Non-classical approach to mathematical modeling of plate bending

Akrоm Akhmedov; Lutfiya Kuldibaeva

Non-classical approach to mathematical modeling of plate bending

Authors

Akrоm Akhmedov Professor National University Of Uzbekistan
Lutfiya Kuldibaeva PhD Student National University of Uzbekistan

Keywords:

stress tensor, Cauchy tensor, stress-strain state, deformable body, recurrence relation

Abstract

This work is devoted to constructing a modified non-classical theory of plates without preliminary hypotheses about the distribution of the displacement vector and the deformation tensor on the basis of three-dimensional equations of the nonlinear elasticity theory of V.V. Novozhilov.

The proposed approach is applicable to deformation of non-canonical plates and shallow shells. The recurrent relations have been obtained; they will be further used in determining the ratios of interlayer variables in layered composites

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Published

2022-12-30

How to Cite

Akrоm Akhmedov, & Lutfiya Kuldibaeva. (2022). Non-classical approach to mathematical modeling of plate bending. Global Scientific Review, 10, 145–152. Retrieved from http://scienticreview.com/index.php/gsr/article/view/109