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Analysis of Contact Mechanics for Flat Stamps on Graded Coatings Using Shifted Legendre Polynomials of the First Kind.

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Last updated: 29 Dec 2024

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Abstract

This study investigates the contact mechanics of graded coatings, focusing specifically on the early fracture behavior of these materials under rigid flat stamp sliding contact loading. The problem is formulated as a weakly singular Fredholm integral equation of the second kind, in this paper we will utilize shifted Legendre polynomials of the first kind in a matrix-vector format to approximate this integral. The singularity in the kernel is addressed analytically to facilitate the analysis [1].

The primary objective of this research is to derive analytical benchmark solutions that allow us to explore the influence of numerous factors, such as material inhomogeneity constants, the coefficient of friction, and characteristic length parameters, on the critical stresses that may impact the fatigue and fracture behavior of the coatings so The branch on integral equations is one of the most important bases for addressing initial, boundary, and mixed value problems. This is because it may convert any of these problems into a boundary integral equation

DOI

10.21608/jcsit.2024.333833.1013

Keywords

The Contact Mechanics of a Flat Stamp Graded Coatings, Fredholm integral equations, Legendre Polynomials

Authors

First Name

Sara

Last Name

Mekkyy

MiddleName

Abdelhamed

Affiliation

Teaching assistant at Basic and Applied Sciences Department, faculty of Engineering and Technology, Arab Academy for Science and Technology and Maritime Transport (AASTMT), Aswan, Egypt

Email

sarad01292@m-eng.helwan.edu.eg

City

-

Orcid

-

First Name

Ahmed

Last Name

Sayed

MiddleName

Yehia

Affiliation

Physics and Engineering Mathematics Department, Faculty of Engineering at Mataria, Helwan University, Cairo, Egypt.

Email

ahmed_badr@m-eng.helwan.edu.eg

City

Cairo

Orcid

0000-0001-5691-4993

First Name

Emil

Last Name

Shoukralla

MiddleName

Sobhi

Affiliation

Faculty of Electronic Engineering, Menofia University, Egypt

Email

shoukralla@el-eng.menofia.edu.eg

City

Cairo

Orcid

-

First Name

Alfaisal

Last Name

Hasan

MiddleName

Abd Elhameed

Affiliation

Basic and Applied Sciences Department, College of Engineering and Technology, Arab Academy for Science, Technology and Maritime Transport (AASTMT), Aswan, Egypt

Email

alfaisal772001@aast.edu

City

Aswan

Orcid

-

First Name

Nermin

Last Name

Saber

MiddleName

Abd Elsatar

Affiliation

Faculty of Energy and Environmental Engineering, British University in Egypt.

Email

nermin.saber@bue.edu.eg

City

Cairo

Orcid

-

Volume

6

Article Issue

1

Related Issue

51970

Issue Date

2024-12-01

Receive Date

2024-11-04

Publish Date

2024-12-01

Page Start

1

Page End

10

Print ISSN

2812-5630

Online ISSN

2812-5649

Article File

JCSIT_Volume 6_Issue 1_Pages 1-10.pdf

PDF . 2.9MB

Link

https://jcsit.journals.ekb.eg/article_396099.html

Detail API

https://jcsit.journals.ekb.eg/service?article_code=396099

Order

396,099

Type

Original Article

Type Code

2,819

Publication Type

Journal

Publication Title

Journal of Communication Sciences and Information Technology

Publication Link

https://jcsit.journals.ekb.eg/

MainTitle

Analysis of Contact Mechanics for Flat Stamps on Graded Coatings Using Shifted Legendre Polynomials of the First Kind.

Details

Type

Article

Created At

20 Dec 2024