A geometric framework for the kinematics of crystals with defects

Philosophical Magazine - Tập 85 Số 33-35 - Trang 3983-4010 - 2005
John D. Clayton1, D. J. Bammann2, D. L. McDowell3
1Impact Physics Branch, US Army Research Laboratory, Aberdeen Proving Ground, MD 21005-5069, USA
2Department of Science-based Materials Modeling, Sandia National Laboratories, Livermore, CA 94550, USA
3GWW School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405, USA

Tóm tắt

Từ khóa


Tài liệu tham khảo

Maugin GA, 1993, Material Inhomogeneities in Elasticity, 10.1007/978-1-4899-4481-8

10.1115/1.3005101

10.1023/B:ELAS.0000005634.81007.11

10.1098/rspa.1996.0019

10.1016/0020-7225(95)00092-5

10.1016/S0020-7225(96)00062-6

10.1016/S0020-7225(98)00059-7

10.1016/S0022-5096(99)00075-7

10.1007/BF01176945

10.1098/rsta.1951.0016

Eshelby, JD. 1956.Solid State Physics, Edited by: Séitz, F and Turnbull, D. Vol. 3, 79–144. New York: Academic Press.

10.1098/rspa.1985.0032

10.4028/www.scientific.net/MSF.123-125.447

10.1007/BF00386071

Bilby, BA, Gardner, LRT and Stroh, AN. Proceedings 9th International Congress on Applied Mechanics. Vol. 8, pp.35–44. Université de Bruxelles.

10.1007/BF00281393

10.1103/PhysRev.73.373

Kondo, K. Proceedings 2nd Japan Congress Applied Mechanics. pp.41–47. Tokyo: Japan National Committee for Theoretical and Applied Mechanics, Science Council of Japan.

10.1098/rspa.1955.0171

Einstein A, 1928, Sitz. Preuβ. Akad., 217

10.1007/BF00276433

10.1016/S0749-6419(98)00037-0

10.1016/S0022-5096(00)00084-3

10.1016/S0393-0440(00)00066-8

10.1016/0020-7225(89)90132-8

10.1016/0020-7225(95)00081-X

10.1080/14786437008238426

10.1007/BF01595044

10.1016/0020-7225(78)90054-X

10.1016/0001-6160(53)90054-6

10.1007/BF02353850

Kröner E, 1963, J. Math. Phys., 42, 27, 10.1002/sapm196342127

10.1007/BF01502989

10.1088/0370-1301/69/12/311

10.1107/S0567739475000629

10.1063/1.325561

10.1016/0956-7151(94)90467-7

10.1016/0167-6636(95)00020-8

Kondo K, 1949, Soc. Appl. Mech., 2, 146, 10.2322/jjsass1948.2.146

10.1016/0020-7225(64)90022-9

Volterra V, 1907, Ann. Ecole Norm. Sup. Paris, 24, 401, 10.24033/asens.583

Nabarro FRN, 1967, Theory of Crystal Dislocations

10.1007/BF00281418

Lardner RW, 1973, Arch. Mech., 25, 911

Minagawa S, 1979, Arch. Mech., 31, 783

10.1016/0020-7225(81)90160-9

10.1016/0020-7225(81)90081-1

10.1016/0020-7225(81)90073-2

10.1016/0020-7225(75)90035-X

10.1016/0020-7225(81)90079-3

Pęcherski RB, 1983, Arch. Mech., 35, 257

10.1016/0013-7944(85)90085-2

Kröner, E. 1980.Dislocation Modelling of Physical Systems, Edited by: Ashby, MF, Bullough, RHartley, CS. 285–303. Oxford: Pergamon Press.

Kröner, E. 1983.The Structure and Properties of Crystal Defects, Edited by: Paidar, V and Lejček, L. 357–369. Amsterdam: Elsevier.

Schouten JA, 1954, Ricci Calculus,, 10.1007/978-3-662-12927-2

Wang CC, 1973, Introduction to Rational Elasticity

Marsden JE, 1983, Mathematical Foundations of Elasticity

Eisenhart LP, 1926, Riemannian Geometry

Boothby WM, 1986, An Introduction to Differentiable Manifolds and Riemannian Geometry,

Rund H, 1959, The Differential Geometry of Finsler Spaces, 10.1007/978-3-642-51610-8

10.1002/zamm.19970770504

Cartan E, 1922, Compt. Rend., 174, 593

10.1142/9789812819550

Teodosiu C, 1967, Rev. Roum. Sci. Technol. Méc. Appl., 12, 961

10.1016/0045-7825(85)90061-1

10.1016/S0020-7462(03)00095-7

10.1016/j.ijengsci.2003.08.001

10.1016/S1359-6462(02)00358-5

10.1016/0956-716X(94)90459-6

10.1007/s00033-004-4020-0

10.1016/S0749-6419(02)00109-2

Kratochvíl, J. 1972.Foundations of Plasticity, Edited by: Sawzcuk, A. 401–415. Warsaw: Noordhoff.

Eringen, AC and Claus Jr. 1970.Fundamental Aspects of Dislocation Theory, Edited by: Simmons, JA, de Wit, R and Bullough, R. Vol. 2, 1023–1040. Gaithersburg, MD: U.S. Government Printing Office.

Lardner RW, 1974, Mathematical Theory of Dislocations and Fracture

10.1098/rsta.1993.0140

10.1016/0020-7683(73)90120-0

10.1080/14786430310001599522

Seefeldt M, 2001, Rev. Adv. Mater. Sci., 2, 44

Somigliana C, 1914, Rend. R. Acc. Lincei, Ser. 5, 23, 463

Burgers JM, 1939, Proc. Kon. Nederl. Akad. Wetensch., 42, 293

10.1039/df9582500019

10.1016/0020-7225(76)90027-6

10.1088/0031-8949/1993/T49B/007

10.1016/0039-6028(72)90251-8

10.1016/0921-5093(91)90436-Q

10.1063/1.1658452

10.1016/S0965-9773(98)00145-7

10.1103/PhysRevB.60.7053

10.1103/PhysRevB.61.928

Mura T, 1982, Micromechanics of Defects in Solids,, 10.1007/978-94-011-9306-1

Zubov LM, 1997, Nonlinear Theory of Dislocations and Disinclinations in Elastic Bodies

10.1016/0001-6160(60)90111-5

10.1016/0020-7225(92)90120-6

10.1016/j.jmps.2004.04.002

10.1016/0029-5493(89)90095-2

10.1007/BF00672933

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

10.1016/S0022-5096(03)00036-X

Bilby BA, 1956, Proc. R. Soc. Lond. A, 232, 481, 10.1098/rspa.1956.0150

Acharya, A and Bassani, JL. 1995.Plastic and Fracture Instabilities in Materials, Edited by: Ghoniem, N. 75–80. New York: ASME. AMD vol. 200/MD vol. 57

Truesdell C, 1965, The Non-Linear Field Theories of Mechanics,, 10.1007/978-3-642-46015-9_1

10.1016/0020-7683(92)90176-T

Ericksen, JL. 1984.Phase Transformations and Material Instabilities in Solids, 61–77. New York: Academic Press.