Determination of the initial stress tensor from deformation of underground opening-theoretical background and applications

0571882 - ÚGN 2024 RIV CZ eng C - Conference Paper (international conference)
Malík, Josef - Kolcun, Alexej
Determination of the initial stress tensor from deformation of underground opening-theoretical background and applications.
Programs and Algorithms of Numerical Mathematics 21 : Proceedings of Seminar. Praha: Institute of Mathematics CAS Prague, 2023 - (Chleboun, J.; Kůs, P.; Papež, J.; Rozložník, M.; Segeth, K.; Šístek, J.), s. 107-121. ISBN 978-80-85823-73-8.
[Programs and Algorithms of Numerical Mathematics /21./. Jablonec nad Nisou (CZ), 19.06.2022-24.06.2022]
R&D Projects: GA ČR(CZ) GA19-11441S
EU Projects: European Commission(XE) 847593 - EURAD
Institutional support: RVO:68145535
Keywords : initial stress tensor * first boundary value problem of the theory of elasticity * condition number of matrices
OECD category: Applied mathematics
https://dml.cz/bitstream/handle/10338.dmlcz/703193/PANM_21-2022-1_14.pdf

In this paper a method for the detection of initial stress tensor is proposed. The method is based on measuring distances between some pairs of points located on the wall of underground opening in the excavation process. This methods is based on the solution of eighteen auxiliary problems in the theory of elasticity with force boundary conditions. The optimal location of the pairs of points on the wall of underground work is studied. The pairs must be located so that the condition number of a certain matrix has the minimal value, which guarantees a reliable estimation of initial stress tensor.
Permanent Link: https://hdl.handle.net/11104/0342778