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Stress analysis in a half plane elasticity

N.M.A. Nik Long, M. Yaghobifar, Z. K. Eshkuvatov


The biharmonic equation which governs the stress problem in a half plane elasticity is solved for the stresses using the Fourier transform technique. The Fourier transformed pressure exerted on a half plane is written into the basis of even and odd terms. It is found that the stresses at every point in a half plane elasticity are decomposable into some
obtainable functions. An example is given to show the efficiency of the proposed technique.


plane elasticity, biharmonic equation, biharmonic function, surface forces, stress analysis, Airy function.

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