Quasistatic processes for elastic-viscoplastic materials with internal state variables

Mircea Sofonea

Annales scientifiques de l'Université de Clermont. Mathématiques (1989)

  • Volume: 94, Issue: 25, page 47-60
  • ISSN: 0249-7042

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Sofonea, Mircea. "Quasistatic processes for elastic-viscoplastic materials with internal state variables." Annales scientifiques de l'Université de Clermont. Mathématiques 94.25 (1989): 47-60. <http://eudml.org/doc/80570>.

@article{Sofonea1989,
author = {Sofonea, Mircea},
journal = {Annales scientifiques de l'Université de Clermont. Mathématiques},
keywords = {Existence; uniqueness results; continuous dependence; input data},
language = {eng},
number = {25},
pages = {47-60},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {Quasistatic processes for elastic-viscoplastic materials with internal state variables},
url = {http://eudml.org/doc/80570},
volume = {94},
year = {1989},
}

TY - JOUR
AU - Sofonea, Mircea
TI - Quasistatic processes for elastic-viscoplastic materials with internal state variables
JO - Annales scientifiques de l'Université de Clermont. Mathématiques
PY - 1989
PB - UER de Sciences exactes et naturelles de l'Université de Clermont
VL - 94
IS - 25
SP - 47
EP - 60
LA - eng
KW - Existence; uniqueness results; continuous dependence; input data
UR - http://eudml.org/doc/80570
ER -

References

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  1. [1] N. Cristescu and I. Suliciu, Viscoplasticity, Martinus Nijhoff, The Netherlands, Ed. Tehnica, Bucharest, 1982. Zbl0514.73022MR691135
  2. [2] G. Duvaut and J.L. Lions, Les inéquations en mécanique et en physique, Dunod, Paris, 1972. Zbl0298.73001MR464857
  3. [3] P. Suquet, Sur les équations de la plasticité ; existence et régularité des solutions, J. Méc. Téor. Appl.20, 3-39 (1981). Zbl0474.73030MR618942
  4. [4] P. Suquet, Evolution problems for a class of dissipative materials, Quart. Appl. Math.38, 391-414 (1981). Zbl0501.73030MR614549
  5. [5] P. Suquet, Plasticité et homogénisation, Thèses, Univ. de ParisVI, 1982. 
  6. [6] M. Djaoua and P. Suquet, Evolution quasi-statique des milieux visco-plastique de Maxvell-Norton, Math. Methods Appl. sci.6,192-205 (1984). Zbl0563.73024MR751740
  7. [7] I.R. Ionescu and M. Sofonea, Quasistatic processes for elastic-viscoplastic materials, Quart. Appl. Math.2, 229-243 (1988). Zbl0658.73024MR950599
  8. [8] I.R. Ionescu, Dynamic processes for a class of elastic-viscoplastic materials, Preprint Series in Math., INCREST, Bucharest, 64 (1988). MR1182280
  9. [9] J. Necas ans J. Kratochvil, On existence of the solution of boundary value problems for elastic-inelastic solids, Comment. Math. Univ. Carolinae14, 755-760 (1973). Zbl0265.35033MR337100
  10. [10] O. John, On the solution of displacement boundary value problem for elastic-inelastic materials, Appl. Math.19, 65-70 (1974). Zbl0286.73003MR347200
  11. [11] P. Laborde, On viscoplasticity with hardening, Numer. Funct. Anal. Optim.1, 315-339 (1979). Zbl0462.73015MR537835
  12. [12] M. Sofonea, Functional methodes in thermo-elasto-visco-plasticity, Ph. D. Thesis, Univ. of Bucharest, 1988 (in Romanian). 
  13. [13] M. Sofonea, Some remarks on the behaviour of the solution in dynamic processes for rate-type models, to appear in ZAMP, 1990. Zbl0743.73012MR1073992
  14. [14] I.R. Ionescu, Functional and numerical methods in viscoplasticity, Ph. D. Thesis, Univ. of Bucharest, 1990 (in Romanian). Zbl0743.73011
  15. [15] I. Suliciu and M. Sabac, Energy estimates in onedimensional rate-type viscoplasticity, J. Math. Anal. Appl., 131, 2, 354-372 (1988) . Zbl0637.73039MR935274
  16. [16] N. Cristescu, Elastic/Viscoplastic constitutive equations for rock, Int: J. Rock Mech. Min. Sci. & Geomech. Abster24 (5), 271-282 (1987). 
  17. [17] W. Hahn, Stability of motion, Springer-Verlag, Berlin, 1967. Zbl0189.38503MR223668

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