Airy stress function

Airy stress function

[¦er·ē ′stres ‚fəŋk·shən]
(mechanics)
A biharmonic function of two variables whose second partial derivatives give the stress components of a body subject to a plane strain.
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The stress components are defined in terms of the above Airy stress function [Phi](r, [Theta]) as
The normal ([[sigma].sub.z], [[sigma].sub.y]) and shear ([[tau].sub.zy]) stresses were calculated from the Airy stress functions (Hahn, 1988).
For the treated material the normal [[sigma].sub.z], [[sigma].sub.y], and tangential [[tau].sub.zy] stresses at an instantaneous point with the coordinates (z, y) were calculated in terms of the Airy stress functions for the half space (Hahn, 1988).