Abstract
The plate theory is an old branch of solid mechanics – the first development of a general plate theory was made by Kirchhoff more than 150 years ago. After that many improvements were suggested, at the same time some research was focussed on the establishment of a consistent plate theory. Limiting ourself by the linear elastic case, it will be demonstrated that the von Kármán theory can be deduced from the three-dimensional continuum mechanics equation.
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Altenbach, H., Meenen, J. (2008). On the Different Possibilities to Derive Plate and Shell Theories. In: Jaiani, G., Podio-Guidugli, P. (eds) IUTAM Symposium on Relations of Shell Plate Beam and 3D Models. IUTAM Bookseries, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8774-5_3
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