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oa Grid Model Applications in Stress-Strain State Analysis of Metal Plate from Geodetic Monitoring
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, International Conference of Young Professionals «GeoTerrace-2025», Oct 2025, Volume 2025, p.1 - 5
Abstract
The article presents a new approach to studying the stress-strain state (SSS) of metal plates based on the results of geodetic monitoring. A methodology has been proposed that enables the interpretation of geodetic marker displacement data under unknown external loads, which sets it apart from the classical finite element method (FEM). The modeling is based on a conditionally deformed mesh, in which relative deformations – both longitudinal and transverse – are assigned to individual grid cells. This approach, in which the lengths of the cell sides are proportional to the deformations in the given direction, makes it possible to work with tensor parameters that characterize the stress-strain state. The proposed methodology was implemented in the Surfer software environment, which enabled the construction of corresponding deformation fields using established spatial interpolation methods. The results of a simulation experiment with a rectangular metal plate model demonstrated the accuracy and efficiency of the proposed approach: the calculated isolines of relative deformations closely matched analytical estimates. The proposed methodology makes it possible to use traditional grid models in analyzing the stress–strain state of metal plates in structural components of buildings, enhancing the informativeness of geodetic monitoring and its practical value in ensuring safe operation.
