Homogenization of some contact problems for the system of elasticity in perforated domains

G. A. Yosifian

Rendiconti del Seminario Matematico della Università di Padova (2001)

  • Volume: 105, page 37-64
  • ISSN: 0041-8994

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Yosifian, G. A.. "Homogenization of some contact problems for the system of elasticity in perforated domains." Rendiconti del Seminario Matematico della Università di Padova 105 (2001): 37-64. <http://eudml.org/doc/108554>.

@article{Yosifian2001,
author = {Yosifian, G. A.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {linear elasticity; friction forces; unilateral problems; variational inequality; boundary conditions of Signorini type},
language = {eng},
pages = {37-64},
publisher = {Seminario Matematico of the University of Padua},
title = {Homogenization of some contact problems for the system of elasticity in perforated domains},
url = {http://eudml.org/doc/108554},
volume = {105},
year = {2001},
}

TY - JOUR
AU - Yosifian, G. A.
TI - Homogenization of some contact problems for the system of elasticity in perforated domains
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2001
PB - Seminario Matematico of the University of Padua
VL - 105
SP - 37
EP - 64
LA - eng
KW - linear elasticity; friction forces; unilateral problems; variational inequality; boundary conditions of Signorini type
UR - http://eudml.org/doc/108554
ER -

References

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  1. [DL] G. Duvaut - J.-L. Lions, Les Inéquations en Mécanique et en Physique, Dunod, Paris, 1972. Zbl0298.73001MR464857
  2. [ET] I. Ekeland - R. Temam, Convex Analysis and Variational Problems, North-Holland, Amsterdam, 1976. Zbl0322.90046MR463994
  3. [F] G. Fichera, Existence theorems in elasticity, Handbuch der Physik, VIa, /2, Springer-Verlag, Berlin, 1972. 
  4. [JKO] V.V. Jikov - S.M. Kozlov - O.A. Oleinik, Homogenization of Differential Operators and Integral Functionals, Springer-Verlag, Berlin, 1994. Zbl0838.35001MR1329546
  5. [L] J.-L. Lions, Quelques Méthodes de Résolution des Problèmes aux Limites non Linéaires, Dunod, Gauthier-Villars, Paris, 1969. Zbl0189.40603MR259693
  6. [OSY] O.A. Oleinik - A.S. Shamaev - G.A. Yosifian, Mathematical Problems in Elasticity and Homogenization, North-Holland, Amsterdam, 1992. Zbl0768.73003MR1195131
  7. [Y1] G.A. Yosifian, On some homogenization problems in perforated domains with nonlinear boundary conditions, Applicable Analysis, 65 (1997), pp. 257-288. Zbl0901.35006MR1488255
  8. [Y2] G.A. Yosifian, Some homogenization problems for the system of elasticity with nonlinear boundary conditions in perforated domains, Applicable Analysis, 71 (1999), pp. 379-411. Zbl1026.35014MR1690109
  9. [Y3] G.A. Yosifian, Some unilateral boundary value problems for elastic bodies with rugged boundaries, Trudy Seminara imeni Petrowskogo, 21 (1999). Preprint No 99-18 (SFB 359) IWR, Universität Heidelberg. MR1690109
  10. [Y4] G.A. Yosifian, Homgenization of the elasticity system in a perforated domain with reaction forces as boundary conditions on the cavities, Dokl. Russian Academy of Sciences, 361:5 (1998). Zbl0961.35011

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