Numerical Modeling of Functionally Graded Coatings

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.

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

Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rsta.2007.2194 ◽

2008 ◽

Vol 366 (1871) ◽

pp. 1821-1826 ◽

Cited By ~ 15

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.

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Wear of Functionally Graded Coatings under Frictional Heating Conditions

Nanomaterials ◽

10.3390/nano12010142 ◽

2021 ◽

Vol 12 (1) ◽

pp. 142

Author(s):

Vladimir B. Zelentsov ◽

Polina A. Lapina ◽

Boris I. Mitrin

Keyword(s):

Laplace Transform ◽

Functionally Graded Material ◽

Functionally Graded ◽

Sliding Contact ◽

Inverse Laplace Transform ◽

Thermoelastic Instability ◽

Graded Coatings ◽

Graded Material ◽

Unstable Solutions ◽

Functionally Graded Coatings

Multilayered and functionally graded coatings are extensively used for protection against wear of the working surfaces of mechanisms and machines subjected to sliding contact. The paper considers the problem of wear of a strip made of a functionally graded material, taking into account the heating of the sliding contact from friction. Wear is modeled by a moving strip along the surface of a hard abrasive in the form of a half-plane. With the help of the integral Laplace transform with respect to time, the solutions are constructed as convolutions from the law of the introduction of an abrasive into the strip and the original in the form of a contour integral of the inverse Laplace transform. The study of the integrands of contour quadratures in the complex plane allowed determination of the regions of stable solutions to the problem. Unstable solutions of the problem lead to the concept of thermoelastic instability of the contact with friction and formed regions of unstable solutions. The solutions obtained made it possible to determine a formula for the coefficient of functionally graded inhomogeneity of the coating material and to study its effect on the occurrence of thermoelastic instability of the contact taking friction into account, as well as on its main characteristics: temperature, displacement, stress and wear of the functionally graded material of the coating. The effects of the abrasive speed, contact stresses and temperature on wear of the coating with the functionally graded inhomogeneity of the material by the depth were investigated.

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

Indian Journal of Materials Science ◽

10.1155/2013/206239 ◽

2013 ◽

Vol 2013 ◽

pp. 1-7 ◽

Cited By ~ 4

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.

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