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

Issue

Vol. 10 (2022): GSR

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Non-classical approach to mathematical modeling of plate bending. (2022). Global Scientific Review, 10, 145-152. https://scienticreview.com/index.php/gsr/article/view/109