Nonlinear bending of circular sandwich plates

1981 ◽  
Vol 2 (2) ◽  
pp. 189-208 ◽  
Author(s):  
Liu Ren-huai
Keyword(s):  
Sandwich Plates ◽  
Nonlinear Bending ◽  
Circular Sandwich Plates

Geometrically Nonlinear Deformation of Circular Sandwich Plates under Transversely Non-Uniform Temperature Rise

2007 ◽  
Vol 353-358 ◽  
pp. 1161-1164 ◽  
Author(s):  
Jing Ning Yang ◽  
Yong Gang Zhao ◽  
Ping Qiu ◽  
Cai Xue Liu
Keyword(s):  
Boundary Conditions ◽  
Temperature Rise ◽  
Sandwich Plate ◽  
Numerical Solutions ◽  
Plate Theory ◽  
Sandwich Plates ◽  
Geometrically Nonlinear ◽  
Uniform Temperature ◽  
Nonlinear Bending ◽  
Circular Sandwich Plates

Geometrically nonlinear bending and buckling of circular sandwich plates subjected to transversely non-uniform temperature rise is investigated in this paper. On the basis of sandwich plate theory, nonlinear equations governing the large thermal axis-symmetric deformations of circular sandwich plate in terms of the middle plane’s displacements are derived. Numerical solutions of the nonlinear boundary value problem are obtained by using the shooting method. Equilibrium paths and configurations for different boundary conditions and different values of materials and geometry parameters are illustrated. Numerical results show that the boundary conditions and the stiffness greatly effect critical buckling loads.

Full-scale finite element modeling and nonlinear bending analysis of sandwich plates with functionally graded auxetic 3D lattice core

2020 ◽  
pp. 109963622092465 ◽  
Author(s):  
Chong Li ◽  
Hui-Shen Shen ◽  
Hai Wang
Keyword(s):  
Finite Element ◽  
Finite Element Modeling ◽  
Plate Thickness ◽  
Functionally Graded ◽  
Full Scale ◽  
Sandwich Plates ◽  
Nonlinear Bending ◽  
Element Modeling ◽  
Bending Load ◽  
Lattice Core

This paper investigates the nonlinear bending behavior of sandwich plates with functionally graded auxetic 3D lattice core. First and foremost, an auxetic 3D lattice metamaterial with negative effective Poisson’s ratio (EPR) is designed and examined via theoretical and finite element methods with experimental verifications using specimens fabricated by 3D printing. Furthermore, three functionally graded configurations of the auxetic 3D lattice core through the plate thickness direction are proposed and compared with the uniform distribution case. Full-scale finite element modeling and nonlinear thermal-mechanical analysis are performed for the sandwich plates, with the temperature-dependent material properties of both core and face sheets taken into account. Numerical results revealed that the auxetic core can remarkably reduce the lateral deflections, with comparison to their non-auxetic counterpart with positive EPR. Parametric studies are further carried out to demonstrate the effects of functionally graded configurations, temperature rises, facesheet-to-core thickness ratios, boundary conditions, and strut radii on the nonlinear bending load-deflection curves, along with EPR-deflection curves in the large deflection region.

Large deflections of circular sandwich plates.

AIAA Journal ◽  
1968 ◽  
Vol 6 (4) ◽  
pp. 721-723 ◽  
Author(s):  
C. V. SMITH
Keyword(s):  
Sandwich Plates ◽  
Large Deflections ◽  
Circular Sandwich Plates

Dynamic Response of a Clamped Circular Sandwich Plate Subject to Shock Loading

2004 ◽  
Vol 71 (5) ◽  
pp. 637-645 ◽  
Author(s):  
X. Qiu ◽  
V. S. Deshpande ◽  
N. A. Fleck
Keyword(s):  
Finite Element ◽  
Shock Loading ◽  
Structural Response ◽  
Sandwich Plates ◽  
Explicit Finite Element ◽  
The Face ◽  
Analytical Formulas ◽  
Shock Resistance ◽  
Low Sensitivity ◽  
Circular Sandwich Plates

An analytical model is developed for the deformation response of clamped circular sandwich plates subjected to shock loading in air and in water. The deformation history is divided into three sequential stages and analytical expressions are derived for the deflection, degree of core compression, and for the overall structural response time. An explicit finite element method is employed to assess the accuracy of the analytical formulas for the simplified case where the effects of fluid-structure interaction are neglected. The sandwich panel response has only a low sensitivity to the magnitude of the core compressive strength and to the degree of strain hardening in the face-sheets. The finite element results confirm the accuracy of the analytical predictions for the rigid ideally plastic sandwich plates. The analytical formulas are employed to determine optimal geometries of the sandwich plates that maximize the shock resistance of the plates for a given mass. The optimization reveals that sandwich plates have a superior shock resistance relative to monolithic plates of the same mass.

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