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Bending of a sandwich beam with an individual functionally graded core


[ 1 ] Instytut Mechaniki Stosowanej, Wydział Inżynierii Mechanicznej, Politechnika Poznańska | [ P ] employee

Scientific discipline (Law 2.0)

[2.9] Mechanical engineering

Year of publication


Published in

Journal of Theoretical and Applied Mechanics

Journal year: 2024 | Journal volume: vol. 62 | Journal number: no. 1

Article type

scientific article

Publication language


  • sandwich beam
  • functionally graded core
  • non-linear shear deformation theory

EN This paper is devoted to a clamped sandwich beam with an individual functionally graded core under a uniformly distributed load. A non-linear shear deformation theory is developed with consideration of the classical shear stress formula for beams. Two differential equations of the equilibrium of the beam are obtained based on the principle of stationary total potential energy. The shear effect function and the relative deflection line of the beam are determined. Moreover, a numerical FEM model (Ansys system) of this beam is elaborated. Detailed calculations of exemplary beams are realised using two methods, analytical and numerical FEM.

Date of online publication


Pages (from - to)

3 - 17




License type

CC BY (attribution alone)

Open Access Mode

open journal

Open Access Text Version

final published version

Date of Open Access to the publication

in press

Ministry points / journal


Impact Factor

0,7 [List 2022]

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