Mathematical modelling of rock bolt systems. II
Applications of Mathematics, Tome 45 (2000) no. 3, pp. 177-203
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
The main goal of the paper is to describe a reinforcement consisting of fully grouted bolts, which is applied to stabilizing underground openings and tunnels. After a variational formulation is given, the existence and uniqueness is proved. Some asymptotic results that make it possible to replace the real system with a continuous one more suitable for discretization are presented. Some other types of reinforcements and properties are studied.
The main goal of the paper is to describe a reinforcement consisting of fully grouted bolts, which is applied to stabilizing underground openings and tunnels. After a variational formulation is given, the existence and uniqueness is proved. Some asymptotic results that make it possible to replace the real system with a continuous one more suitable for discretization are presented. Some other types of reinforcements and properties are studied.
DOI :
10.1023/A:1023066827495
Classification :
35A05, 35A15, 35B30, 74G25
Keywords: boundary value problems for differential equations; variational methods; existence and uniqueness theorems; dependence of solutions of PDE on parameters; rock bolt systems
Keywords: boundary value problems for differential equations; variational methods; existence and uniqueness theorems; dependence of solutions of PDE on parameters; rock bolt systems
@article{10_1023_A:1023066827495,
author = {Mal{\'\i}k, Josef},
title = {Mathematical modelling of rock bolt systems. {II}},
journal = {Applications of Mathematics},
pages = {177--203},
year = {2000},
volume = {45},
number = {3},
doi = {10.1023/A:1023066827495},
mrnumber = {1757240},
zbl = {1058.74036},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1023066827495/}
}
Malík, Josef. Mathematical modelling of rock bolt systems. II. Applications of Mathematics, Tome 45 (2000) no. 3, pp. 177-203. doi: 10.1023/A:1023066827495
Cité par Sources :