Contact problem of two elastic bodies. II

Vladimír Janovský; Petr Procházka

Aplikace matematiky (1980)

  • Volume: 25, Issue: 2, page 110-136
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Janovský, Vladimír, and Procházka, Petr. "Contact problem of two elastic bodies. II." Aplikace matematiky 25.2 (1980): 110-136. <http://eudml.org/doc/15136>.

@article{Janovský1980,
abstract = {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.},
author = {Janovský, Vladimír, Procházka, Petr},
journal = {Aplikace matematiky},
keywords = {two elastic bodies; convergence; continuous model; tunnel problem; two elastic bodies; convergence; continuous model; tunnel problem},
language = {eng},
number = {2},
pages = {110-136},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Contact problem of two elastic bodies. II},
url = {http://eudml.org/doc/15136},
volume = {25},
year = {1980},
}

TY - JOUR
AU - Janovský, Vladimír
AU - Procházka, Petr
TI - Contact problem of two elastic bodies. II
JO - Aplikace matematiky
PY - 1980
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 25
IS - 2
SP - 110
EP - 136
AB - 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.
LA - eng
KW - two elastic bodies; convergence; continuous model; tunnel problem; two elastic bodies; convergence; continuous model; tunnel problem
UR - http://eudml.org/doc/15136
ER -

References

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  1. J. H. Bramble S. Hilbert, 10.1007/BF02165007, Numer. Math., 16, 1971, 362-369. (1971) Zbl0214.41405MR0290524DOI10.1007/BF02165007
  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. (1972) Zbl0243.41004
  3. V. Janovský, Contact problem of two elastic bodies, Technical Report BICOM 77-2, Institute of Computational Math., Brunel Univ., England. Zbl0442.73115
  4. V. Janovský P. Procházka, Contact problem of two elastic bodies-Part I, Aplikace matematiky 25 (1980), 87-109. (1980) Zbl0442.73115MR0560325
  5. A. Kufner O. John S. Fučík, Function Spaces, Academia, Prague 1977. (1977) Zbl0364.46022MR0482102
  6. J. Nečas, Les Méthodes directes en théorie des équations elliptiques, Mason, Paris, 1967. (1967) MR0227584

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