Mathematical modelling of rock bolt reinforcement

Runt, David; Novotný, Jaroslav; Pruška, Jan

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics CAS(Prague), page 102-111

Abstract

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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.

How to cite

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Runt, David, Novotný, Jaroslav, and Pruška, Jan. "Mathematical modelling of rock bolt reinforcement." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2017. 102-111. <http://eudml.org/doc/288159>.

@inProceedings{Runt2017,
abstract = {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.},
author = {Runt, David, Novotný, Jaroslav, Pruška, Jan},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {rock bolt reinforcement; mathematical modelling; the finite element method},
location = {Prague},
pages = {102-111},
publisher = {Institute of Mathematics CAS},
title = {Mathematical modelling of rock bolt reinforcement},
url = {http://eudml.org/doc/288159},
year = {2017},
}

TY - CLSWK
AU - Runt, David
AU - Novotný, Jaroslav
AU - Pruška, Jan
TI - Mathematical modelling of rock bolt reinforcement
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2017
CY - Prague
PB - Institute of Mathematics CAS
SP - 102
EP - 111
AB - 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.
KW - rock bolt reinforcement; mathematical modelling; the finite element method
UR - http://eudml.org/doc/288159
ER -

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