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ARTICLE
Elastic buckling of a rectangular sandwich plate with an individual functionally graded core
1
Łukasiewicz Research Network – Poznan Institute of Technology, Poznan, Poland
2
Poznan University of Technology, Institute of Mathematics, Poznan, Poland
3
Poznan University of Technology, Institute of Applied Mechanics, Poznan, Poland
Submission date: 2023-09-15
Final revision date: 2023-11-13
Acceptance date: 2024-11-22
Online publication date: 2024-01-31
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
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):171-185
KEYWORDS
TOPICS
ABSTRACT
This paper is devoted to a thin-walled sandwich plate with an individual functionally graded
core. The nonlinear shear deformation theory of a straight normal line is applied. A system
of three differential equations of equilibrium of this plate is obtained, based on the principle
of stationary potential energy, which is reduced to two differential equations and solved
analytically. The critical load of the rectangular sandwich plate is determined. A detailed
analytical study is carried out for selected exemplary plates. Moreover, a numerical FEM
model of this plate is developed. The results of these calculations are compared with each
other.
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