On the existence of solutions of boundary-value problems for elastic-inelastic solids

Jindřich Nečas; Jan Kratochvíl

Commentationes Mathematicae Universitatis Carolinae (1973)

  • Volume: 014, Issue: 4, page 755-760
  • ISSN: 0010-2628

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Nečas, Jindřich, and Kratochvíl, Jan. "On the existence of solutions of boundary-value problems for elastic-inelastic solids." Commentationes Mathematicae Universitatis Carolinae 014.4 (1973): 755-760. <http://eudml.org/doc/16594>.

@article{Nečas1973,
author = {Nečas, Jindřich, Kratochvíl, Jan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {4},
pages = {755-760},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the existence of solutions of boundary-value problems for elastic-inelastic solids},
url = {http://eudml.org/doc/16594},
volume = {014},
year = {1973},
}

TY - JOUR
AU - Nečas, Jindřich
AU - Kratochvíl, Jan
TI - On the existence of solutions of boundary-value problems for elastic-inelastic solids
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1973
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 014
IS - 4
SP - 755
EP - 760
LA - eng
UR - http://eudml.org/doc/16594
ER -

References

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  1. P. PERZYNA, W. WOJNO, Thermodynamics of a rate sensitive plastic materials, Arch. mechaniki stosowanej 20 (1968), 499. (1968) 
  2. J. KRATOCHVÍL, O. W. DILLON, Thermodynamics of elastic-plastic materials as a theory with internal state variables, J. Appl. Phys. 40 (1969), 3207. (1969) 
  3. J. KRATOCHVÍL, O. W. DILLON, Thermodynamics of crystalline elastic-visco-plastic materials, J. Appl. Phys. 41 (1970), 1470. (1970) 
  4. J. ZARKA, Sur la viscoplasticité des métaux, Memorial de l'Artillerie francaise 44 (1970), 223. (1970) 
  5. J. R. RICE, Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity, J. Mech. Phys. Solids 19 (1971), 433. (1971) Zbl0235.73002
  6. J. NEČAS, Les équations elliptiques non linéaires, Czechoslovak Math. J. 19 (1969), 252. (1969) MR0252829
  7. M. M. VAJNBERG, Variacionnyje metody issledovanija nelinejnych operatorov, (Moscow 1956); English translation, Holden-Day, 1964. (1956) 
  8. L. A. Ljusternik, V. I. Sobolev, Elementy funkcional'nogo analiza, Moscow, 1965. (1965) 
  9. J. KRATOCHVÍL, J. NEČAS, On the solution of the traction boundary-value problem for elastic-inelastic materials, submitted to Arch. Rational Mech. Anal. 
  10. O. JOHN, On the solution of the displacement boundary-value problem for elastic-inelastic material, Aplikace matematiky (in press). 
  11. P. DOKTOR, On the solution of the mixed boundary-value problem for elastic-inelastic material with the time dependent partition of the boundary conditions, to appear. 

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