Receding Contact Problem of Multi-Layered Elastic Structures Involving Functionally Graded Materials
This paper studies a receding contact problem of a functionally graded layer laminate pressed against a functionally graded coated homogeneous half-plane substrate by a rigid flat indenter. The shear modulus of the functionally graded materials with a constant Poisson’s ratio is modeled by an expone...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/12/3/354 |
| _version_ | 1797446859521785856 |
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| author | Jie Yan Cong Wang |
| author_facet | Jie Yan Cong Wang |
| author_sort | Jie Yan |
| collection | DOAJ |
| description | This paper studies a receding contact problem of a functionally graded layer laminate pressed against a functionally graded coated homogeneous half-plane substrate by a rigid flat indenter. The shear modulus of the functionally graded materials with a constant Poisson’s ratio is modeled by an exponential function which varies along the thickness direction. Both the governing equations and the boundary conditions of the receding contact problem are converted into a pair of singular integral equations using the Fourier integral transforms, which are numerically integrated by the Chebyshev–Gauss quadrature. The contact pressure and the contact size at both contact interfaces are eventually obtained iteratively, as developed from the steepest descent algorithm. Extensive parametric studies suggest that it is possible to regulate the contact pressure and contact size by constructing the top layer from a soft functionally graded material. |
| first_indexed | 2024-03-09T13:47:36Z |
| format | Article |
| id | doaj.art-e45490d92a8743bb8dc0d5bc2325ec8e |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-09T13:47:36Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj.art-e45490d92a8743bb8dc0d5bc2325ec8e2023-11-30T20:57:53ZengMDPI AGCrystals2073-43522022-03-0112335410.3390/cryst12030354Receding Contact Problem of Multi-Layered Elastic Structures Involving Functionally Graded MaterialsJie Yan0Cong Wang1Intelligent Policing Key Laboratory of Sichuan Province, Sichuan Police College, Luzhou 646000, ChinaIntelligent Policing Key Laboratory of Sichuan Province, Sichuan Police College, Luzhou 646000, ChinaThis paper studies a receding contact problem of a functionally graded layer laminate pressed against a functionally graded coated homogeneous half-plane substrate by a rigid flat indenter. The shear modulus of the functionally graded materials with a constant Poisson’s ratio is modeled by an exponential function which varies along the thickness direction. Both the governing equations and the boundary conditions of the receding contact problem are converted into a pair of singular integral equations using the Fourier integral transforms, which are numerically integrated by the Chebyshev–Gauss quadrature. The contact pressure and the contact size at both contact interfaces are eventually obtained iteratively, as developed from the steepest descent algorithm. Extensive parametric studies suggest that it is possible to regulate the contact pressure and contact size by constructing the top layer from a soft functionally graded material.https://www.mdpi.com/2073-4352/12/3/354receding contactfunctionally graded material (FGM)singular integral equation |
| spellingShingle | Jie Yan Cong Wang Receding Contact Problem of Multi-Layered Elastic Structures Involving Functionally Graded Materials Crystals receding contact functionally graded material (FGM) singular integral equation |
| title | Receding Contact Problem of Multi-Layered Elastic Structures Involving Functionally Graded Materials |
| title_full | Receding Contact Problem of Multi-Layered Elastic Structures Involving Functionally Graded Materials |
| title_fullStr | Receding Contact Problem of Multi-Layered Elastic Structures Involving Functionally Graded Materials |
| title_full_unstemmed | Receding Contact Problem of Multi-Layered Elastic Structures Involving Functionally Graded Materials |
| title_short | Receding Contact Problem of Multi-Layered Elastic Structures Involving Functionally Graded Materials |
| title_sort | receding contact problem of multi layered elastic structures involving functionally graded materials |
| topic | receding contact functionally graded material (FGM) singular integral equation |
| url | https://www.mdpi.com/2073-4352/12/3/354 |
| work_keys_str_mv | AT jieyan recedingcontactproblemofmultilayeredelasticstructuresinvolvingfunctionallygradedmaterials AT congwang recedingcontactproblemofmultilayeredelasticstructuresinvolvingfunctionallygradedmaterials |