Comparison of the Reliability of Strength Limit Calculation Methods for Prismatic Samples with Different Spreading of Normal Contact Stresses in Their Wedge Failure Shape
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Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
IOP Publishing Ltd
Abstract
ENG: This article explores methods for calculating the strength limits of solid objects subjected to compression. Traditionally, two stress distribution patterns are used: the exponential pattern by E.P. Unksov and the linear pattern by L. Prandtl. The authors introduce an enhanced stress distribution method. They compare the accuracy of these methods in calculating strength limits and constructing "normal stress - longitudinal strain" diagrams for wedge-shaped failures in rock samples. Four properties are considered: shear strength, coefficients of internal and external friction, and elasticity modulus. The results show that, with an external friction coefficient up to 0.3, all methods yield similar accuracy in strength limit calculations and ultimate stress-strain curves. Some curves exhibit stress drops, explained by a transition from convex to concave slip lines during failure. Additionally, there are hardening curves in the ultimate curves without theoretical justification. The comparison of calculated strength limits with experimental data confirms the method's accuracy: 13.7% error for the exponential method, 11.4% for the linear method, and 8.1% for the enhanced distribution, especially for low contact friction values (up to fc=0.3).
Description
M. Malich: ORCID 0000-0003-4967-5378
Keywords
stress distribution patterns, rocks, diagrams, "stress - longitudinal deformation", shear strength, coefficients of internal and external friction, elasticity modulus, КГМ
Citation
Vasyliev L., Vasyliev D., Malich M., Rizo Z., Kress D. Comparison of the Reliability of Strength Limit Calculation Methods for Prismatic Samples with Different Spreading of Normal Contact Stresses in Their Wedge Failure Shape. IOP Conference Series: Earth and Environmental Science. 2024. Vol. 1348 : Proc. of the V International Conference "Essays of Mining Science and Practice" (08/11/2023 – 10/11/2023). Art. 012033. DOI: 10.1088/1755-1315/1348/1/012033.