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The paper gives a projective geometric treatment of planar elasticityproblems. The transformation rules of stress and strain tensors are given andit is shown that these transformations preserve static equilibrium andkinematic compatibility. Generalized conic sections are introducedcorresponding to the tensors, showing the absence of normal stresses and normalstrains to be projective invariants. The transformation of the Airy stressfunction is given in a projective three dimensional setting as well as theconnection with the transformation of membrane shells.

Elasticity in the Projective Plane and Induced Transformations of Membrane Shells