An isogeometric continuum shell element for modeling the nonlinear response of functionally graded material structures

In this research article, semiloof shell element was used to study the behaviour of plate and shells under mechanical and thermal load for stress, free vibration, initially stressed vibration, mechanical buckling, and non-linear vibration. In the above cases, the material properties: Isotropic, Composite and Functionally Graded Material (FGM) were considered. Wherein, the material property for the FGM shells was assumed to vary through the thickness of the shell by varying the volume fraction of the constituent, whereas, for composites, classical laminated theory was used. Utilizing the semiloof shell element, and the above material properties, the package COMSAP was developed. From the obtained results, we have observed that with coarse meshes, semiloof shell elements present better results, and it is especially effective in the case of thin plates and shells.

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Geometrically non-linear static analysis of functionally graded material shells with a discrete double directors shell element

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.10.017 ◽

2017 ◽

Vol 315 ◽

pp. 1-24 ◽

Cited By ~ 35

Author(s):

A. Frikha ◽

F. Dammak

Keyword(s):

Static Analysis ◽

Functionally Graded Material ◽

Shell Element ◽

Functionally Graded ◽

Non Linear ◽

Graded Material ◽

Linear Static Analysis

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Vibration of Initially Stressed Functionally Graded Material Plates and Shells

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.684.158 ◽

2014 ◽

Vol 684 ◽

pp. 158-164 ◽

Cited By ~ 1

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.

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Nonlinear thermomechanical response of pressure-loaded doubly curved functionally graded material sandwich panels in thermal environments including tangential edge constraints

Journal of Sandwich Structures & Materials ◽

10.1177/1099636216684312 ◽

2017 ◽

Vol 20 (8) ◽

pp. 974-1008 ◽

Cited By ~ 13

Author(s):

Hoang Van Tung

Keyword(s):

Functionally Graded Material ◽

Material Properties ◽

Nonlinear Response ◽

Sandwich Panels ◽

Functionally Graded ◽

Elastic Foundations ◽

Thermal Environments ◽

Geometrical Imperfection ◽

Graded Material ◽

Doubly Curved

This paper investigates the nonlinear response of doubly curved functionally graded material sandwich panels resting on elastic foundations, exposed to thermal environments and subjected to uniform external pressure. The material properties of both face sheets and core layer are assumed to be temperature dependent, and effective material properties of functionally graded material layers are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. Formulations are based on first-order shear deformation shell theory taking geometrical nonlinearity, initial geometrical imperfection, Pasternak type elastic foundations, and tangential edge constraints into consideration. Approximate solutions are assumed to satisfy simply supported boundary conditions and Galerkin procedure is applied to derive expressions of buckling loads and nonlinear load–deflection relation. The effects of material, geometry and foundation parameters, face sheet thickness ratio, initial geometrical imperfection, thermal environments and degree of tangential restraint of edges on the snap-through instability, and nonlinear response of spherical and cylindrical functionally graded material sandwich panels are analyzed and discussed in detail.

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