Buckling and postbuckling nonlinear analysis of imperfect FGM plates reinforced by FGM stiffeners with temperature-dependent properties based on TSDT
Using
Reddy’s third-order shear deformation plate theory (TSDT) with von
Kármán geometrical nonlinearity, this work presents an analytical
solution on the buckling and postbuckling behaviors of eccentrically
stiffened functionally graded material (ES-FGM) plates on elastic
foundations subjected to in-plane compressive loads or thermal loads or
thermo-mechanical loads. Plates are reinforced by closely spaced FGM
stiffeners. The material properties of the plate and stiffeners are
assumed to be temperature-dependent. Theoretical formulations based on
the smeared stiffeners technique and TSDT are derived. The expressions
of thermal parameters are found in the analytical form. Applying
Galerkin method, the expressions to determine the critical buckling load
and analyze the postbuckling mechanical and thermal load–deflection
curves are obtained. Two iterative algorithms are presented for the case
of temperature-dependent plate material properties. The effects of
thermal element, FGM stiffeners, geometrical and material parameters,
initial imperfection, and foundation are considered and discussed. By
comparing the present results with those in references, the accuracy of
the present study is affirmed.
Title:
Buckling and postbuckling nonlinear analysis of imperfect FGM plates reinforced by FGM stiffeners with temperature-dependent properties based on TSDT | |
Authors: | Van Dung, D. Nga, N.T. |
Keywords: | Algorithms Beams and girders Functionally graded materials Galerkin methods |
Issue Date: | 2016 |
Publisher: | Springer-Verlag Wien |
Citation: | Scopus |
Abstract: | Using Reddy’s third-order shear deformation plate theory (TSDT) with von Kármán geometrical nonlinearity, this work presents an analytical solution on the buckling and postbuckling behaviors of eccentrically stiffened functionally graded material (ES-FGM) plates on elastic foundations subjected to in-plane compressive loads or thermal loads or thermo-mechanical loads. Plates are reinforced by closely spaced FGM stiffeners. The material properties of the plate and stiffeners are assumed to be temperature-dependent. Theoretical formulations based on the smeared stiffeners technique and TSDT are derived. The expressions of thermal parameters are found in the analytical form. Applying Galerkin method, the expressions to determine the critical buckling load and analyze the postbuckling mechanical and thermal load–deflection curves are obtained. Two iterative algorithms are presented for the case of temperature-dependent plate material properties. The effects of thermal element, FGM stiffeners, geometrical and material parameters, initial imperfection, and foundation are considered and discussed. By comparing the present results with those in references, the accuracy of the present study is affirmed. |
Description: | Acta Mechanica Volume 227, Issue 8, 1 August 2016, Pages 2377-2401 |
URI: | http://link.springer.com/article/10.1007%2Fs00707-016-1637-y http://repository.vnu.edu.vn/handle/VNU_123/32584 |
ISSN: | 00015970 |
Appears in Collections: | Bài báo của ĐHQGHN trong Scopus |
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