Two plates were considered that follow the Kirchhoff-Love hypotheses and have John’s material formulation and the standard second order material formulation. A comparative analysis of actual strain and stress distributions was carried for the inverse problem of plate non-linear bending. It was shown that through-thickness variation of the components of plate Bio symmetric stress tensor was much closer to linear distribution than the distribution law for the components of second Piola-Kirchhoff stress tensor. Linearization of stresses with respect to the degenerated coordinate leads to practically similar values of internal moments and significantly different membrane forces.
APPLICATION OF KIRCHHOFF-LOVE HYPOTHESES FOR NON-LINEAR PLATE BENDING
2017
Article (Journal)
Electronic Resource
Unknown
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