*Ю.И. Димитриенко, Ю.В. Юрин*

14

*Инженерный журнал: наука и инновации*

# 10·2017

**Comparative stress analysis in nonsymmetrical multilayer**

**composite plates in the asymptotic theory**

**and three-dimensional finite element calculation**

© Yu.I. Dimitrienko, Yu.V. Yurin

Bauman Moscow State Technical University, Moscow, 105005, Russia

*The article analyzes the accuracy of previously developed multilayer thin plates’ asymp-*

*totic theory. We compare the solution results of the bending problem for a multilayer*

*asymmetric plate under pressure obtained in the asymptotic theory and in the exact*

*three-dimensional elasticity theory. The problem solution in the asymptotic theory for the*

*asymmetric plate case was obtained for the first time. The paper shows that the plate*

*layers’ arrangement asymmetry leads to the longitudinal plate displacements at trans-*

*verse pressure. We used a software finite-element ANSYS package with a specially con-*

*structed finite element mesh to solve the elasticity theory three-dimensional problem. This*

*grid allows for a finite element nodes thickening along the plate thickness while main-*

*taining a relatively small grid lateral elements total number. The paper compares all*

*stresses distributed along the plate thickness, obtained by means of the asymptotic theory*

*and finite elements method. We show that the developed asymptotic theory provides high*

*solution accuracy for all stress components, including transverse and shear stresses.*

*Keywords:*

*asymptotic theory of plates, multilayer thin plates, asymmetric plates, finite*

*element method, lateral stresses, numerical simulation*

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