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Article

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Title

A refined shear deformation theory of an asymmetric sandwich beam with porous core: Linear bending problem

Authors

[ 1 ] Instytut Matematyki, Wydział Automatyki, Robotyki i Elektrotechniki, Politechnika Poznańska | [ P ] employee

Scientific discipline (Law 2.0)

[2.9] Mechanical engineering

Year of publication

2023

Published in

Applied Mathematical Modelling

Journal year: 2023 | Journal volume: vol. 124

Article type

scientific article

Publication language

english

Keywords
EN
  • sandwich structures
  • shear deformation theory
  • analytical modelling
  • bending
Abstract

EN This paper is devoted to a sandwich beam with an asymmetric structure under uniformly distributed load. The first end of this beam is simply supported, while second end is clamped. The individual nonlinear deformation function of a plane beam cross section - the shear effect with consideration of the classical shear stress formula is analytically developed. Displacements, strains and stresses taking into account the individual nonlinear deformation function for successive layers of this beam are elaborated in detail. The system of two differential equation of equilibrium of this beam, based on the principle of stationary potential energy, is obtained. This system of equations is precisely solved analytically, according to the theory of differential equations. The individual nonlinear deformation functions, shear stresses and deflections of two cases of sample beams are determined in detail: the first with variable core porosity in the direction of the beam depth, the second with constant core porosity - standard sandwich structure. The calculations results specified in Tables and graphically presented in Figures.

Pages (from - to)

624 - 638

DOI

10.1016/j.apm.2023.08.025

URL

https://www.sciencedirect.com/science/article/pii/S0307904X23003724?via%3Dihub

Ministry points / journal

100

Impact Factor

4,4

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