The Föppl-von Kármán equations for plates with incompatible strains
The Föppl-von Kármán equations for plates with incompatible strains
We provide a derivation of the Föppl-von Kármán equations for the shape of and stresses in an elastic plate with incompatible or residual strains. These might arise from a range of causes: inhomogeneous growth, plastic deformation, swelling or shrinkage driven by solvent absorption. Our analysis gives rigorous bounds on the …