Abstract
Based on the general theory of elastic plates which abandons Kirchhoff-Love assumption in the classical theory, this paper establishes a first order approximation theory of elastic circular plates with non-Kirchhoff-Love assumption, and presents an analytic solution to the axisymmetric problem of elastic circular plates with clamped boundary under uniformly distributed load. By comparing with the classical solution of the thin circular plates, it is verified that the new solution is closer to the experiment results than the classical solution. By virtue of the new theory, the influence of the diameter-to-thickness ratio upon the precision of the classical theory is examined.
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References
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Wei-zang, C., Xue-ping, R. A further study of the theory of elastic circular plates with non-kirchhoff-love assumptions. Appl Math Mech 16, 101–113 (1995). https://doi.org/10.1007/BF02451450
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DOI: https://doi.org/10.1007/BF02451450