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Mathematical modelling of rock bolt systems. II. (English) Zbl 1058.74036
The author continues Part I [Appl. Math., Praha 43, 413–438 (1998; Zbl 0940.35009)]. A reinforcement consisting of fully grouted elastic bolts is modelled by an elliptic system stemming from linear elasticity applied to both the bolts and the rock mass. The existence and uniqueness of solution is proved. Some asymptotic results enable to replace the real bolt system with a continuous one more suitable for discretization.
MSC:
74G25 Global existence of solutions for equilibrium problems in solid mechanics (MSC2010)
35Q72 Other PDE from mechanics (MSC2000)
74G30 Uniqueness of solutions of equilibrium problems in solid mechanics
74K99 Thin bodies, structures
74L05 Geophysical solid mechanics
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References:
[1] J. Malík: Mathematical modelling of rock bolt systems I . Appl. Math. 43 (1998), 413-438. · Zbl 0940.35009 · doi:10.1023/A:1023217304547 · eudml:32521
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