Mathematica(@mathemetica):Stress states collapse to Mohr circles on the σₙ–σₛ plane. - Hydrostatic pressure appears as a lone point; - Uniaxial compression or tension yields a single circle rooted at the origin; - Confined axial and triaxial fields generate nested circles whose diameters equal principal differences; - Pure shear centers at zero mean stress; - Differential stress is simply σ₁ − σ₃; - Pore pressure p_f shifts every circle leftward to give effective stress. Principal matrices sit beside each plot. From the same constructions, tectonicists forecast crustal faults and mining engineers gauge tunnel stability.

2026.07.25 02:52

Stress states collapse to Mohr circles on the σₙ–σₛ plane. - Hydrostatic pressure appears as a lone point; - Uniaxial compression or tension yields a single circle rooted at the origin; - Confined axial and triaxial fields generate nested circles whose diameters equal principal differences; - Pure shear centers at zero mean stress; - Differential stress is simply σ₁ − σ₃; - Pore pressure p_f shifts every circle leftward to give effective stress. Principal matrices sit beside each plot. From the same constructions, tectonicists forecast crustal faults and mining engineers gauge tunnel stability.