Abstract
A general method for the construction of a 3D solution applicable to the equilibrium of a linear elastic layer which is subjected to a general load of bending or stretching is discussed. In the special case of a layer with faces free of stress, the general solution is derived explicitly. The general solution has a sufficient number of arbitrary functions to allow it to be used to solve a whole class of practical 3D problems, e.g. an inclusion, a partial through-the-thickness crack, a cylindrical hole etc.
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Folias, E.S., Reuter, W.G. On the equilibrium of a linear elastic layer. Computational Mechanics 5, 459–468 (1990). https://doi.org/10.1007/BF01113449
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DOI: https://doi.org/10.1007/BF01113449