Can someone suggest references for the deduction of Airy stress function and insight of Airy stress for elastic plate?

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Kane C. Bennett

J.R. Barber's Elasticity Book is a good reference. If I recall correctly, he does cover 2D problems.

Gouranga Mallik

Thank you very much!

Pravesh Kumar

You can refer to the "Theory of Elasticity" by S Temoshenko....very well explained for.various cases.

M. D. Kovalenko

Timoshenko S.P., or Muskhelishvili N - very good books