Continuous contact problem of a functionally graded layer resting on an elastic half-plane
Küçük Resim Yok
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Polish Academy of Sciences
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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. Copyright © 2017 by IPPT PAN.
Açıklama
Anahtar Kelimeler
Contact problem, Functionally graded layer, Initial separation distance, Initial separation load, Singular integral equation, Contact problem, Functionally graded layer, Initial separation distance, Initial separation load, Singular integral equation
Kaynak
Archives of Mechanics
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
69
Sayı
1
