Nonlinear continuum theory of dislocations

International Journal of Engineering Science - Tập 34 Số 3 - Trang 339-358 - 1996
Khanh Chau Le1, H. Stumpf1
1Lehrstuhl für Allgemeine Mechanik, Ruhr-Universität Bochum, Postfach 102148, D-44780 Bochum, Germany.

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Tài liệu tham khảo

Kondo, 1952, On the geometrical and physical foundations of the theory of yielding, 41

Bilby, 1955, A231, 263

Kröner, 1958, Kontinuumstheorie der Versetzungen and Eigenspannungen, Vol. 5

Kröner, 1960, Arch. Rational Mech. Anal., 4, 273, 10.1007/BF00281393

Sedov, 1967, A Dynamic Theory of Continual Dislocations, 215

Eckart, 1948, Phys. Rev., 73, 373, 10.1103/PhysRev.73.373

Bilby, 1957, Continuous distributions of dislocations and the theory of plasticity, 35

Noll, 1967, Arch. Rational Mech. Anal., 27, 1, 10.1007/BF00276433

Wang, 1967, Arch. Rational Mech. Anal., 27, 33, 10.1007/BF00276434

Lee, 1969, J. Appl. Mech., 36, 1, 10.1115/1.3564580

Epstein, 1990, Acta Mech., 83, 127, 10.1007/BF01172974

Le, 1993, Acta Mech., 100, 155, 10.1007/BF01174787

Le, 1994, Finite elastoplasticity with microstructure, 92

Kröner, 1981, Continuum theory of defects

Kröner, 1993, A variational principle in nonlinear dislocation theory, 59

Toupin, 1964, Arch. Rational Mech. Anal., 17, 85, 10.1007/BF00253050

Stumpf, 1993, Int. J. Plasticity, 9, 583, 10.1016/0749-6419(93)90021-H

Kröner, 1992, GAMM-Mitt., 15, 104

Truskinovsky, 1987, J. Appl. Math. Mech. (PMM), 51, 777, 10.1016/0021-8928(87)90140-7

Abeyaratne, 1990, J. Mech. Phys. Solids, 38, 345, 10.1016/0022-5096(90)90003-M

Stumpf, 1990, Acta Mech., 83, 25, 10.1007/BF01174730

Stumpf, 1992, ZAMM, 72, 387, 10.1002/zamm.19920720902

Le, 1993, J. Elasticity, 32, 183, 10.1007/BF00131660

Maugin, 1992, Acta Mech., 94, 1, 10.1007/BF01177002

Anthony, 1970, Arch. Rational Mech. Anal., 39, 43, 10.1007/BF00281418

Maugin, 1993

Abraham, 1983

Marsden, 1983

Le, 1996, A452, 1

Green, 1965, Arch. Rational Mech. Anal., 18, 251, 10.1007/BF00251666

Sedov, 1966

Kestin, 1987, Metal plasticity as a problem in thermodynamics, 23

Ericksen, 1983, Thermoelastic considerations for continuously dislocated crystals, 95

Berdichevsky, 1983

Eshelby, 1951, Phil. Trans. R. Soc. (Lond.), A244, 87, 10.1098/rsta.1951.0016

Coleman, 1963, Arch. Rational Mech. Anal., 13, 167, 10.1007/BF01262690

Stumpf, 1990, Mech. Res. Commun., 17, 353, 10.1016/0093-6413(90)90010-A

Schieck, 1995, Int. J. Solids Structures, 32, 3643, 10.1016/0020-7683(95)00007-W

Ericksen, 1975, J. Elasticity, 5, 191, 10.1007/BF00126984

Ball, 1987, Arch. Rational Mech. Anal., 100, 13, 10.1007/BF00281246

Knowles, 1991, Continuum modeling of phase transitions in solids, 500

on Mises, 1928, ZAMM, 8, 161, 10.1002/zamm.19280080302

Hill, 1948, Q. J. Mech. Appl. Math., 1, 18, 10.1093/qjmam/1.1.18

Drucker, 1951, A more fundamental approach to plastic stress-strain relations, 487

Ziegler, 1958, ZAMP, 9, 748, 10.1007/BF02424793

Moreau, 1970, C. R. Acad. Sci. Paris Sér. 1 Mat., 271, 608

Maugin, 1992