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Mathematical modelling of rock bolt systems I
Authors:Josef Malík
Institution:(1) Department of Applied Mathematics, Institute of Geonics, Academy of Sciences of the Czech Republic, Studentská, 1768, 708 00 Ostrava, Czech Republic
Abstract: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.
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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