Geodesic
Mathematical modelling of rock bolt systems. I
Applications of Mathematics, Tome 43 (1998) no. 6, pp. 413-438

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The main goal of the paper is to give a variational formulation of the behaviour of bolt systems in rock mass. The problem arises in geomechanics where bolt systems are applied to reinforce underground openings by inserting steel bars or cables. After giving a variational formulation, we prove the existence and uniqueness and some other properties.
DOI : 10.1023/A:1023217304547
Classification : 35A05, 35A15, 35B30, 35Q72, 73V25, 74L10
Keywords: boundary value problems for differential equations; variational methods; existence and uniqueness theorems; dependence of solutions of PDE on parameters; rock bolt systems 
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     title = {Mathematical modelling of rock bolt systems. {I}},
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Malík, Josef. Mathematical modelling of rock bolt systems. I. Applications of Mathematics, Tome 43 (1998) no. 6, pp. 413-438. doi: 10.1023/A:1023217304547

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