Hello to everyone, I have a problem with the solution of plane elasticity problems with the method of Airy stress functions.(adsbygoogle = window.adsbygoogle || []).push({});

For instance I can solve a problem of uniaxial or biaxial uniform tension with a 2nd order polynomial, but if I add shear on only two opposite sides the problem seems to have no solution. Is it possible that I have to formulate the no shear boundary conditions (on the free shear sides) in a weak form? If so I cannot understand the mathematical reason for this. Someone can help me? thank you! (In the attached file a little sketch to clarify my question)

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# Airy stress function

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