Secondary buckled states of rectangular sandwich plates

1990 ◽  
Vol 6 (3) ◽  
pp. 237-247 ◽  
Author(s):  
He Luwu ◽  
Cheng Changjun
Keyword(s):  
Sandwich Plates ◽  
Rectangular Sandwich Plates

Large Deflection of Rectangular Sandwich Plates

AIAA Journal ◽  
1967 ◽  
Vol 5 (9) ◽  
pp. 1706-1708 ◽  
Author(s):  
HAN-PIN KAN ◽  
JU-CHIN HUANG
Keyword(s):  
Large Deflection ◽  
Sandwich Plates ◽  
Rectangular Sandwich Plates

Calculation for Elastic Global Buckling of Sandwich Plates with Ribs

2012 ◽  
Vol 188 ◽  
pp. 25-30 ◽  
Author(s):  
Qi Chao Xue ◽  
Guang Ping Zou ◽  
Ye Wu ◽  
Hai Lin Xiong ◽  
Meng Chai
Keyword(s):  
Energy Method ◽  
Sandwich Plate ◽  
Plate Theory ◽  
Sandwich Plates ◽  
Buckling Stress ◽  
Global Buckling ◽  
Simple Support ◽  
Rectangular Sandwich Plate ◽  
Two Sides ◽  
Rectangular Sandwich Plates

Based on Reissner’s sandwich plate theory, the critical globlal buckling equation of sandwich plate with ribs is deduced by energy method under simple support boundary conditions. And the critical buckling solution is obtained and discussed here. Afterwards a rectangular sandwich plate with steel faceplate and polyurthane core is taken as an example. The influence on critical global buckling stress with different inertia moments in rectangular sandwich plates are discussed. simularly the effect of the lengh ratio of two sides and the thickness of rectangular sandwich plate are also studied.

Three-Dimensional Elasticity Solution for Sandwich Plates With Orthotropic Phases: The Positive Discriminant Case

2008 ◽  
Vol 76 (1) ◽  
Author(s):  
George A. Kardomateas
Keyword(s):  
Characteristic Equation ◽  
Orthotropic Material ◽  
Three Dimensional ◽  
Sandwich Plates ◽  
Elasticity Solution ◽  
Material Constants ◽  
Real Roots ◽  
Three Dimensional Elasticity ◽  
Rectangular Sandwich Plates ◽  
Positive Discriminant

A three-dimensional elasticity solution for rectangular sandwich plates exists only under restrictive assumptions on the orthotropic material constants of the constitutive phases (i.e., face sheets and core). In particular, only for negative or zero discriminant of the cubic characteristic equation, which is formed from these constants (case of three real roots). The purpose of the present paper is to present the corresponding solution for the more challenging case of positive discriminant, in which two of the roots are complex conjugates.

scholarly journals Analytical solution of some delamination scenarios in thick structural sandwich plates

2017 ◽  
Vol 21 (4) ◽  
pp. 1271-1315 ◽  
Author(s):  
András Szekrényes
Keyword(s):  
Finite Element ◽  
State Space Model ◽  
Sandwich Plates ◽  
Third Order ◽  
Element Analysis ◽  
The Core ◽  
Integral Distribution ◽  
Type Boundary ◽  
Delamination Front ◽  
Rectangular Sandwich Plates

The first-, second- and third-order shear deformation plate theories are applied in this work to model thick rectangular sandwich plates with through-width delamination. The models are based on the concept of the four equivalent single layers and the system of exact kinematic conditions. Three different scenarios are considered: the failure of the core, the delamination between the top facesheet and the core, and finally, the case when the delamination takes place in the local midplane of the top facesheet. A general model is derived and applied to sandwich plates with Lévy type boundary conditions. The governing equations are summarized and the state-space model of the system is created. The mechanical fields are calculated and compared to finite element results. The comparison shows that the first-order sandwich plate model is inaccurate, on the other hand, the second- and third-order theories capture very well the mechanical fields compared to finite element results. The J-integral distribution is also calculated along the delamination front and it is concluded that the third- and second-order models give very good approximations of the results by finite element analysis and the virtual crack closure technique.

Free vibration analysis of rectangular sandwich plates with compressible core and various boundary conditions

2020 ◽  
pp. 109963622097927
Author(s):  
Sajjad Riahi Farsani ◽  
Arash Ramian ◽  
Ramazan-Ali Jafari-Talookolaei ◽  
Paolo S Valvo ◽  
Maryam Abedi
Keyword(s):  
Boundary Conditions ◽  
Plate Theory ◽  
Ritz Method ◽  
Shear Deformation Theory ◽  
Free Vibration Analysis ◽  
Thickness Ratio ◽  
Quadratic Functions ◽  
Sandwich Plates ◽  
Various Boundary Conditions ◽  
Rectangular Sandwich Plates

Extended higher-order sandwich plate theory is used to analyze the free vibrations of rectangular sandwich plates with compressible core. Accordingly, first-order shear deformation theory is used to model the laminated face sheets. Besides, the in-plane and transverse displacements of the core are assumed to be cubic and quadratic functions of the thickness coordinate, respectively. To deduce the governing equations, Hamilton’s principle is used. Then, based on the Rayleigh-Ritz method, single series expansions with two-variable orthogonal polynomials – namely, the orthogonal plate functions – are considered to approximate the displacement components. Lastly, a generalized eigenvalue problem is solved to obtain the free vibrational characteristics of sandwich plates with both symmetric and anti-symmetric lay-ups subjected to various boundary conditions. The method is validated against the results obtained by different methods in the literature. Finally, the effects of the plate side-to-thickness ratio, in-plane aspect ratio, and core-to-face sheets thickness ratio on the natural frequencies are discussed.

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