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Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity. (English) Zbl 0235.73002


MSC:

74A20 Theory of constitutive functions in solid mechanics
74A15 Thermodynamics in solid mechanics
Full Text: DOI

References:

[1] Biot, M. A., J. appl. Phys., 25, 1385 (1954) · Zbl 0057.19103
[2] Bishop, J. F.W.; Hill, R., Phil. Mag., 42, 414 (1951) · Zbl 0042.22705
[3] Brown, G. M., J. Mech. Phys. Solids, 18, 367 (1970)
[4] Coleman, B. D.; Gurtin, M. E., J. Chem. Phys., 47, 597 (1967)
[5] de Groot, S. R.; Mazur, P., Non-Equilibrium Thermodynamics (1962), North-Holland: North-Holland Amsterdam · Zbl 1375.82003
[6] Drucker, D. C., (Sternberg, E., Proc. First U.S. Nat. Congr. Appl. Mech. (1951), A.S.M.E: A.S.M.E New York), 487
[7] Hill, R., J. Mech. Phys. Solids, 14, 95 (1966)
[8] Hill, R., J. Mech. Phys. Solids, 15, 79 (1967)
[9] Hill, R., J. Mech. Phys. Solids, 16, 315 (1968) · Zbl 0167.54302
[10] Hutchinson, J. W., J. Mech. Phys. Solids, 12, 11 (1964)
[11] Hutchinson, J. W., (Proc. R. Soc. Lond. A, 319 (1970)), 247
[12] Il’yushin, A. A., Prik. Mat. Mekh., 25, 503 (1961) · Zbl 0106.38102
[13] Kestin, J.; Rice, J. R., (Stuart, E. B.; etal., A Critical Review of Thermodynamics (1970), Mono Book Corp: Mono Book Corp Baltimore), 275
[14] Kröner, E., J. Math. Phys., 42, 27 (1963) · Zbl 0129.23202
[15] Lee, E. H., J. appl. Mech., 36, 1 (1969) · Zbl 0179.55603
[16] Mandel, J., (Görtler, H., Proc. Eleventh Int. Congr. Appl. Mech. (1964), Springer: Springer Berlin), 502
[17] Meixner, J., Z. Naturf., 9a, 654 (1954) · Zbl 0059.20506
[18] Pipkin, A. C.; Rivlin, R. S., J. appl. Math. Phys. (ZAMP), 16, 313 (1965)
[19] Rice, J. R., J. appl. Mech., 37, 728 (1970)
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