 ##  [Von Kármán Plate Equations](/von-karman-plate-equations) 

  ##  [Von Kármán Plate Equations](https://engineering.quantumdictionary.io/von-karman-plate-equations-0) 

  

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Definition

A coupled, nonlinear system of partial differential equations describing large‑deflection elastic behavior of thin plates within the von Kármán geometric approximation: transverse deflection w(x,y) is coupled to an Airy stress function φ(x,y) so that in‑plane membrane stresses influence bending and vice versa.