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Within the branch of materials science known as material failure theory, the Goodman relation (also called a Goodman diagram, a Goodman-Haigh diagram, a Haigh diagram or a Haigh-Soderberg diagram) is an equation used to quantify the interaction of mean and alternating stresses on the fatigue life of a material. [1]
Lode coordinates (,,) or Haigh–Westergaard coordinates (,,). [ 1 ] are a set of tensor invariants that span the space of real , symmetric , second-order, 3-dimensional tensors and are isomorphic with respect to principal stress space .
Haigh was educated at Allan Glen's School [6] and the University of Glasgow He served as professor of applied mechanics at the Royal Naval College in Greenwich. Haigh is known for his contributions in the fields of metal fatigue, welding and theory of plasticity. He is particularly known for Haigh diagram. [7] [8]
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The yield surface is usually expressed in terms of (and visualized in) a three-dimensional principal stress space (,,), a two- or three-dimensional space spanned by stress invariants (,,) or a version of the three-dimensional Haigh–Westergaard stress space. Thus we may write the equation of the yield surface (that is, the yield function) in ...
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Figure 1: View of Drucker–Prager yield surface in 3D space of principal stresses for =, =. The Drucker–Prager yield criterion [1] is a pressure-dependent model for determining whether a material has failed or undergone plastic yielding.