An elasto-plastic damage model for functionally graded plates with in-plane material properties variation: Material model and numerical implementation

2017 ◽  
Vol 163 ◽  
pp. 331-341 ◽  
Author(s):  
Maedeh Amirpour ◽  
Raj Das ◽  
Simon Bickerton
Keyword(s):  
Material Properties ◽  
Damage Model ◽  
Material Model ◽  
Functionally Graded ◽  
Numerical Implementation ◽  
Functionally Graded Plates ◽  
Plastic Damage

MODELING OF ALKALI-SILICA REACTION IN A TWO-PHASED MATERIAL MODEL

2015 ◽  
Vol 76 (9) ◽  
Author(s):  
Zarina Itam ◽  
Hazran Husain
Keyword(s):  
Material Properties ◽  
Mesoscale Model ◽  
Damage Model ◽  
Material Model ◽  
Silica Content ◽  
Alkali Silica Reaction ◽  
Complex Phenomenon ◽  
Damage Propagation ◽  
Element Technique ◽  
The Relationship

Alkali-silica reaction causes major problems in concrete structures due to the rapidity of its deformation. Factors that affect ASR include the alkali and silica content, relative humidity, temperature and porosity of the concrete, making the relationship a complex phenomenon to be understood. Hence, the finite element technique was used to build models to study the damage propagation due to ASR. Seeing that ASR initializes in the mesoscopic regions of the concrete, the damage model for ASR at the mesoscale level is studied. The heterogeneity of the mesoscale model shows how difference in material properties between aggregates and the cementitious matrix facilitates ASR expansion. With this model mesoscopic, two-phased material model, the ASR phenomenon under thermo-chemo-hygro-mechanical loading can be understood.

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.

Vibration analysis of axially moving line supported functionally graded plates with temperature-dependent properties

2013 ◽  
Vol 228 (6) ◽  
pp. 953-969 ◽  
Author(s):  
Hamed Asadi ◽  
Mohammad M Aghdam ◽  
Mahmoud Shakeri
Keyword(s):  
Dynamic Analysis ◽  
Material Properties ◽  
Vibration Analysis ◽  
Volume Fraction ◽  
Functionally Graded ◽  
Laminated Plates ◽  
Functionally Graded Plates ◽  
Temperature Dependent ◽  
Axially Moving ◽  
Temperature Dependent Properties

Vibration analysis of axially moving functionally graded plates with internal line supports and temperature-dependent properties is investigated using harmonic differential quadrature method. The plate is subjected to static in-plane forces while out-of-plane loading is dynamic. Stability of an axially moving plate, traveling at a constant velocity between different supports and experiencing small transverse vibrations are considered. The series of internal rigid line supports parallel to the plate edges are considered together with various arbitrary combinations of boundary conditions. Material properties of the plate are assumed temperature-dependent which is a non-linear function of temperature and differ continuously through thickness according to a power-law distribution of the volume fractions of the plate constituents. Two types of micromechanical models, namely, the Voigt and Mori–Tanaka models are considered. Based on the classical plate theory, the governing equations are obtained for functionally graded plate using the Hamilton’s principle. In the frame of a general dynamic analysis, it is shown that the onset of instability takes place in the form of divergence. The plate may experience divergence or flutter instability at a super critical velocity. Results for dynamic analysis of isotropic and laminated plates are validated with available data in the existing literature, which show excellent agreement. Furthermore, some new results are presented for vibration analysis of functionally graded material plates to study effects of the location of line supports, material properties, volume fraction, temperature, loading, aspect ratio and speed.

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.

scholarly journals Parametric Study on Vibration and Harmonic Analysis of Moderately Thick Functionally Graded Plates Using FEM

2018 ◽  
Vol 237 ◽  
pp. 01007
Author(s):  
Avadesh K. Sharma ◽  
M K Gaur ◽  
R K Dwivedi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Free Vibration ◽  
Harmonic Analysis ◽  
Material Properties ◽  
Functionally Graded ◽  
Thickness Direction ◽  
Functionally Graded Plates ◽  
Power Law Distribution ◽  
Finite Element Package

Finite element method is used to investigate the free vibration and harmonic analysis of functionally graded plates. The material properties of the plates are assumed to vary continuously through their thickness direction according to a power-law distribution of the volume fractions of the plate constituents. The four noded shell 181 elements are used to analyse the functionally graded plates. The aim is to fill the void in the available literature with respect to the free vibration results of Functionally Graded plates. Convergence and Comparison studies with respect to the number of nodes has been carried out using FEM. The natural frequency, mode shape and harmonic analysis of FG plate has been determined using finite element package ANSYS.

An Analytical Solution for Nonlinear Cylindrical Bending of Functionally Graded Plates

2006 ◽  
Author(s):  
H. M. Navazi ◽  
H. Haddadpour ◽  
M. Rasekh
Keyword(s):  
Material Properties ◽  
Plate Theory ◽  
Nonlinear Boundary Conditions ◽  
Solution Procedure ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Power Law Distribution ◽  
Equilibrium Equations ◽  
Cylindrical Bending ◽  
Linear Differential

In this paper, the nonlinear cylindrical bending of a functionally graded plate is studied. The material properties of the plate are assumed to be graded continuously in the direction of thickness. The variation of the material properties follows a simple power-law distribution in terms of the volume fractions of constituents. The von Karman strains are used to construct the nonlinear equilibrium equations of the plates subjected to in-plane and transverse loadings. The governing equations are reduced to linear differential equation with nonlinear boundary conditions yielding a simple solution procedure. The results show that the functionally graded plates exhibit different behavior from plates made of pure materials in cylindrical bending. Also, it is shown that the linear plate theory is inadequate for analysis of FG plate even in the small deflection range.

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