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Title: On the existence of solutions of boundary-value problems for elastic-inelastic solids (English)
Author: Nečas, Jindřich
Author: Kratochvíl, Jan
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 14
Issue: 4
Year: 1973
Pages: 755-760
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Category: math
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MSC: 34G05
MSC: 34G99
MSC: 35J60
MSC: 73-35
MSC: 73E99
MSC: 74C99
idZBL: Zbl 0265.35033
idMR: MR0337100
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Date available: 2008-06-05T20:43:21Z
Last updated: 2012-04-27
Stable URL: http://hdl.handle.net/10338.dmlcz/105523
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Reference: [1] P. PERZYNA, W. WOJNO: Thermodynamics of a rate sensitive plastic materials.Arch. mechaniki stosowanej 20 (1968), 499.
Reference: [2] J. KRATOCHVÍL, O. W. DILLON: Thermodynamics of elastic-plastic materials as a theory with internal state variables.J. Appl. Phys. 40 (1969), 3207.
Reference: [3] J. KRATOCHVÍL, O. W. DILLON: Thermodynamics of crystalline elastic-visco-plastic materials.J. Appl. Phys. 41 (1970), 1470.
Reference: [4] J. ZARKA: Sur la viscoplasticité des métaux.Memorial de l'Artillerie francaise 44 (1970), 223.
Reference: [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. Zbl 0235.73002
Reference: [6] J. NEČAS: Les équations elliptiques non linéaires.Czechoslovak Math. J. 19 (1969), 252. MR 0252829
Reference: [7] M. M. VAJNBERG: Variacionnyje metody issledovanija nelinejnych operatorov.(Moscow 1956); English translation, Holden-Day, 1964.
Reference: [8] L. A. Ljusternik, V. I. Sobolev: Elementy funkcional'nogo analiza.Moscow, 1965.
Reference: [9] J. KRATOCHVÍL, J. NEČAS: On the solution of the traction boundary-value problem for elastic-inelastic materials.submitted to Arch. Rational Mech. Anal.
Reference: [10] O. JOHN: On the solution of the displacement boundary-value problem for elastic-inelastic material.Aplikace matematiky (in press).
Reference: [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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