# Mohr–Coulomb failure criterion

## Description

Mohr–Coulomb theory is a mathematical model describing the response of brittle materials such as concrete, or rubble piles, to shear stress as well as normal stress.The Mohr–Coulomb failure criterion represents the linear envelope that is obtained from a plot of the shear strength of a material versus the applied normal stress.

Related formulas## Variables

τ | The shear strength (in Pa) (dimensionless) |

σ | The normal stress (in Pa) (dimensionless) |

ϕ | The slope of the failure envelope ( cohesion) (in deg) (dimensionless) |

c | The intercept of the failure envelope with the τ axis ( angle of internal friction) (dimensionless) |