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Title: On the solution of the displacement boundary-value problem for elastic-inelastic materials (English)
Author: John, Oldřich
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 19
Issue: 2
Year: 1974
Pages: 61-71
Summary lang: English
Summary lang: Czech
Category: math
Summary: The system of equations which describe the model with the so-called internal state variables in continuum mechanics is studied. A theorem asserting the existence and uniqueness of a solution of the displacement boundary-value problem is proved by combining the theory of monotone operators and the Banach contraction principle. ()
MSC: 74A20
MSC: 74C99
idZBL: Zbl 0286.73003
idMR: MR0347200
DOI: 10.21136/AM.1974.103515
Date available: 2008-05-20T17:58:12Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] J. Kratochvíl O. W. Dillon: Thermodynamics of Elastic-Plastic Materials as a Theory with Internal State Variables.Journal of Applied Physics, Vol. 40, No. 8, 3207-3218, 1969.
Reference: [2] J. Kratochvíl O. W. Dillon: Thermodynamics of Crystalline Elastic-Visco-Plastic Materials.Journal of Applied Physics, Vol. 41, No. 4, 1470-1479, 1970. 10.1063/1.1659058
Reference: [3] J. Kratochvíl J. Nečas: On the Solution of the Traction Boundary Vaiue Problem for Elastic-Inelastic Materials.CMUC 14 (4), 1973, 755-760. MR 0337100
Reference: [4] I. Hlaváček J. Nečas: On Inequalities of Korn's Type.Part I, II. Archive for Rational Mechanics and Analysis, Vol. 36, No. 4, 1970.
Reference: [5] S. Fučík J. Nečas V. Souček: Introduction to the Variational Calculus.(Czech.) Lecture Notes of Prague University, 1972.
Reference: [6] Вайнберг M. M.: Вариационный метод и метод монотонных операторов.Наука, Москва 1972. Zbl 1156.34335


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