FINITE ELEMENT MODELING OF THE THERMOELASTIC BEHAVIOR OF FUNCTIONALLY GRADED PLATES AND SHELLS

2000 ◽  
Vol 01 (01) ◽  
pp. 151-165 ◽  
Author(s):  
N. EL-ABBASI ◽  
S. A. MEGUID
Keyword(s):  
Finite Element ◽  
Finite Element Modeling ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Element Modeling ◽  
Plates And Shells

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.

Vibration of Initially Stressed Functionally Graded Material Plates and Shells

2014 ◽  
Vol 684 ◽  
pp. 158-164 ◽  
Author(s):  
Sugirtha Singh J. Monslin ◽  
Thangaratnam R. Kari
Keyword(s):  
Finite Element ◽  
Functionally Graded Material ◽  
Volume Fraction ◽  
Shell Element ◽  
Functionally Graded ◽  
Element Formulation ◽  
Vibration Frequencies ◽  
Functionally Graded Plates ◽  
Graded Material ◽  
Plates And Shells

Finite element formulation using semiloof shell element for initially stressed vibration of Functionally Graded Material (FGM) plates and shells are presented. The influence of volume fraction index on the vibration frequencies of thin functionally graded plates and shells and variation of temperature on frequency are studied. New results are presented for initially stressed vibration of FGM plates and shells.

Finite Element Modeling of Eigenvibrations of a Loaded Bar

2018 ◽  
Vol 931 ◽  
pp. 148-151
Author(s):  
Anton A. Samsonov ◽  
Sergey I. Solov'ev
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Eigenvalue Problem ◽  
Finite Element Modeling ◽  
Limit Point ◽  
Nonlinear Eigenvalue Problem ◽  
Approximate Solutions ◽  
Uniform Grid ◽  
Element Modeling ◽  
Plates And Shells

The nonlinear second-order differential eigenvalue problem describing eigenvibrations of a bar with elastically attached load is investigated. This problem has an increasing sequence of positive simple eigenvalues with limit point at infinity. The sequence of eigenvalues corresponds to a system of normalized eigenfunctions. The initial nonlinear eigenvalue problem is approximated by the quadrature finite element method on a uniform grid. The existence and accuracy of approximate solutions are studied. Investigations of the present paper can be generalized for the cases of more complicated and important problems on eigenvibrations of beams, plates and shells with elastically attached loads.

Sign in / Sign up

Export Citation Format

Share Document