scholarly journals Stress and Strain Analysis of Functionally Graded Rectangular Plate with Exponentially Varying Properties

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Amin Hadi ◽  
Abbas Rastgoo ◽  
A. R. Daneshmehr ◽  
Farshad Ehsani
Keyword(s):  
Rectangular Plate ◽  
Three Dimensional ◽  
Strain Analysis ◽  
Functionally Graded ◽  
Stress And Strain ◽  
Governing Equations ◽  
Displacement Fields ◽  
Stress And Displacement Fields ◽  
Graded Material ◽  
Three Dimensional Elasticity

The bending of rectangular plate made of functionally graded material (FGM) is investigated by using three-dimensional elasticity theory. The governing equations obtained here are solved with static analysis considering the types of plates, which properties varying exponentially along direction. The value of Poisson’s ratio has been taken as a constant. The influence of different functionally graded variation on the stress and displacement fields was studied through a numerical example. The exact solution shows that the graded material properties have significant effects on the mechanical behavior of the plate.

Three-dimensional analysis of a functionally graded coating/substrate system of finite thickness

2008 ◽  
Vol 366 (1871) ◽  
pp. 1821-1826 ◽  
Author(s):  
M Kashtalyan ◽  
M Menshykova
Keyword(s):  
Finite Thickness ◽  
Three Dimensional ◽  
Thermomechanical Properties ◽  
Functionally Graded ◽  
Displacement Fields ◽  
Functionally Graded Coating ◽  
Graded Coating ◽  
Graded Material ◽  
Coating Type ◽  
Coating Design

The concept of functionally graded material (FGM) is currently actively explored in coating design for the purpose of eliminating the mismatch of thermomechanical properties at the interfaces and thus increasing the resistance of coatings to functional failure. In the present paper, three-dimensional elastic deformation of a functionally graded coating/substrate system of finite thickness subjected to mechanical loading is investigated. A comparative study of FGM versus homogeneous coating is conducted to examine the effect of the coating type on stress and displacement fields in the system.

scholarly journals Numerical Modeling of Functionally Graded Coatings

2013 ◽  
Vol 829 ◽  
pp. 327-331 ◽  
Author(s):  
Maryam Heidari ◽  
Maria Kashtalyan
Keyword(s):  
Finite Elements ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Contributing Factors ◽  
Displacement Fields ◽  
Graded Coatings ◽  
Graded Material ◽  
Heat Penetration ◽  
Functionally Graded Coatings ◽  
Coating Design

Coatings play an important role in a variety of engineering applications protecting metallic or ceramic substrates against oxidation, heat penetration, wear and corrosion. One of the contributing factors to structural or functional failure of coatings is a mismatch of material properties between the coating and substrate at the coating/substrate interface. The concept of Functionally Graded Material (FGM) is actively explored in coating design for the purpose of eliminating this mismatch and improving coating performance and integrity. This paper presents analysis of the mechanical behavior of functionally graded coatings using commercial finite elements software ABAQUS in which user implemented graded finite elements have been employed. The model is used to carry out a comparative study of three-dimensional stress and displacement fields in the coated plates with homogeneous and functionally graded coatings.

Three-dimensional elasticity problems for the prismatic bar

2006 ◽  
Vol 462 (2070) ◽  
pp. 1877-1896 ◽  
Author(s):  
J.R Barber
Keyword(s):  
Three Dimensional ◽  
Elastic Problem ◽  
Displacement Fields ◽  
Recursive Procedure ◽  
Axial Coordinate ◽  
Linear Elastic ◽  
Stress And Displacement Fields ◽  
Elasticity Problems ◽  
Finite Power ◽  
Three Dimensional Elasticity

A general solution is given to the three-dimensional linear elastic problem of a prismatic bar subjected to arbitrary tractions on its lateral surfaces, subject only to the restriction that they can be expanded as finite power series in the axial coordinate z . The solution is obtained by repeated differentiation of the tractions with respect to z , establishing a set of sub-problems . A recursive procedure is then developed for generating the solution to from that for . This procedure involves three steps: integration of the stress and displacement fields with respect to z , using an appropriate Papkovich–Neuber (P–N) representation; solution of two-dimensional in-plane and antiplane corrective problems for the tractions in that are independent of z ; and expression of these corrective solutions in P–N form. The method is illustrated by an example.

scholarly journals Partial-mixed special finite element for the analysis of multilayer composites and FGM

