A receding contact problem between a functionally graded layer and two homogeneous quarter planes
Özet
In this paper, the plane problem of a frictionless receding contact between an elastic functionally graded layer and two homogeneous quarter planes is considered when the graded layer is pressed against the quarter planes. The top of the layer is subjected to normal tractions over a finite segment. The graded layer is modeled as a non-homogeneous medium with a constant Poisson’s ratio and exponentially varying shear modules. The problem is converted into the solution of a Cauchy-type singular integral equation in which the contact pressure and the receding contact half-length are the unknowns using integral transforms. The singular integral equation is solved numerically using Gauss–Jacobi integration. The corresponding receding contact half-length that satisfies the global equilibrium condition is obtained using an iterative procedure. The effect of the material non-homogeneity parameter on the contact pressure and on the length of the receding contact is investigated. © 2016, Springer-Verlag Wien.
Kaynak
Acta MechanicaCilt
227Sayı
6Koleksiyonlar
İlgili Öğeler
Başlık, yazar, küratör ve konuya göre gösterilen ilgili öğeler.
-
Comparison between analytical and ANSYS calculations for a receding contact Problem
Yaylaci M.; Öner E.; Birinci A. (American Society of Civil Engineers (ASCE), 2014)This paper considers a receding contact problem for two elastic layers (with different elastic constants and heights) supported by two elastic quarter planes. The lower layer is supported by two elastic quarter planes, and ... -
Analytical solution of a contact problem and comparison with the results from FEM
Öner E.; Yaylaci M.; Birinci A. (Techno Press, 2015)This paper presents a comparative study of analytical method and finite element method (FEM) for analysis of a continuous contact problem. The problem consists of two elastic layers loaded by means of a rigid circular punch ... -
Continuous contact problem for two elastic layers resting on an elastic half-infinite plane
Öner E.; Birinci A. (Mathematical Sciences Publishers, 2014)The continuous contact problem for two elastic layers resting on an elastic half-infinite plane and loaded by means of a rigid stamp is presented. The elastic layers have different heights and elastic constants. An external ...