Continuous contact problem of a functionally graded layer resting on an elastic half‐plane

• Autorzy: Öner E. , Adiyaman G. , Birinci A.
• Języki publikacji: EN

Abstrakty

EN

In this study, the continuous contact problem of a functionally graded layer resting on an elastic half-plane and loaded by a rigid rectangular stamp is examined. The problem is solved assuming that the functionally graded (FG) layer is isotropic and the shear modulus and mass density vary exponentially throughout the layer’s thickness. However, the body force of the elastic half-plane is neglected. In addition, it is assumed that all surfaces are frictionless and only compressive stress is transferred along the contact surfaces. The mathematical problem is reduced to a singular integral equation in which the contact stress under the rigid stamp is unknown using the Fourier integral transform and boundary conditions related to the problem. This singular integral equation is solved numerically using the Gauss–Chebyshev integration formula. The dimensionless contact stress under the rigid stamp, the initial separation loads and the initial separation distances between the FG layer and the elastic half-plane are obtained for various dimensionless quantities.

Słowa kluczowe

EN

functionally graded layer; contact problem; initial separation load; initial separation distance; singular integral equation

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2017
• Tom: Vol. 69, nr 1
• Strony: 53--73
• Opis fizyczny: Bibliogr. 34 poz., rys.

Twórcy

autor

Öner E.

• Department of Civil Engineering Bayburt University 69000 Bayburt, Turkey

autor

Adiyaman G.

• Department of Civil Engineering Karadeniz Technical University 61080 Trabzon, Turkey

autor

Birinci A.

• Department of Civil Engineering Karadeniz Technical University 61080 Trabzon, Turkey

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).