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Structural Engineering and Mechanics Volume 85, Number 5, March10 2023 , pages 621-633 DOI: https://doi.org/10.12989/sem.2023.85.5.621 |
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On the receding contact plane problem for bi-FGM-layers indented by a flat indenter |
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Cong Wang, Jie Yan and Rui Cao
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| Abstract | ||
| The major objective of this paper is to study the receding contact problem between two functional graded layers under a flat indenter. The gravity is assumed negligible, and the shear moduli of both layers are assumed to vary exponentially along the thickness direction. In the absence of body forces, the problem is reduced to a system of Fredholm singular integral equations with the contact pressure and contact size as unknowns via Fourier integral transform, which is transformed into an algebraic one by the Gauss–Chebyshev quadratures and polynomials of both the first and second kinds. Then, an iterative speediest descending algorithm is proposed to numerically solve the system of algebraic equations. Both semi-analytical and finite element method, FEM solutions for the presented problem validate each other. To improve the accuracy of the numerical result of FEM, a graded FEM solution is performed to simulate the FGM mechanical characteristics. The results reveal the potential links between the contact stress/size and the indenter size, the thickness, as well as some other material properties of FGM. | ||
| Key Words | ||
| finite element analysis; functionally graded material (FGM); receding contact; singular integral equation | ||
| Address | ||
| Cong Wang, Jie Yan: Intelligent Policing Key Laboratory of Sichuan Province, Sichuan Police College, Longtouguan Road No. 186 of Luzhou City, China Rui Cao: Jiangsu Key Laboratory of Engineering Mechanics, School of Civil Engineering, Southeast University, Sipailou Road No.2 of Nanjing City, China | ||