On isoperimetric inequalities in plasticity

Schumann, Walter

doi:10.1090/qam/103658

Author: Walter Schumann
Journal: Quart. Appl. Math. 16 (1958), 309-314
MSC: Primary 73.00
DOI: https://doi.org/10.1090/qam/103658
MathSciNet review: 103658
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Abstract: The purpose of this paper is the proof of the inequality $P \ge 6\pi {M_0}$, where $P$ is the total limit load, ${M_0}$ the yield moment of a thin, perfectly plastic, simply supported, uniformly loaded plate of arbitrary shape and connection.

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