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Limit analysis (or yield design theory) enables to determine the ultimate load that a structure can sustain under the conditions of static equilibrium and fulfillment of a yield (or strength) criterion. It relies on the use of two bounding theorems (resp. static and kinematic approach) which enable to bracket the ultimate load by a lower (resp. upper) bound. In the case of plates in bending, both equilibrium and yield conditions can be formulated in terms of generalized stresses, e.g., bending moments for the case of thin plates.
Introduction
To simplify the presentation, it will be considered that the plate loading depends upon one loading parameter only, which will be taken as a distributed out-of-plane loading f = −p(x α )e 3. The generalization to multiple loading parameters is straightforward, and more details can be found in Salençon (1983, 2013).
Introducing a reference load p 0(x α ) and a scalar...
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References
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Bleyer, J. (2018). Limit Analysis of Plates. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_135-1
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DOI: https://doi.org/10.1007/978-3-662-53605-6_135-1
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