Abstract: In this paper, the Variational Iteration Method (VIM) or Extended Kantorovich Method (EKM) is formulated for the first time for flexible porous functionally graded (PFGM) plates with different boundary conditions and geometric nonlinearity according to the theory of Theodore von Karman. Its accuracy and efficiency are demonstrated. The plate is subjected to a uniform transversal load and temperature field. The displacement field of the plate is approximated based on the classical plate theory (CTP) or Kirchhoff’s plate theory. The governing equations are derived using Hamilton’s principle. Modified Coupled Stress Theory (MCST) is used to account for size-dependent effects. The material properties vary with thickness and are temperature dependent. Four porosity distribution patterns are considered in this study. Several examples are solved to demonstrate the proposed algorithm. The results obtained are compared with solutions obtained by the Bubnov-Galerkin Method (BGM) in higher approximations, the Finite Difference Method (FDM) of second order accuracy, as well as with results obtained by the Finite Element Method (FEM) of other authors. The results include an analysis of the effect of size dependent parameters, porosity type pattern, porosity index, functionally graded index, temperature field and different types of boundary conditions on the stress–strain state and bending deflection of plates.

Cite: Krysko A.V. , Gubaidullin D.A. , Kalutsky L.A. , Krysko V.A.
Nonlinear deformations of size-dependent porous functionally graded plates in a temperature field
International Journal of Solids and Structures. 2024. V.293. 112759 :1-21. DOI: 10.1016/j.ijsolstr.2024.112759 WOS Scopus РИНЦ OpenAlex

Dates:

Submitted:	Nov 14, 2023
Accepted:	Mar 6, 2024
Published online:	Mar 12, 2024

Identifiers:

Web of science:	WOS:001209842400001
Scopus:	2-s2.0-85188519064
Elibrary:	66493707
OpenAlex:	W4392721535

Citing:

DB	Citing
OpenAlex	6
Scopus	1
Web of science	7

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