yield criterion

In 1993, Hill proposed another yield criterion for plane stress problems with planar anisotropy.

In the field of mechanics he is well known for the Drucker-Prager yield criterion.

The following represent the most common yield criterion as applied to an isotropic material (uniform properties in all directions).

This is identical to the Tresca yield criterion.

The quadratic Hill yield criterion depends only on the deviatoric stresses and is pressure independent.

The Deshpande-Fleck yield criterion for foams has the form given in above equation.

The following table summarizes von Mises yield criterion for the different stress conditions.

The Mohr-Coulomb yield criterion may be expressed as:

Generalized Hill yield criterion.

Hill's quadratic yield criterion.

One of his key contributions to the field of plasticity is the Drucker-Prager yield criterion.

The Drucker-Prager yield criterion is also commonly expressed in terms of the material cohesion and friction angle.

Hosford yield criterion.

Mathematically the von Mises yield criterion is expressed as:

The Hosford yield criterion is a function that is used to determine whether a material has undergone plastic yielding under the action of stress.

The earliest version was a straightforward extension of the von Mises yield criterion and had a quadratic form.

For transversely isotropic materials with being the plane of symmetry, the generalized Hill yield criterion reduces to (with and )

It can be shown that the Tsai-Wu criterion is a particular case of the generalized Hill yield criterion.

The Drucker-Prager yield criterion is a pressure-dependent model for determining whether a material has failed or undergone plastic yielding.

For the yield surface to be convex, the Willam-Warnke yield criterion requires that and .

The Tresca yield criterion is taken to be the work of Henri Tresca.

The Bresler-Pister yield criterion is a function that was originally devised to predict the strength of concrete under multiaxial stress states.

A yield criterion, often expressed as yield surface, or yield locus, is a hypothesis concerning the limit of elasticity under any combination of stresses.

There are two interpretations of yield criterion: one is purely mathematical in taking a statistical approach while other models attempt to provide a justification based on established physical principles.

The von Mises yield criterion suggests that the yielding of materials begins when the second deviatoric stress invariant reaches a critical value.