paths /
C. Gérard, B. Bacroix, M. Bornert, G. Cailletaud, J. Crépin, S. Leclercq // Comput. Mater. Sci. – 2009. – Vol. 45. – Р. 751–755.
100.Gerken J. M., Dawson P.R. A crystal plasticity model that incorporates
stresses and strains due to slip gradients // J. of the Mechanics and Physics of Solids. – 2008. – Vol. 56. – Р. 1651–1672.
101.Habraken A.M. Modelling the plastic anisotropy of metals // Arch. Comput. Meth. Engng. – 2004. – 11. – № 1. – Р. 3–96.
102.Hill R. On constitutive macro-variables for heterogeneous solids at finite strain // Proc. Royal Soc. Lond. – 1972. – 326 (A). – P. 131–147.
103.Hill R., Havner K.S. Perspectives in the mechanics of elastoplastic crystals // Journal of the Mechanics and Physics of Solids. – 1982. – Vol. 30. – P. 5–22.
104.Huang X. Grain orientation effect on microstructure in tensile strained cooper // Scripta Materialia. – 1998. – Vol. 38. – № 11. – P. 1697–1703.
235
105.Hutchinson J.W. Bounds and self-consistent estimates for creep of
polycrystalline materials // Proc.R. Soc. Lond. – 1976. – 348 (A). – Р. 101–127.
106.Hutchinson, J.W. Elastic-plastic behavior of polycrystalline metals and composites // Proc. Roy. Soc. London. – 1970. – 319 (A). – P. 247–272.
107.Kalidindi S.R. Incorporation of deformation twinning in crystal
plasticity models //J. Mech. Phys. Solids. – 1998. – Vol. 46, № 2. –
P. 267–290.
108.Kalidindi S.R. Modeling anisotropic strain hardening and deformation textures in low stacking fault energy fcc metals // Int. J. Plasticity. – 2001. – Vol. 17. – P. 837–860.
109.Kalidindi S.R., Anand L. Macroscopic shape change and evolution of
crystallographic texture in pre-textured FCC metals // J. Mech. Phys. Solids. – 1994. – Vol. 42. – № 3. – P. 459–490.
110.Kalidindi S.R., Bronkhorst C.A., Anand L. Crystallographic texture
evolution in bulk deformation processing of FCC metals // J. Mech. Phys. Solids. – 1992. – Vol. 40. – № 3. – P. 537–569.
111.Kim H.-K., Oh S.-I. Finite element analysis of grain-by-grain
deformation by crystal plasticity with couple stress // Int. J. Plasticity. – 2003. – Vol. 19. – Р. 1245–1270.
112.Kocks U. F., Argon A. S. and Ashby M. F. Thermodynamics and kinetics of slip // Prog. Mater. Sci. – 1975. – Vol. 19. – P. 141–145.
113.Kok S., Beaudoin A.J., Tortorelli D.A. A polycrystal plasticity model based on the mechanical threshold // Int. J. of Plasticity. – 2002. – Vol. 18. – P. 715–741.
114.Kothari M., Anand L. Elasto-viscoplastic constitutive equations for polycrystalline metals: Application to tantalum // Journal of the Mechanics and Physics of Solids. – 1998. – Vol. 46. – P. 51–67, 69–83.
115.Kouchmeshky B., Zabaras N. Modeling the response of HCP
polycrystals deforming by slip and twinning using a finite element representation of the orientation space // Comput. мater. sci. – 2009. – Vol. 45. – Р. 1043–1051.
116.Kratochvil J., Tokuda M. Plastic response of polycrystalline metals subjected to complex deformation history // Trans. ASME. J. Engng. Mater. Technol. – 1984. – Vol. 106. – P. 299–303.
117.Kroner E. Allgemeine kontinuumstheorie der versetzungen und
eigenspannungen // Arch. Rational Mech. Anal. – 1960. – B. 4. – S. 273–334.
236
118. Jr. Deformation bands, the LEDS theory, and their importance in texture development: Part I: Previous evidence and new observations / D. Kuhlman-Wilsdorf, S.S. Kulkarni, J.T. Moore, E.A. Starke // Metallurgical and Mater. Trans. A. – 1999. – Vol. 30A. – P. 2491–2501.
119.Kuhlmann-Wilsdorf D. Deformation bands, the LEDS theory, and their importance in texture development: Part II: Theoretical conclusions // Metallurgical and Mater. Trans. A. – 1999. – Vol. 30A. – P. 2391–2401.
120.Le K. C., Stumpf H. A model of elastoplastic bodies with continuously
distributed dislocations // Int. J. Plasticity. – 1996. – Vol. 12. – Is. 5 – Р. 611–627.
121.Lee E.H. Elastic plastic deformation at finite strain // ASME J. Appl. Mech. – 1969. – Vol. 36. – P. 1–6.
122.Lee E.H., Liu D.T. Elastic-plastic theory with application to planewave analysis // J. Appl. Phys. – 1967. – Vol. 38. – Р. 19–27.
