Failure criteria (Mohr-Coulomb)

Input(s)

σa\sigma_{a}: Principle Stress (psi)

σb\sigma_{b}: Second Strongest Stress (psi)

B: Angle Between Fault and Direction of Principle Stress (degrees)

Output(s)

τ\tau: Shear Stress (psi)

σ\sigma: Normal Stress (psi)

Formula(s)

τ=0.5(σaσb)sin(2β)σ=0.5(σa+σb)+0.5(σaσb)cos(2β)\begin{gathered} \tau=0.5 *\left(\sigma_{\mathrm{a}}-\sigma_{\mathrm{b}}\right) * \sin (2 * \beta) \\ \sigma=0.5 *\left(\sigma_{\mathrm{a}}+\sigma_{\mathrm{b}}\right)+0.5 *\left(\sigma_{\mathrm{a}}-\sigma_{\mathrm{b}}\right) * \cos (2 * \beta) \end{gathered}

Reference(s)

Mark D. Zoback, Reservoir Geomechanics, Cambridge University Press, UK, Page: 89.

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