A geometric representation of resolved normal stress and shear stress. For two principal stresses, its centre is and radius . A physical plane-normal rotation by corresponds to on the circle, with the sense depending on the shear-sign convention. Named for Christian Otto Mohr.
The locus of critical combinations of normal stress and shear stress. Contact of a Mohr circle with this boundary identifies an ideal failure threshold; it does not by itself describe post-failure dynamics.
A frictional shear-strength approximation , with cohesion and internal friction angle . Effective compression increases shear resistance. A separate tensile cutoff is generally needed at low confinement. The names refer to Christian Otto Mohr and Charles-Augustin de Coulomb.
The angle whose tangent gives the slope of a linear frictional failure envelope. It controls both the confinement dependence of strength and the optimum new shear-fracture orientation.
The shear-strength intercept at zero effective normal stress in a specified frictional failure envelope. It is a model parameter and is not automatically the tensile strength.
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Mohr's Circle is a graphical representation used in the field of mechanics and civil engineering to analyze the state of stress at a point in a material. It provides a way to visualize the relationships between normal and shear stresses acting on various planes through that point, making it easier to understand complex stress states.