123.Leffers T., Ray R.K. The brass-type texture and its deviation from the copper-type texture // Prog. Mater. Sci. – 2008. – Vol. 17. – P. 98–143.
124.Lin T.H. Analysis of elastic and plastic strains of a face – centered cubic crystal // J. Mech. Phys. Solids. – 1957. – Vol. 5, № 1. – P. 143–149.
125.Lubarda V. A. Constitutive theories based on the multiplicative
decomposition of deformation gradient: Thermoelasticity, elastoplasticity, and biomechanics // Appl Mech Rev. – 2004. –Vol. 57, № 2. – Р. 95–108.
126.Luscher D.J., McDowell D.L., Bronkhorst C.A. A second gradient
theoretical framework for hierarchical multiscale modeling of materials // Int. J.Plasticity. – 2010. – Vol. 26. – Р. 1248–1275.
127.Ma A., Roters F.A. А constitutive model for fcc single crystals based on dislocation densities and its application to uniaxial compression of
aluminium single crystals //Acta Materialia. – 2004. – Vol. 52. – Р. 3603–3612.
128.Ma A., Roters F., Raabe D. A dislocation density based constitutive
model for crystal plasticity FEM including geometrically necessary dislocations // Acta Materialia. – 2006. – Vol. 54. – Р. 2169–2179.
129.Ma A., Roters F., Raabe D. On the consideration of interactions between dislocations and grain boundaries in crystal plasticity finite
element modeling –Theory, experiments, and simulations // Acta Materialia. – 2006. – Vol. 54. – Р. 2181–2194.
130.Ma A., Roters F., Raabe D. A dislocation density based constitutive
law for BCC materials in crystal plasticity FEM // Computational Materials Science. – 2007. – Vol. 39. – Р. 91–95.
237
131.Mahesh S. A hierarchical model for rate-dependent polycrystals // Int.
J.Plasticity. – 2009. – Vol. 25. – Р. 752–767.
132.Mareau C., Favier V., Berveiller M. Micromechanical modeling coupling
time-independent and time-dependent behaviors for heterogeneous materials // Int. J. Solids and Structures. – 2009. – Vol. 46. – Р. 223–237.
133.Masima M. und Sachs G.O. Mechanische Eigenschaften von Messingkristallen // Z. Physik. – 1928. – B. 50. – S. 161–186.
134.Mayeur J.R., McDowell D.L. A three-dimensional crystal plasticity
model for duplex Ti–6Al–4V // Int. J. Plasticity. – 2007. – Vol. 23. – Р. 1457–1485.
135.McDowell D. L. Viscoplasticity of heterogeneous metallic materials // Mater. Sci. Eng. R. – 2008. – Vol. 62. – Р. 67–123.
136.McGinty R.D., McDowell D.L. A semi-implicit integration scheme for rate independent finite crystal plasticity // Int. J. Plasticity. – 2006. – Vol. 22. – P. 996–1025.
137.Menzel A., Steinmann P. On the continuum formulation of higher
gradient plasticity for single and polycrystals // J. Mech. and Physics Solids. – 2000. – Vol. 48. – Is. 8 – Р. 1777–1796.
138.Méric L., Cailletaud G., Gaspérini M. F.E. calculations of copper
bicrystal specimens submitted to tension-compression tests // Acta Metall. – 1994. – Vol. 42. – Is. 3 – Р. 921–935.
139.M’Guil S., Ahzi S., Khaleel M.A. An intermediate viscoplastic model for deformation texture evolution in polycrystals // Proceed. ICOTOM 14. Leuven. Belgium. – 2005. – P. 989–994.
140.Miehe C. Multisurface thermoplasticity for single crystals at large
strains in terms of Eulerian vector updates // Int. J. Solids and Struct. – 1996. – Vol. 33. – № 20–22. – P. 3103–3130.
141.Miehe C., Rosato D. Fast texture updates in fcc polycrystal plasticity based on a linear active-set-estimate of the lattice spin // J. Mech. Phys. – 2007. – Vol. 55. – P. 2687–2716.
142.Myagchilov S., Dawson P.R. Evolution of texture in aggregates of
crystals exhibiting both slip and twinning // Modeling and Simulation in Materials Science and Engineering. – 1999. – Vol. 7, № 6. – P. 975–1004.
143.Naghdi P.M., Srinivasa A.R. A dynamical theory of structured solids.
IBasic developments // Phil. Trans. R. Soc. Lond. – 15 December 1993. – Vol. 345, № 1677. – Р. 425–458.
144.Neale K.W. Use of crystal plasticity in metal forming simulations // Int. J. Mech. Sci. – 1993. – Vol. 35 (12). – Р. 1053–1063.
238
145.Finite element analysis of crystalline solids / A. Needleman, R.J. Asaro, J. Lemonds, D. Peirce // Comp. Meth. Appl. Mech. Engng. – 1985. – Vol. 52. – P. 689–708.
146.Nye J.F. Some geometrical relations in dislocated crystals // Acta Metall. – 1953. – Vol. 1. – Р. 153–162.
