Geodesic
Contact problem of two elastic bodies. II
Applications of Mathematics, Tome 25 (1980) no. 2, pp. 110-136
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

The goal of the paper is the study of the contact problem of two elastic bodies which is applicable to the solution of displacements and stresses of the earth continuum and the tunnel wall. In this first part the variational formulation of the continuous and discrete model is stated. The second part covers the proof of convergence of finite element method to the solution of continuous problem while in the third part some practical applications are illustrated.
The goal of the paper is the study of the contact problem of two elastic bodies which is applicable to the solution of displacements and stresses of the earth continuum and the tunnel wall. In this first part the variational formulation of the continuous and discrete model is stated. The second part covers the proof of convergence of finite element method to the solution of continuous problem while in the third part some practical applications are illustrated.
DOI : 10.21136/AM.1980.103844
Classification : 35J65, 49A29, 49D15, 65N15, 73T05, 74A55, 74M15, 74S05
Keywords: two elastic bodies; convergence; continuous model; tunnel problem 
@article{10_21136_AM_1980_103844,
     author = {Janovsk\'y, Vladim{\'\i}r and Proch\'azka, Petr},
     title = {Contact problem of two elastic bodies. {II}},
     journal = {Applications of Mathematics},
     pages = {110--136},
     year = {1980},
     volume = {25},
     number = {2},
     doi = {10.21136/AM.1980.103844},
     mrnumber = {0560325},
     zbl = {0442.73116},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1980.103844/}
}
TY  - JOUR
AU  - Janovský, Vladimír
AU  - Procházka, Petr
TI  - Contact problem of two elastic bodies. II
JO  - Applications of Mathematics
PY  - 1980
SP  - 110
EP  - 136
VL  - 25
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1980.103844/
DO  - 10.21136/AM.1980.103844
LA  - en
ID  - 10_21136_AM_1980_103844
ER  - 
%0 Journal Article
%A Janovský, Vladimír
%A Procházka, Petr
%T Contact problem of two elastic bodies. II
%J Applications of Mathematics
%D 1980
%P 110-136
%V 25
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1980.103844/
%R 10.21136/AM.1980.103844
%G en
%F 10_21136_AM_1980_103844
Janovský, Vladimír; Procházka, Petr. Contact problem of two elastic bodies. II. Applications of Mathematics, Tome 25 (1980) no. 2, pp. 110-136. doi: 10.21136/AM.1980.103844

[1] J. H. Bramble S. Hilbert: Bounds for a class of linear functional with applications to Hermite interpolation. Numer. Math., 16, 1971, 362-369. | DOI | MR

[2] P. K. Ciarlet P. A. Raviart: General Lagrange and Hermite interpolation in $R_m$ with application to finite element methods. Arch. Rat. Mech. Anal. 46, 1972, 172 - 199.

[3] V. Janovský: Contact problem of two elastic bodies. Technical Report BICOM 77-2, Institute of Computational Math., Brunel Univ., England.

[4] V. Janovský P. Procházka: Contact problem of two elastic bodies-Part I. Aplikace matematiky 25 (1980), 87-109. | MR

[5] A. Kufner O. John S. Fučík: Function Spaces. Academia, Prague 1977. | MR

[6] J. Nečas: Les Méthodes directes en théorie des équations elliptiques. Mason, Paris, 1967. | MR

Cité par Sources :