Keywords: sequence converges strongly to solution; existence; frictionless; linear elastic cylindrical shell; rigid stamp; no numerical applications; governing relations; weak form of the problem; dual formulation; saddle functional; unique solution of the FE approximation exists
@article{10_21136_AM_1983_104054,
author = {Bock, Igor and Lov{\'\i}\v{s}ek, J\'an},
title = {An analysis of a contact problem for a cylindrical shell: {A} primary and dual formulation},
journal = {Applications of Mathematics},
pages = {408--429},
year = {1983},
volume = {28},
number = {6},
doi = {10.21136/AM.1983.104054},
mrnumber = {0723202},
zbl = {0534.73091},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1983.104054/}
}
TY - JOUR AU - Bock, Igor AU - Lovíšek, Ján TI - An analysis of a contact problem for a cylindrical shell: A primary and dual formulation JO - Applications of Mathematics PY - 1983 SP - 408 EP - 429 VL - 28 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1983.104054/ DO - 10.21136/AM.1983.104054 LA - en ID - 10_21136_AM_1983_104054 ER -
%0 Journal Article %A Bock, Igor %A Lovíšek, Ján %T An analysis of a contact problem for a cylindrical shell: A primary and dual formulation %J Applications of Mathematics %D 1983 %P 408-429 %V 28 %N 6 %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1983.104054/ %R 10.21136/AM.1983.104054 %G en %F 10_21136_AM_1983_104054
Bock, Igor; Lovíšek, Ján. An analysis of a contact problem for a cylindrical shell: A primary and dual formulation. Applications of Mathematics, Tome 28 (1983) no. 6, pp. 408-429. doi: 10.21136/AM.1983.104054
[1] J. Céa: Optimisation, Théorie et Algorithrnes. Dunod Paris, 1971. | MR
[2] P. G. Ciarlet: The finite element method for elliptic problems. North-Holland 1978. | MR | Zbl
[3] G. Duvaut J. L. Lions: Inequalities in mechanics and physics. Berlin, Springer Verlag 1975. | MR
[4] R. Glowinski J. L. Lions R. Trémolieres: Numerical analysis of variational inequalities. North-Holland, Amsterdam, New York 1981. | MR
[5] I. Ekeland R. Temam: Analyse convexe et problèmes variationnels. Dunod, Paris 1974. | MR
[6] J. Haslinger I. Hlaváček: Contact between elastic bodies II. Finite element analysis. Apl. mat. 26, 1981, p. 263-290. | MR
[7] I. Hlaváček J. Haslinger J. Nečas J. Lovíšek: Solution of variational inequalities in mechanics. (Slovak). ALFA-SNTL, 1982. | MR
[8] I. Hlaváček J. Nečas: On inequalities of Korn's type. Arch. Rat. Mech. Anal., 36, 1970, 305-334. | DOI | MR
[9] N. D. Hung G. de Saxcé: Finite element analysis of contact problems based on the unilateral constraints formulation. Structural Control. H.H.E. Leipholz (ed) IUTAM, 1980, p. 341-373.
[10] N. Kikuchi T. Oden: Contact problems in elasticity. SIAM, Philadelphia, 1981.
[11] N. Kikuchi Y. Joon Song: Penalty, finite-element approximations of a class of unilateral problems in linear elasticity. Quarterly of Appl. Math. Vol. XXXVIV No 1. April 1981. | MR
[12] D. Kinderlehrer G. Stampacchia: An introduction to variational inequalities and their applications. Academic Press, 1980. | MR
[13] A. C. Kravčuk: On Hertz's problem for linearly and nonlinearly elastic bodies of finite dimensions. (Russian). Prikladnaja matematika i mechanika, 1977, t. 41, No 2, s. 28-30. | MR
[14] J. L. Lions: Quelques méthodes de résolution děs problèmes aux limites non linéaires. Dunod, Paris, 1969. | MR | Zbl
[15] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia Praha, 1967. | MR
[16] J. Nečas I. Hlaváček: Mathematical theory of elastic and elasto-plastic bodies: An introduction. Elsevier 1981. | MR
[17] B. L. Pelech: Generalized theory of shells. (Russian). Lvov 1978.
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