Definitions
Thin plate model: A model where the only kinematic d.o.f. is the transverse deflection. It neglects the shear energy.
Thick plate model: A model including also two in-plane rotation d.o.f. and including shear deflection.
Introduction
Plates are three-dimensional structures with a small dimension compared to the other two dimensions. Numerous approaches were suggested in order to replace the three-dimensional problem by a two-dimensional problem while guaranteeing the accuracy of the reconstructed three-dimensional fields. Turning the 3D problem into a 2D plate model is known as dimensional reduction.
The approaches for deriving a plate model from 3D elasticity may be separated in two main categories: axiomatic and asymptotic approaches. Axiomatic approaches start with ad hoc assumptions on the 3D field representation of the...
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References
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Lebée, A., Brisard, S. (2018). 3D Derivations of Static Plate Theories. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_132-1
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DOI: https://doi.org/10.1007/978-3-662-53605-6_132-1
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Chapter history
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Latest
Three Dimentional Derivations of Static Plate Theories- Published:
- 11 October 2019
DOI: https://doi.org/10.1007/978-3-662-53605-6_132-2
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Original
3D Derivations of Static Plate Theories- Published:
- 28 December 2017
DOI: https://doi.org/10.1007/978-3-662-53605-6_132-1