Geodesic
Contact problem of two elastic bodies. III
Applications of Mathematics, Tome 25 (1980) no. 2, pp. 137-146
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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.1980.103845
Classification : 35J65, 49A29, 49D15, 65N10, 73T05, 74A55, 74M15
Keywords: two elastic bodies; numerical and practical aspects; tunnel problem; algorithm; numerical results 
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Janovský, Vladimír; Procházka, Petr. Contact problem of two elastic bodies. III. Applications of Mathematics, Tome 25 (1980) no. 2, pp. 137-146. doi: 10.21136/AM.1980.103845

[1] J. Сéa: Optimisation théorie et algorithmes. Dunod, Paris 1971.

[2] O. C. Zienkiewicz: The finite element method in engineering science. Mc Graw-Hill, London 1971. | MR | Zbl

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

[4] V. Janovský P. Procházka: Contact problem of two elastic bodies - Part II. Apl. mat. 25 (1980), 110-1З6. | MR

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