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Title: Evolutionary variational inequalities and applications in plasticity (English)
Author: Nečas, Jindřich
Author: Trávníček, Luděk
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 25
Issue: 4
Year: 1980
Pages: 241-256
Summary lang: English
Summary lang: Czech
Summary lang: Russian
Category: math
Summary: An abstract theory of evolutionary variational inequalities and its applications to the traction boundary value problems of elastoplasticity are studied, using the penalty method to prove the existence of a solution. (English)
Keyword: evolutionary variational inequalities
Keyword: flow theory of plasticity
Keyword: penalty method
MSC: 49A29
MSC: 49J27
MSC: 49J40
MSC: 49M30
MSC: 73E99
MSC: 74C99
idZBL: Zbl 0453.49009
idMR: MR0583585
DOI: 10.21136/AM.1980.103858
Date available: 2008-05-20T18:14:31Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] G. Duvaut J. L. Lions: Les inéquations en méchanique et en physique.Dunod, Paris 1972. MR 0464857
Reference: [2] Q S. Nguyen: Materiaux élastoplastiques écrouissables.Arch. of Mech. 25, 1973, p. 695.
Reference: [3] K. Gröger: Quasi-static and dynamic behaviour of elastic-plastic materials.To appear.
Reference: [4] J. Kratochvíl J. Nečas: On the solution of the traction boundary-value problem for elastic-inelastic materials.CMUC 14 (4), 1973, 755-760. MR 0337100
Reference: [5] I. Hlaváček J. Nečas: On inequalities of Korn's type.Part I, II. Archive for Rat. Mech. and Anal., Vol. 36, No. 4, 1970, 305-334. MR 0252844, 10.1007/BF00249518
Reference: [6] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia, Praha 1967. MR 0227584
Reference: [7] S. Fučík J. Nečas V. Souček: Introduction to variational calculus.(Czech.) Lecture Notes of Prague University, 1972.
Reference: [8] K. Washizu: Variational methods in elasticity and plasticity.Pergamon Press, 1968. Zbl 0164.26001, MR 0391679
Reference: [9] J. Nečas: On the formulation of the traction problem for the flow theory of plasticity.Apl. mat. 18 (2), 1973, 119-127. MR 0314342
Reference: [10] I. Hlaváček J. Nečas: Introduction to the mathematical theory of elastic and elastic-plastic bodies.(Czech.), Praha (to appear).
Reference: [11] N. Bourbaki: Integration.Paris 1965. Zbl 0136.03404


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