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

Malík, Josef, and Kolcun, Alexej. "Determination of the initial stress tensor from deformation of underground opening -- theoretical background and applications." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2023. 107-122. <http://eudml.org/doc/299019>.

@inProceedings{Malík2023,
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.},
author = {Malík, Josef, Kolcun, Alexej},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {initial stress tensor; first boundary value problem of the theory of elasticity; condition number of matrices},
location = {Prague},
pages = {107-122},
publisher = {Institute of Mathematics CAS},
title = {Determination of the initial stress tensor from deformation of underground opening -- theoretical background and applications},
url = {http://eudml.org/doc/299019},
year = {2023},
}

TY - CLSWK
AU - Malík, Josef
AU - Kolcun, Alexej
TI - Determination of the initial stress tensor from deformation of underground opening -- theoretical background and applications
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2023
CY - Prague
PB - Institute of Mathematics CAS
SP - 107
EP - 122
AB - 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.
KW - initial stress tensor; first boundary value problem of the theory of elasticity; condition number of matrices
UR - http://eudml.org/doc/299019
ER -