Original title: Determination of the initial stress tensor from deformation of underground opening-theoretical background and applications
Authors: Malík, Josef ; Kolcun, Alexej
Document type: Papers
Conference/Event: Programs and Algorithms of Numerical Mathematics /21./, Jablonec nad Nisou (CZ), 20220619
Year: 2023
Language: eng
Abstract: 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.
Keywords: condition number of matrices; first boundary value problem of the theory of elasticity; initial stress tensor
Project no.: GA19-11441S (CEP), 847593
Funding provider: GA ČR
Host item entry: Programs and Algorithms of Numerical Mathematics 21 : Proceedings of Seminar, ISBN 978-80-85823-73-8

Institution: Institute of Geonics AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: https://dml.cz/bitstream/handle/10338.dmlcz/703193/PANM_21-2022-1_14.pdf
Original record: https://hdl.handle.net/11104/0342778

Permalink: http://www.nusl.cz/ntk/nusl-524978


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