| Title:
|
An analysis of a contact problem for a cylindrical shell: A primary and dual formulation (English) |
| Author:
|
Bock, Igor |
| Author:
|
Lovíšek, Ján |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
28 |
| Issue:
|
6 |
| Year:
|
1983 |
| Pages:
|
408-429 |
| Summary lang:
|
English |
| Summary lang:
|
Slovak |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper the contact problem for a cylindrical shell and a stiff punch is studied. The existence and uniqueness of a solution is verified. The finite element method is discussed. (English) |
| Keyword:
|
sequence converges strongly to solution |
| Keyword:
|
existence |
| Keyword:
|
frictionless |
| Keyword:
|
linear elastic cylindrical shell |
| Keyword:
|
rigid stamp |
| Keyword:
|
no numerical applications |
| Keyword:
|
governing relations |
| Keyword:
|
weak form of the problem |
| Keyword:
|
dual formulation |
| Keyword:
|
saddle functional |
| Keyword:
|
unique solution of the FE approximation exists |
| MSC:
|
49J40 |
| MSC:
|
73T05 |
| MSC:
|
74A55 |
| MSC:
|
74B99 |
| MSC:
|
74G30 |
| MSC:
|
74H25 |
| MSC:
|
74H99 |
| MSC:
|
74K15 |
| MSC:
|
74M15 |
| MSC:
|
74S05 |
| MSC:
|
74S30 |
| idZBL:
|
Zbl 0534.73091 |
| idMR:
|
MR0723202 |
| DOI:
|
10.21136/AM.1983.104054 |
| . |
| Date available:
|
2008-05-20T18:23:27Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104054 |
| . |
| Reference:
|
[1] J. Céa: Optimisation, Théorie et Algorithrnes.Dunod Paris, 1971. MR 0298892 |
| Reference:
|
[2] P. G. Ciarlet: The finite element method for elliptic problems.North-Holland 1978. Zbl 0383.65058, MR 0520174 |
| Reference:
|
[3] G. Duvaut J. L. Lions: Inequalities in mechanics and physics.Berlin, Springer Verlag 1975. MR 0521262 |
| Reference:
|
[4] R. Glowinski J. L. Lions R. Trémolieres: Numerical analysis of variational inequalities.North-Holland, Amsterdam, New York 1981. MR 0635927 |
| Reference:
|
[5] I. Ekeland R. Temam: Analyse convexe et problèmes variationnels.Dunod, Paris 1974. MR 0463993 |
| Reference:
|
[6] J. Haslinger I. Hlaváček: Contact between elastic bodies II. Finite element analysis.Apl. mat. 26, 1981, p. 263-290. MR 0623506 |
| Reference:
|
[7] I. Hlaváček J. Haslinger J. Nečas J. Lovíšek: Solution of variational inequalities in mechanics.(Slovak). ALFA-SNTL, 1982. MR 0755152 |
| Reference:
|
[8] I. Hlaváček J. Nečas: On inequalities of Korn's type.Arch. Rat. Mech. Anal., 36, 1970, 305-334. MR 0252844, 10.1007/BF00249518 |
| Reference:
|
[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. |
| Reference:
|
[10] N. Kikuchi T. Oden: Contact problems in elasticity.SIAM, Philadelphia, 1981. |
| Reference:
|
[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 0613950 |
| Reference:
|
[12] D. Kinderlehrer G. Stampacchia: An introduction to variational inequalities and their applications.Academic Press, 1980. MR 0567696 |
| Reference:
|
[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 0464840 |
| Reference:
|
[14] J. L. Lions: Quelques méthodes de résolution děs problèmes aux limites non linéaires.Dunod, Paris, 1969. Zbl 0189.40603, MR 0259693 |
| Reference:
|
[15] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia Praha, 1967. MR 0227584 |
| Reference:
|
[16] J. Nečas I. Hlaváček: Mathematical theory of elastic and elasto-plastic bodies: An introduction.Elsevier 1981. MR 0600655 |
| Reference:
|
[17] B. L. Pelech: Generalized theory of shells.(Russian). Lvov 1978. |
| . |
