Mathematical modelling of rock bolt systems. II
Applications of Mathematics (2000)
- Volume: 45, Issue: 3, page 177-203
- ISSN: 0862-7940
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topMalík, Josef. "Mathematical modelling of rock bolt systems. II." Applications of Mathematics 45.3 (2000): 177-203. <http://eudml.org/doc/32522>.
@article{Malík2000,
abstract = {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.},
author = {Malík, Josef},
journal = {Applications of Mathematics},
keywords = {boundary value problems for differential equations; variational methods; existence and uniqueness theorems; dependence of solutions of PDE on parameters; rock bolt systems; boundary value problems; variational methods; elastic rock bolt systems},
language = {eng},
number = {3},
pages = {177-203},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Mathematical modelling of rock bolt systems. II},
url = {http://eudml.org/doc/32522},
volume = {45},
year = {2000},
}
TY - JOUR
AU - Malík, Josef
TI - Mathematical modelling of rock bolt systems. II
JO - Applications of Mathematics
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 45
IS - 3
SP - 177
EP - 203
AB - 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.
LA - eng
KW - boundary value problems for differential equations; variational methods; existence and uniqueness theorems; dependence of solutions of PDE on parameters; rock bolt systems; boundary value problems; variational methods; elastic rock bolt systems
UR - http://eudml.org/doc/32522
ER -
References
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- Analyse Convexe et Problémes Variationnels, Dunod, Paris, 1974. (1974)
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