Contact behavior of functionally graded fractal surface

Jana, Tamonash; Mitra, Anirban; Sahoo, Prasanta

doi:10.1177/1464420720942251

Cited by 4 publications

(3 citation statements)

References 62 publications

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“…It is interesting to note that the authors confirmed that the use of a suitable gradient of Young's modulus could overcome the contact damage occurring in several tribology applications. For example, one can avoid conical cracking in Hertzian indentation [14], improving the wear resistance [15]. Zhang et al [16] demonstrated that the gradient of Young's modulus, loading condition and the geometry of the FG structure have a direct impact on the crack propagation and shape in FGM coatings.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Formulation and Numerical Simulation of the Mechanical Behavior of Ceramic/Metal (TiB/Ti) FG Sheets Subjected to Spherical Indenter

Kessentini,

Allouch,

Jrad

et al. 2024

Mathematics

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The main motivation for the present work is to provide an improved description of the response of Functionally Graded (FG) structures under a spherical indenter, considering material nonlinearities. This is achieved through the implementation of elastoplastic material behavior using integration points to avoid the division of the structure into multiple layers. The current paper proposes a numerical investigation into the mechanical response of functionally graded materials (FGMs) in contact with a rigid hemispherical head indenter. The numerical model considers both the Mori–Tanaka model and self-consistent formulas of Suquet to accurately model the smooth variation of material properties through the thickness of the elastoplastic FG material. The model execution involves a UMAT user material subroutine to implement the material behavior into ABAQUS/Standard. The user material UMAT subroutine is employed to introduce material properties based on the integration points, allowing for an accurate representation and analysis of the material’s behavior within the simulation. The developed numerical model is validated through a comparison with experimental results from the literature, showing a good correlation that proves the efficiency of the proposed model. Then, a parametric study is conducted to analyze the effect of the indenter dimension, the indentation depth and the gradient index on the indentation force, the contact pressure evolution, von Mises equivalent stress and equivalent plastic strain distributions located on the vicinity of the contact zone. The results showed that the elastoplastic response of TiB/Ti FG plates is significantly influenced by the gradient index, which determines the properties of the FG composite through the thickness. These results may help development engineers choose the optimal gradation for each industrial application in order to avoid contact damage.

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Section: Introductionmentioning

confidence: 99%

Mathematical Formulation and Numerical Simulation of the Mechanical Behavior of Ceramic/Metal (TiB/Ti) FG Sheets Subjected to Spherical Indenter

Kessentini,

Allouch,

Jrad

et al. 2024

Mathematics

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“…From a microscopic point of view, the main models used to research rough surface contact problems are finite element models, statistical models, and fractal theory models. The finite element models use numerical algorithms to obtain directly the contact stress field on the rough surface and the relationship between the actual contact area and the normal contact load [4][5][6][7]. However, the elastoplastic character of contact between different materials or rough surfaces with larger sample length makes modeling challenging and increases computational cost.…”

Section: Introductionmentioning

confidence: 99%

A Three-Dimensional Fractal Contact Model for a Rough Friction Surface With Multiple-Scale Asperities

Liang

Bian

Liu

2021

Preprint

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This paper describes a new fractal contact model for a rough three-dimensional friction surface considering scale dependence. The model predicts the total contact area as a function of contact load. The microcontact fractal model for asperities at multiple-scale levels is derived. The truncated area distribution function of asperities at multiple-scale levels is revised. The effects of each scale level and fractal parameters on the proposed model are evaluated by numerical simulations. Results obtained from the complex fractal model with several scales are accurate as demonstrated by comparing them to experimental results and models taken from literature. Friction and wear of rough surfaces can be further studied using the proposed model.

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“…[47][48][49] Most works on functionally graded contact cover the indentation of flat functionally graded substrate or coating. Though an ample number of research have been carried out on functionally graded contact, only a few recent works [50][51][52][53] have taken roughness into consideration in the analyses. However, a detailed analysis of the graded fractal rough surface has not been attempted yet as per the best of the authors' knowledge.…”

Section: Introductionmentioning

confidence: 99%

Loading–unloading contact analysis of a fractal rough surface with functional gradation

Jana

Mitra

Sahoo

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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The present paper deals with a finite-element-based static loading–unloading analysis of a functionally graded rough surface contact with fractal characteristics. Two different gradation models, namely elastic and plastic gradations, are adopted. In these models, one out of yield strength and Young's modulus is varied spatially according to exponential functions, while the other is kept constant. In both these material models, separate inhomogeneity parameters control the variation of material properties. The gradation is such that throughout the top of the rough surface properties remain constant with variations in the depth direction being controlled by the above-mentioned parameters. Different fractal surfaces with different levels of roughness (governed by the values of fractal dimension and fractal roughness) have been analysed. The influence of the gradation parameters on the contact properties, viz. contact force, contact area, contact stress, etc., are investigated for both loading and unloading phases. It was found that for most of the loading phase, higher elastic, as well as plastic gradation parameter, causes higher contact force and contact area. However, in the case of the unloading of elastically graded surfaces, this trend is not maintained throughout. For the cases, where a substantial amount of yielding takes place during loading near the contact surface, the resulting contact area is found to be higher for the unloading phase in comparison with the same during the loading phase. The trend of plastic yielding at the vicinity of the contact surface is studied for varying gradation parameters. It is observed that the higher volume of yielded material is obtained for the higher value of elastic gradation parameter. On the other hand, the higher value of plastic gradation parameter causes more yielding to take place at the vicinity of the contact surface. Additionally, the effect of gradation on the energy dissipation due to plasticity after complete unloading is explored in detail.

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Contact behavior of functionally graded fractal surface

Cited by 4 publications

References 62 publications

Mathematical Formulation and Numerical Simulation of the Mechanical Behavior of Ceramic/Metal (TiB/Ti) FG Sheets Subjected to Spherical Indenter

Mathematical Formulation and Numerical Simulation of the Mechanical Behavior of Ceramic/Metal (TiB/Ti) FG Sheets Subjected to Spherical Indenter

A Three-Dimensional Fractal Contact Model for a Rough Friction Surface With Multiple-Scale Asperities

Loading–unloading contact analysis of a fractal rough surface with functional gradation

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