Hill Yield Criteria - Quadratic Hill Yield Criterion

Quadratic Hill Yield Criterion

The quadratic Hill yield criterion has the form

F(\sigma_{22}-\sigma_{33})^2 + G(\sigma_{33}-\sigma_{11})^2 + H(\sigma_{11}-\sigma_{22})^2 + 2L\sigma_{23}^2 + 2M\sigma_{31}^2 + 2N\sigma_{12}^2 = 1 ~.

Here F, G, H, L, M, N are constants that have to be determined experimentally and are the stresses. The quadratic Hill yield criterion depends only on the deviatoric stresses and is pressure independent. It predicts the same yield stress in tension and in compression.

Read more about this topic:  Hill Yield Criteria

Famous quotes containing the words hill, yield and/or criterion:

    “And then the man whom Sorrow named his friend
    Cried out, Dim sea, hear my most piteous story!
    The sea swept on and cried her old cry still,
    Rolling along in dreams from hill to hill.
    He fled the persecution of her glory....”
    —William Butler Yeats (1865–1939)

    “A book should contain pure discoveries, glimpses of terra firma, though by shipwrecked mariners, and not the art of navigation by those who have never been out of sight of land. They must not yield wheat and potatoes, but must themselves be the unconstrained and natural harvest of their author’s lives.”
    —Henry David Thoreau (1817–1862)

    “... the condition of women affords, in all countries, the best criterion by which to judge the character of men.”
    —Frances Wright (1795–1852)