Stress functions
（重定向自Airy stress function）
In linear elasticity, the equations describing the deformation of an elastic body subject only to surface forces (&/or body forces that could be expressed as potentials) on the boundary are (using index notation) the equilibrium equation:
where ![\sigma](/Images/godic/202412/18/9d43cb8bbcb702e9d5943de477f099e24800.png")
is the stress tensor, and the Beltrami-Michell compatibility equations: