Modeling the stress state of a sediment basin in a subduction zone using S. P. Timoshenko's thin plate theory

A mathematical model of the stress field in sedimentary layers within a subduction zone is proposed, accounting for lateral displacements, gravity, and frictional forces at the interface with the basement. The necessary assumptions and limitations of the model are discussed, enabling the application of thin-plate theory based on S. P. Ty­moshenko's hypotheses. The stress and displacement fields are calculated, and the distribution of principal compressive stress in the plane-strain state is analyzed. Using the Coulomb–Mohr failure criterion, two sets of probable slip lines are constructed, predicting the orientation of thrust faults. These predictions closely correspond to typical thrust structures, particularly those observed in the Ukrainian Carpathians. Cite as: M. M. Khomyak, L. M. Khomyak, V. V. Fourman, “Modeling the stress state of a sediment basin in a subduction zone using S. P. Timoshenko's thin plate theory,” Prykl. Probl. Mekh. Mat., Issue 22, 61–68 (2024), https://doi.org/10.15407/apmm2024.22.61-68