2012 ◽  
Author(s):  
Orlando Andrianarison ◽  
Ayech Benjeddou
Keyword(s):  
Finite Element ◽  
Three Dimensional ◽  
Hamiltonian Formalism ◽  
Single Layer ◽  
Static Problem ◽  
Functionally Graded ◽  
Elasticity Equations ◽  
Graded Material ◽  
Transverse Stresses ◽  
Three Dimensional Elasticity

A partial-mixed special finite element (FE) is proposed for the static analysis of multilayer composite and functionally graded material plates. Using the Hamiltonian formalism, the three-dimensional elasticity equations are first reformulated so that a partial-mixed variational formulation, retaining as primary variables the translational displacements augmented with the transverse stresses only, is obtained; this allows, in particular, a straightforward fulfilment of the multilayer interfaces continuity conditions. After an only in-plane FE discretisation, the static problem is then reduced, for a single layer, to a Hamiltonian eigenvalue problem that is solved analytically, through the layer thickness, using the symplectic formalism; the multilayer solution is finally reached via the state-space method and the propagator matrix concept. The performance, in convergence and accuracy, of the proposed approach, applied to representative examples, is shown to be very satisfactory.

Three-Dimensional Elasticity Solution of a Composite Beam

1967 ◽  
Vol 1 (2) ◽  
pp. 122-135 ◽  
Author(s):  
Staley F. Adams ◽  
M. Maiti ◽  
Richard E. Mark
Keyword(s):  
Three Dimensional ◽  
Solid Wood ◽  
Theory Of Elasticity ◽  
Orthotropic Materials ◽  
Stress And Strain ◽  
Cantilever Beams ◽  
Dimensional Theory ◽  
Reinforced Plastics ◽  
Three Dimensional Elasticity ◽  
Moduli Of Elasticity

This investigation was undertaken to develop a rigorous mathe matical solution of stress and strain for a composite pole con sisting of a reinforced plastics jacket laminated on a solid wood core. The wood and plastics are treated as orthotropic materials. The problem of bending of such poles as cantilever beams has been determined by the application of the principles of three- dimensional theory of elasticity. Values of all components of the stress tensor in cylindrical coordinates are given for the core and jacket. Exact values for the stresses have been obtained from computer results, using the basic elastic constants—Poisson's ratios, moduli of elasticity and moduli of rigidity—for each ma terial. A comparison of the numerical results of the exact solu tion with strength of materials solutions has been completed.

Three-dimensional buckling analyses of cracked functionally graded material plates via the MLS-Ritz method

2019 ◽  
Vol 134 ◽  
pp. 189-202 ◽  
Author(s):  
C.S. Huang ◽  
H.T. Lee ◽  
P.Y. Li ◽  
K.C. Hu ◽  
C.W. Lan ◽  
...  
Keyword(s):  
Functionally Graded Material ◽  
Ritz Method ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Graded Material

A refined quasi-3D shear deformation theory for thermo-mechanical behavior of functionally graded sandwich plates on elastic foundations

2017 ◽  
Vol 21 (6) ◽  
pp. 1906-1929 ◽  
Author(s):  
Abdelkader Mahmoudi ◽  
Samir Benyoucef ◽  
Abdelouahed Tounsi ◽  
Abdelkader Benachour ◽  
El Abbas Adda Bedia ◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Shear Deformation ◽  
Elastic Foundation ◽  
Deformation Theory ◽  
Three Dimensional ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Refined Theory ◽  
Governing Equations

In this paper, a refined quasi-three-dimensional shear deformation theory for thermo-mechanical analysis of functionally graded sandwich plates resting on a two-parameter (Pasternak model) elastic foundation is developed. Unlike the other higher-order theories the number of unknowns and governing equations of the present theory is only four against six or more unknown displacement functions used in the corresponding ones. Furthermore, this theory takes into account the stretching effect due to its quasi-three-dimensional nature. The boundary conditions in the top and bottoms surfaces of the sandwich functionally graded plate are satisfied and no correction factor is required. Various types of functionally graded material sandwich plates are considered. The governing equations and boundary conditions are derived using the principle of virtual displacements. Numerical examples, selected from the literature, are illustrated. A good agreement is obtained between numerical results of the refined theory and the reference solutions. A parametric study is presented to examine the effect of the material gradation and elastic foundation on the deflections and stresses of functionally graded sandwich plate resting on elastic foundation subjected to thermo-mechanical loading.

Sign in / Sign up

Export Citation Format

Share Document