STRESS AND STRAIN STATE OF A SEMI-PLANE UNDER A LOAD WITH AN INCREASING TRIANGULAR LOAD DISTRIBUTION
Keywords:
Stress-strain state, half-plane, triangular load diagram, isotropic body, anisotropic medium, complex potentials, rocks, MathcadAbstract
This paper investigates the stress-strain state of isotropic and anisotropic half-planes under a load with an increasing triangular stress pattern. Using complex potentials and Hooke’s law, analytical solutions for the stress components and relative strains are obtained. Calculations were performed for transversely isotropic rock masses (gray sandy shale) using Mathcad. The authors constructed stress distribution diagrams in horizontal and vertical sections, as well as deformation isolines, which allow for the analysis of patterns in the state of rock masses and structural foundations as a function of depth.
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