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Article

Runt, David ; Novotný, Jaroslav ; Pruška, Jan
Mathematical modelling of rock bolt reinforcement. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016. Institute of Mathematics CAS, Prague, 2017. pp. 102-111
MSC: 65N30, 74B05, 74G15, 74L10 | DOI: 10.21136/panm.2016.13
Keywords:
rock bolt reinforcement; mathematical modelling; the finite element method
Summary:
Rock bolts as construction elements are often used in underground civil engineering projects. This work deals with their numerical modelling. Aydan special finite elements for the description of rock bolts and hexahedral quadratic finite elements for the description of rock massif were used. A code for the computation of stiffness matrices and right hand sides of these elements was developed. The code was tested on several simple test examples and their results were compared with the analytical solution. Stresses in a rock massif in the surrounding of an excavation reinforced by rock bolts were computed. The results show that the use of rock bolts can reduce the areas of maximal mechanical stress in the vicinity of excavations.
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