Bending of a sandwich beam with an individual functionally graded core
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Łukasiewicz Research Network – Poznan Institute of Technology, Rail Vehicles Center Poznan, Poland
Poznan University of Technology, Institute of Applied Mechanics, Poznan, Poland
Submission date: 2023-08-03
Final revision date: 2023-09-11
Acceptance date: 2023-09-12
Online publication date: 2023-12-01
Publication date: 2024-01-31
Corresponding author
Krzysztof Sowiński   

Institute of Applied Mechanics, Poznan University of Technology, Jana Pawła II 24, 60-965, Poznan, Poland
Journal of Theoretical and Applied Mechanics 2024;62(1):3-17
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.
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