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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]
Bernard Parker Haigh, MBE [1] (8 July 1884 [2] [3] – 18 January 1941) [4] [5] was a Scottish mechanical engineer. 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 .
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 .
Rainflow counting identifies the closed cycles in a stress-strain curve. The rainflow-counting algorithm is used in calculating the fatigue life of a component in order to convert a loading sequence of varying stress into a set of constant amplitude stress reversals with equivalent fatigue damage.
A crack growth equation is used for calculating the size of a fatigue crack growing from cyclic loads. The growth of a fatigue crack can result in catastrophic failure, particularly in the case of aircraft. When many growing fatigue cracks interact with one another it is known as widespread fatigue damage. A crack growth equation can be used to ...
Paris' law (also known as the Paris–Erdogan equation) is a crack growth equation that gives the rate of growth of a fatigue crack. The stress intensity factor K {\displaystyle K} characterises the load around a crack tip and the rate of crack growth is experimentally shown to be a function of the range of stress intensity Δ K {\displaystyle ...
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Visualisation of a Cauchy stress tensor σ in the Haight-Westergaard stress space. In continuum mechanics, Haigh–Westergaard stress space, or simply stress space is a 3-dimensional space in which the three spatial axes represent the three principal stresses of a body subject to stress.