147.Orowan E. Problems of plastic gliding // Proc. Phys. Soc. – 1940. – Vol. 62. – P. 8–22.
148.Ortiz M., Repetto E.A. Nonconvex energy minimization and dislo-
cation structures in ductile single crystals // Journal of the Mechanics and Physics of Solids. – 1999. – Vol. 49. – Р. 397–462.
149.Pan, J., Rice, J.R. Rate sensitivity of plastic flow and implications for
yield-surface vertices // Int. J. Solids Struc. – 1983. – Vol. 19. –
P. 973–987.
150.Peirce D., Asaro R.J., Needleman A. An analysis of nonuniform and localized deformation in ductile single crystals // Acta Metallurgica. – 1982. – Vol. 30. – P. 1087–1119.
151.Polizzotto C. A nonlocal strain gradient plasticity theory for finite deformations // Int. J. Plasticity. – 2009. – URL: doi: 10.1016/j.ijplas.2008.09.009
152.Potirniche G.P., Horstemeyer M.F., Ling X.W. An internal state
variable damage model in crystal plasticity // Mechanics of Materials. – 2007. – Vol. 39. – Р. 941–952.
153.Raabe D., Roters F. Using texture components in crystal plasticity
finite element simulations // Int. J. Plasticity. – 2004. – Vol. 20. – Р. 339–361.
154.Radi M., Abdul-Latif A. Grain shape effect on the biaxial elastic-
inelastic behavior of polycrystals with a self-consistent approach // Proc. Eng. – 2009. – Vol. 1. – Р. 13–16.
155.Ramtani S., Bui H.Q., Dirras G. A revisited generalized self-consistent polycrystal model following an incremental small strain formulation
and including grain-size distribution effect // Int. J. Engng Sci. – 2009. – Vol. 47. – Р. 537–553.
156.Rollett A.D., Lee S,. Lebensohn R.A. 3D image-based viscoplastic response with crystal plasticity // Microstructure and Texture in Steels
(eds. A. Haldar, S. Suwas and D. Bhattacharjee). – Springer, 2009. – Р. 255–264.
157.Rousselier G., Leclercq S. A simplified «polycrystalline» model for
viscoplastic and damage finite element analyses // Int. J. Plasticity. – 2006. – Vol. 22. – Р. 685–712.
239
158.Sachs G. Zur Ableitung einer Fliessbedingung // Z. Verein Deut. Ing. – 1928. – В. 72. – S. 734–736.
159.Sauzay M. Analytical modelling of intragranular backstresses due to
deformation induced dislocation microstructures // Int. J. Plasticity. – 2008. – Vol. 24. – Р. 727–745.
160.Shizawa K., Zbib H.M. A thermodynamical theory of gradient
elastoplasticity with dislocation density tensor. I: Fundamentals // Int. J. Plasticity. – 1999. – Vol. 15. – Is. 9 – Р. 899–938.
161.Shu J. Y., Fleck N. A. Strain gradient crystal plasticity: size-dependent
deformation of bicrystals // J. Mech. and Phys. Solids. – 1999. – 47. – Р. 297–324.
162.Steck E. A., Harder J. Finite element simulation of local plastic flow in polycrystals // IVTAM Symposium on Microand Macrostructural
Aspects of Thermoplasticity / O.T. Bruhns and E. Stein (eds.). – 1999. – Р. 79–88.
163.Svendsen B. Continuum thermodynamic models for crystal plasticity
including the effects of |
geometrically-necessary dislocations // |
J. Mech. Phys. Solids. – 2002. – Vol. 50. – Р. 1297–1329. |
|
164. Taylor G.I. Plastic strain |
in metals // J. Inst. Metals. – 1938. – |
Vol. 62. – P. 307–324. |
|
165.Taylor G.I., Elam C.F. The distortion of an aluminium crystal during a tensile test // Proc. Roy. Soc. (London). – 1923. – Ser. A 102. –
P. 643–647.
166.Taylor G.I., Elam C.F. The plastic extension and fracture of aluminium crystals // Proc. Roy. Soc. (London). – 1925. – Ser. A 108. – P. 28–51.
167.Tinga T., Brekelmans W.A.M., Geers M.G.D. A strain-gradient crystal plasticity framework for single crystal nickel-based superalloys //
Report National Aerospace Laboratory NLR-TP-2005-628. – Amsterdam, 2005. – 35 р.
168.Tokuda M., Kratochvil J. Prediction of subsequent yield surface by
a simple mechanical model of polycrystal // Arch. Mech. – 1984. – Vol. 36. – № 5–6. – P. 661–672.
169.Tokuda M., Kratochvil J., Ohashi Y. On mechanism of induced plastic
anisotropy of polycrystalline metals // Bull. JSME. – 1982. – Vol. 25. – № 208. – P. 1491–1497.
170.Tokuda M., Kratochvil J., Ohno N. Inelastic behaviour of polycrystalline metals under complex loading condition // Int. J. of Plasticity. – 1985. – Vol. 1. – P. 141–150.
240