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A study on the
contact problem of a layer consisting of functionally graded
material (FGM) in the presence of body force
Gökhan Adıyaman, Erdal Öner, Murat Yaylacı and Ahmet Birinci |
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Vol. 18 (2023), No. 1, 125–141
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Abstract |
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One of the most important components of the early design process for layered systems is gaining a knowledge of the behavior of materials under varied contact situations. Functionally graded materials (FGMs) have grown in popularity in layered systems as a result of their numerous benefits, such as permitting the reduction of local stress concentrations and thermal stresses often experienced in traditional composites. This paper suggests an analytical approach to solving the continuous and discontinuous contact problems of a functionally graded (FG) layer subjected to a distributed load. Elasticity theory and integral transform methods provide the basis of the aforementioned analytical approach. The FG layer rests on a half-plane that is homogeneous, and there is no adhesion or bonding at the contact surface. For this problem, we assume an exponentially varying shear modulus and mass density in the FG layer. In the solution, the body force of the FG layer is considered. The problem is solved analytically by applying boundary conditions for both continuous and discontinuous contact cases. The presented results show the effects of load factor, amplitude of distributed load, inhomogeneity parameters, and interface material property mismatch on contact stress distributions, initial separation load (critical load), initial separation distance, starting and end point of separation, and separation interval. |
Keywords
contact stress, functionally graded layer, body force,
continuous contact, discontinuous contact
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Milestones
Received: 23 August 2022
Revised: 24 November 2022
Accepted: 3 December 2022
Published: 24 March 2023
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Authors |
| Gökhan Adıyaman | |
| Department of Civil
Engineering Karadeniz Technical University Faculty of Engineering, Department of Civil Engineering Trabzon Turkey |
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| Erdal Öner | |
| Department of Civil
Engineering Bayburt University Faculty of Engineering, Department of Civil Engineering Bayburt Turkey |
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| Murat Yaylacı | |
| Department of Civil
Engineering Recep Tayyip Erdogan University Faculty of Engineering and Architecture Rize Turkey |
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| Ahmet Birinci | |
| Department of Civil
Engineering Karadeniz Technical University Faculty of Engineering, Department of Civil Engineering Trabzon Turkey |
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| © 2023 MSP (Mathematical Sciences Publishers). |
