Quasistatic processes for elastic-viscoplastic materials with internal state variables
Sofonea, Mircea
Annales scientifiques de l'Université de Clermont. Mathématiques, Tome 94 (1989), p. 47-60 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{ASCFM_1989__94_25_47_0,
     author = {Sofonea, Mircea},
     title = {Quasistatic processes for elastic-viscoplastic materials with internal state variables},
     journal = {Annales scientifiques de l'Universit\'e de Clermont. Math\'ematiques},
     volume = {94},
     year = {1989},
     pages = {47-60},
     mrnumber = {1081385},
     zbl = {0718.73040},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ASCFM_1989__94_25_47_0}
}

Sofonea, Mircea. Quasistatic processes for elastic-viscoplastic materials with internal state variables. Annales scientifiques de l'Université de Clermont. Mathématiques, Tome 94 (1989) pp. 47-60. http://gdmltest.u-ga.fr/item/ASCFM_1989__94_25_47_0/

[1] N. Cristescu and I. Suliciu, Viscoplasticity, Martinus Nijhoff, The Netherlands, Ed. Tehnica, Bucharest, 1982. | MR 691135 | Zbl 0514.73022

[2] G. Duvaut and J.L. Lions, Les inéquations en mécanique et en physique, Dunod, Paris, 1972. | MR 464857 | Zbl 0298.73001

[3] P. Suquet, Sur les équations de la plasticité ; existence et régularité des solutions, J. Méc. Téor. Appl. 20, 3-39 (1981). | MR 618942 | Zbl 0474.73030

[4] P. Suquet, Evolution problems for a class of dissipative materials, Quart. Appl. Math. 38, 391-414 (1981). | MR 614549 | Zbl 0501.73030

[5] P. Suquet, Plasticité et homogénisation, Thèses, Univ. de Paris VI, 1982.

[6] M. Djaoua and P. Suquet, Evolution quasi-statique des milieux visco-plastique de Maxvell-Norton, Math. Methods Appl. sci. 6,192-205 (1984). | MR 751740 | Zbl 0563.73024

[7] I.R. Ionescu and M. Sofonea, Quasistatic processes for elastic-viscoplastic materials, Quart. Appl. Math. 2, 229-243 (1988). | MR 950599 | Zbl 0658.73024

[8] I.R. Ionescu, Dynamic processes for a class of elastic-viscoplastic materials, Preprint Series in Math., INCREST, Bucharest, 64 (1988). | MR 1182280

[9] J. Necas ans J. Kratochvil, On existence of the solution of boundary value problems for elastic-inelastic solids, Comment. Math. Univ. Carolinae 14, 755-760 (1973). | MR 337100 | Zbl 0265.35033

[10] O. John, On the solution of displacement boundary value problem for elastic-inelastic materials, Appl. Math. 19, 65-70 (1974). | MR 347200 | Zbl 0286.73003

[11] P. Laborde, On viscoplasticity with hardening, Numer. Funct. Anal. Optim.1, 315-339 (1979). | MR 537835 | Zbl 0462.73015

[12] M. Sofonea, Functional methodes in thermo-elasto-visco-plasticity, Ph. D. Thesis, Univ. of Bucharest, 1988 (in Romanian).

[13] M. Sofonea, Some remarks on the behaviour of the solution in dynamic processes for rate-type models, to appear in ZAMP, 1990. | MR 1073992 | Zbl 0743.73012

[14] I.R. Ionescu, Functional and numerical methods in viscoplasticity, Ph. D. Thesis, Univ. of Bucharest, 1990 (in Romanian).

[15] I. Suliciu and M. Sabac, Energy estimates in onedimensional rate-type viscoplasticity, J. Math. Anal. Appl., 131, 2, 354-372 (1988) . | MR 935274 | Zbl 0637.73039

[16] N. Cristescu, Elastic/Viscoplastic constitutive equations for rock, Int: J. Rock Mech. Min. Sci. & Geomech. Abster 24 (5), 271-282 (1987).

[17] W. Hahn, Stability of motion, Springer-Verlag, Berlin, 1967. | MR 223668 | Zbl 0189.38503