The axisymmetric partial slip contact problem of a graded coating

Liu, Tiejun; Wang, Yue-Sheng; Xing, Yongming

doi:10.1007/s11012-012-9547-0

Cited by 33 publications

(19 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Similarly, Ke and Wang 21,22 and Ke et al 23 proposed a linear multilayered half-plane model to investigate the frictional contact response of FGM-coated halfspace in contact with circular, flat or triangular rigid indenters. Liu and Wang 24,25 solved the axisymmetric frictionless contact problem of an FGM-coated halfspace indented by a rigid punch, considering an arbitrarily varying shear modulus of the coating, which was modeled using a series of linear functions of the thickness. By employing the transfer matrix method and Hankel integral transform technique, the indentation problem was reduced to a set of Cauchy SIEs.…”

Section: Introductionmentioning

confidence: 99%

Modeling and analysis of the nonlinear indentation problems of functionally graded elastic layered solids

Attia

El-Shafei

2019

Proceedings of the Institution of Mechanical Engineers, Part J:

View full text Add to dashboard Cite

In tribological and thermo-electro-mechanical applications with an appropriate gradation of properties, functionally graded materials provide superior performance for damage and wear resistance of contact systems and thermal and mechanical responses for other mechanical devices. This paper presents a nonlinear mixed variational-based computational model for the analysis of nonlinear plane indentation problems of elastic functionally graded layered elastic solids. The functionally graded elastic layer is perfectly bonded to the elastic substrate and is normally loaded by a cylindrical rigid punch. In addition to nonlinearity inherent to the contact problem, the developed model accounts for the geometric nonlinearity in the sense of larger displacements and rotations, but smaller strains. The modulus of elasticity as well as Poisson's ratio of the graded layer are varying along the thickness of the layer according to both exponential and power laws. On the contrary, in the conventional homogeneous finite element formulation the isoparametric graded finite element formulation is adopted on the level of Gaussian integration points to realize the gradation in material properties. The friction at the contact interface is modeled using Coulomb's friction law. Moreover, the inequality contact constraints are exactly satisfied throughout the contact interface by employing the Lagrange multiplier method, where the indentation force and the displacement fields are treated as independent variables. The obtained results of contact pressure, tangential contact stress, stress distribution, and indentation force show a significant influence of the material distribution, gradation law, gradient index, and thickness of the functionally graded layer.

show abstract

Section: Introductionmentioning

confidence: 99%

Modeling and analysis of the nonlinear indentation problems of functionally graded elastic layered solids

Attia

El-Shafei

2019

Proceedings of the Institution of Mechanical Engineers, Part J:

View full text Add to dashboard Cite

show abstract

“… (i) Making variation in composition with distance, e.g. variation in reinforced particle distribution, 45 variation in composition in alloy/solid solutions, 44,46 etc. (ii) Making directional microstructural changes by applying controlled heat treatment, 47 shot peening, ion implantation, 48 irradiation, 49 etc. (iii) For micro and nano-crystalline materials, implementing grain size variation is considered to be the most effective way for creating yield strength gradation by the virtue of the Hall–Petch 50–52 relationship. According to the Hall–Petch relationship, above a certain breakdown point (average grain size of 15 nm), yield strength is generally found to increase with decreasing average grain size because of additional obstacles to dislocation motion by the grain boundaries. …”

Section: Introductionmentioning

confidence: 99%

“…(ii) Making directional microstructural changes by applying controlled heat treatment, 47 shot peening, ion implantation, 48 irradiation, 49 etc.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of elastically and plastically graded spherical and cylindrical contact

Jana

Mitra

Sahoo

2019

Proceedings of the Institution of Mechanical Engineers, Part J:

View full text Add to dashboard Cite

A dynamic analysis of a hemispherical and cylindrical contact, material properties of which are graded elastically and plastically along the radius, is presented. The static force–displacement behavior of a hemisphere and a semi-cylinder in contact with a rigid flat is obtained using finite element software. The force–displacement is used in a further dynamic analysis for undamped-free as well as for forced-damped vibration of the contact interface. For the undamped free vibration, variation of natural frequency w.r.t. initial displacement is furnished for different values of elastic and plastic gradation parameter. In addition, variation of maximum initial displacement for contact loss is also demonstrated. The forced-damped vibration characteristics of the spherical and cylindrical contact interfaces are presented in the form of frequency response curves with jump up and jump down frequencies. Spherical and cylindrical contact interfaces are found to exhibit softening and hardening type nonlinearity, respectively.

show abstract

“…Wang et al [18][19] applied the piecewise multi-layer model to simulate the FGMs with arbitrarily varying properties ，but the linear multi-layer model included the discontinuities of the material properties at the sub-interfaces. Ke and Wang [20][21][22] [23][24][25] extended this model to solve three dimensional axisymmetric contact problem of FGMs. Recently, two dimensional interfacial stress fields for a coating-graded layer-substrate structure under a rigid cylindrical punch by using the linear multi-layered model is investigated by Yang and Ke [26].…”

Section: Introductionmentioning

confidence: 99%

Stress analysis for bonded materials with a graded interfacial layer under a rigid punch

Liu

Xing

2016

Mechanics of Advanced Materials and Structures

Self Cite

View full text Add to dashboard Cite

It is well known that functionally graded materials can be used to eliminate the stress discontinuity that is often encountered in multi-layer composites. In this article, the stress analysis for the coating-functionally graded interfacial layer-substrate structure under a rigid spherical punch is investigated. A linear multi-layer model is used to model the graded interfacial layer with arbitrary varying materials properties along the thickness direction. The spherical indentation problem is formulated in terms of a singular integrate equation with the method of Transfer matrix and Hankel integral transform technique. The stress components in the coating-graded interfacial layer-substrate structure are calculated by solving the equation numerically. The results show that stiffens ratio and the gradient index of the graded interfacial layer has a significant effect on the distribution of stress components.

show abstract

The axisymmetric partial slip contact problem of a graded coating

Cited by 33 publications

References 32 publications

Modeling and analysis of the nonlinear indentation problems of functionally graded elastic layered solids

Modeling and analysis of the nonlinear indentation problems of functionally graded elastic layered solids

Dynamic analysis of elastically and plastically graded spherical and cylindrical contact

Stress analysis for bonded materials with a graded interfacial layer under a rigid punch

Contact Info

Product

Resources

About