Geodesic
Contact problem of two elastic bodies. I
Applications of Mathematics, Tome 25 (1980) no. 2, pp. 87-109
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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.
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.1980.103843
Classification : 35J65, 49A29, 49D15, 65N10, 73T05, 74A55, 74M15
Keywords: two-dimensional version of tunnel wall; isotropic elastic bodies; infinitesimal displacement; continuous; uniqueness; existence 
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Janovský, Vladimír; Procházka, Petr. Contact problem of two elastic bodies. I. Applications of Mathematics, Tome 25 (1980) no. 2, pp. 87-109. doi: 10.21136/AM.1980.103843

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[3] I. Hlaváček J. Nečas: On inequalities of Korn's type II. Arch. Rat. Mech. Anal., 36, 312 - 334, 1970. | DOI | MR

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

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