LARGE DEFLECTION FINITE STRIP ANALYSIS OF FUNCTIONALLY GRADED PLATES UNDER PRESSURE LOADS

2007 ◽  
Vol 07 (02) ◽  
pp. 193-211 ◽  
Author(s):  
H. R. OVESY ◽  
S. A. M. GHANNADPOUR
Keyword(s):  
Functionally Graded Material ◽  
Material Properties ◽  
Large Deflection ◽  
Normal Pressure ◽  
Functionally Graded ◽  
Rectangular Plates ◽  
Functionally Graded Plates ◽  
Pressure Loading ◽  
Finite Strip ◽  
Graded Material

Description is given for a finite strip method for analyzing the large deflection response of simply supported rectangular functionally graded plates under normal pressure loading. The material properties of the functionally graded plates are assumed to vary continuously through the thickness of the plate, according to the simple power law and exponential law distribution. Both distributions of material properties are used to examine the stress variations. The fundamental equations for rectangular plates of functionally graded material (FGM) are obtained by discretizing the plate into some finite strips, which are developed by combining the Von–Karman theory for large transverse deflection and the concept of functionally graded material. The solution is obtained by the minimization of the total potential energy. The Newton–Raphson method is used to solve the non-linear equilibrium equations. Numerical results for square functionally graded plates are given in dimensionless graphical forms, and compared to the available results, wherever possible. The effects of material properties on the stress field through the thickness and on the variation of the central deflection at a given value of normal pressure loading are determined and discussed.

Geometrically nonlinear dynamic response and vibration of shear deformable eccentrically stiffened functionally graded material cylindrical panels subjected to thermal, mechanical, and blast loads

2018 ◽  
Vol 22 (3) ◽  
pp. 658-688 ◽  
Author(s):  
Nguyen Dinh Duc ◽  
Ngo Duc Tuan ◽  
Pham Hong Cong ◽  
Ngo Dinh Dat ◽  
Nguyen Dinh Khoa
Keyword(s):  
Dynamic Response ◽  
Functionally Graded Material ◽  
Material Properties ◽  
Nonlinear Dynamic ◽  
Functionally Graded ◽  
Blast Loads ◽  
Temperature Dependent ◽  
Nonlinear Dynamic Response ◽  
Cylindrical Panels ◽  
Graded Material

Based on the first order shear deformation shell theory, this paper presents an analysis of the nonlinear dynamic response and vibration of imperfect eccentrically stiffened functionally graded material (ES-FGM) cylindrical panels subjected to mechanical, thermal, and blast loads resting on elastic foundations. The material properties are assumed to be temperature-dependent and graded in the thickness direction according to simple power-law distribution in terms of the volume fractions of the constituents. Both functionally graded material cylindrical panels and stiffeners having temperature-dependent properties are deformed under temperature, simultaneously. Numerical results for the dynamic response of the imperfect ES-FGM cylindrical panels with two cases of boundary conditions are obtained by the Galerkin method and fourth-order Runge–Kutta method. The results show the effects of geometrical parameters, material properties, imperfections, mechanical and blast loads, temperature, elastic foundations and boundary conditions on the nonlinear dynamic response of the imperfect ES-FGM cylindrical panels. The obtained numerical results are validated by comparing with other results reported in the open literature.

An Investigation on Buckling Behaviour of Functionally Graded Plates Using Finite Strip Method

2012 ◽  
Vol 152-154 ◽  
pp. 1470-1476 ◽  
Author(s):  
Seyyed Amir Mahdi Ghannadpour ◽  
Hamid Reza Ovesy ◽  
Mohammad Nassirnia
Keyword(s):  
Material Properties ◽  
Homogenization Method ◽  
Functionally Graded ◽  
Biaxial Compression ◽  
Thickness Direction ◽  
Functionally Graded Plates ◽  
Finite Strip ◽  
Strip Method ◽  
Finite Strip Method ◽  
Buckling Behavior

Semi-analytical finite strip method (FSM) for analyzing the buckling behavior of some functionally graded plates is presented in this paper. The plates are assumed to be under three types of mechanical loadings, namely; uniaxial compression, biaxial compression, and biaxial compression and tension. The material properties are assumed to vary in the thickness direction according to the power-law variation in terms of volume fractions of the constituents. Thus, the material properties are estimated from the both Voigt rule of mixtures (VRM) and Mori-Tanaka homogenization method (MTM). Numerical results for a variety of functionally graded plates with different aspect ratio are given and compared.

Finite Element Analysis of Human Tibia Modeled as a Functionally Graded Material

2019 ◽  
Vol 2 (3) ◽  
Author(s):  
Ashish Tiwari ◽  
Pankaj Wahi ◽  
Niraj Sinha
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Stress Distribution ◽  
Functionally Graded Material ◽  
Material Properties ◽  
Functionally Graded ◽  
Element Analysis ◽  
Cross Sectional ◽  
Human Tibia ◽  
Graded Material

Human tibia, the second largest bone in human body, is made of complex biological material having inhomogeneity and anisotropy in such a manner that makes it a functionally graded material. While analyses of human tibia assuming it to be made of different material regions have been attempted in past, functionally graded nature of the bone in the mechanical analysis has not been considered. This study highlights the importance of functional grading of material properties in capturing the correct stress distribution from the finite element analysis (FEA) of human tibia under static loading. Isotropic and orthotropic material properties of different regions of human tibia have been graded functionally in three different manners and assigned to the tibia model. The nonfunctionally graded and functionally graded models of tibia have been compared with each other. It was observed that the model in which functional grading was not performed, uneven distribution and unrealistic spikes of stresses occurred at the interfaces of different material regions. On the contrary, the models with functional grading were free from this potential artifact. Hence, our analysis suggests that functional grading is essential for predicting the actual distribution of stresses in the entire bone, which is important for biomechanical analysis. We find that orthotropic nature of the bone tends to increase the maximum von Mises stress in the entire tibia, while inclusion of cross-sectional inhomogeneity typically increases the stresses across normal cross section. Accordingly, our analysis suggests that both orthotropy as well as cross-sectional inhomogeneity should be included to correctly capture the stress distribution in the bone.

Sign in / Sign up

Export Citation Format

Share Document