Stress Functions
In linear elasticity, the equations describing the deformation of an elastic body subject only to surface forces on the boundary are (using index notation) the equilibrium equation:
where is the stress tensor, and the Beltrami-Michell compatibility equations:
A general solution of these equations may be expressed in terms the Beltrami stress tensor. Stress functions are derived as special cases of this Beltrami stress tensor which, although less general, sometimes will yield a more tractable method of solution for the elastic equations.
Read more about Stress Functions: Beltrami Stress Functions, Maxwell Stress Functions, Airy Stress Function, Morera Stress Functions, Prandtl Stress Function
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