Tresca criterion

The Tresca criterion, proposed by Henri Edouard Tresca in 1864, is a yield criterion in continuum mechanics. It suggests that plastic deformation in metals is primarily dependent on shear stresses, rather than the average normal stress. This means that a material will begin to deform permanently when the maximum shear stress within it reaches a certain limit. This contrasts with theories that consider hydrostatic pressure as a significant factor in yielding. The Tresca criterion was an early step in understanding how materials behave under stress beyond their elastic limit, forming a basis for later, more refined plasticity theories.1