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Visualizing Faults and Stress: The Mohr Circle Equation

Understand the relationship between stresses and tractions on faults through the graphical construction of the Mohr Circle. Learn to measure angles and apply equations, like the Coulomb Law of Failure, to predict critical shear stress. Explore stress regimes in lithosphere. Practice applying Davis and Reynolds principles in structural geology.

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Visualizing Faults and Stress: The Mohr Circle Equation

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  1. Faults and stress GLG510 Advanced Structural Geology

  2. Relationship between traction and stress GLG510 Advanced Structural Geology

  3. syy s3 syx = syx sxx s1 GLG510 Advanced Structural Geology

  4. GLG510 Advanced Structural Geology

  5. GLG510 Advanced Structural Geology

  6. GLG510 Advanced Structural Geology

  7. Faults and stress: traction and stress Mohr Circle Graphical construction that lets us visualize the relationship between the principal stresses and tractions on a boundary (like a fault). • measured positive clockwise from s1 direction clockwise to plane of interest 2q measure positive clockwise from –sn direction on Mohr circle GLG510 Advanced Structural Geology

  8. Faults and stress: traction and stress Equations of the Mohr Circle (also “Cauchy’s equations”) GLG510 Advanced Structural Geology

  9. Faults and stress: traction and stress 90 GLG510 Advanced Structural Geology

  10. Faults and stress: traction and stress GLG510 Advanced Structural Geology

  11. Faults and stress: traction and stress GLG510 Advanced Structural Geology

  12. Faults and stress: traction and stress GLG510 Advanced Structural Geology

  13. Faults and stress: traction and stress 35 GLG510 Advanced Structural Geology

  14. Faults and stress: traction and stress -Davis and Reynolds t = ss GLG510 Advanced Structural Geology

  15. -Engelder, 1993, Stress regimes in the lithosphere, Princeton Univ. Press GLG510 Advanced Structural Geology

  16. Pollard and Fletcher GLG510 Advanced Structural Geology

  17. Coulomb Law of Failure Coulomb equation tc = c + tan fsn Where tc = critical shear stress required for faulting (shear strength) c = cohesive strength tan f = coefficient of internal friction = m GLG510 Advanced Structural Geology

  18. GLG510 Advanced Structural Geology

  19. Faults and stress: traction and stress GLG510 Advanced Structural Geology

  20. GLG510 Advanced Structural Geology -D+R

  21. GLG510 Advanced Structural Geology

  22. GLG510 Advanced Structural Geology

  23. Practice GLG510 Advanced Structural Geology

  24. GLG510 Advanced Structural Geology

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