Kaya, Yusuf; Polat, Alper; Özşahin, Talat Şükrü

In this study, we solve the continuous contact problem of two layers with different material properties, loaded with two rigid flat blocks and resting on a rigid plane, by analytical and finite element methods. All surfaces are assumed to be frictionless. The upper layer is the functionally graded layer (FG), the height h1, the underlying layer is homogeneous, and the height is h2. It is assumed that the FG layer is isotropic and that the shear modulus and density change exponentially. The FG layer is loaded by means of two rigid flat blocks whose external loads are Q and P (per unit thickness in z direction). In the analytical solution of the problem, stress and displacement expressions are substituted in the boundary conditions and the problem is demoted to singular integral equations where the contact stresses are the unknown functions. These singular integral equations are solved numerically using the Gauss–Chebyshev integration formulas. Two-dimensional finite element analysis of the problem is performed using the ANSYS package program. The analyses are performed for different shear modulus ratios (μ2/μ-h1), distances between the blocks ((c − b)/h1) and inhomogeneity parameters (βh1). The contact stresses under the blocks, the normal stresses (σy) between interfaces of the FG layer and the homogeneous layer and between the homogeneous layer and rigid plane are also measured. In addition, the initial separation load and the initial separation distances (χcr, λcr) of the FG layer and homogeneous layer are determined. The results are presented comparatively as graphs and tables.

AtıfScopus18·WoS19·OpenAlex14

İncele

Polat, Alper; Kaya, Yusuf; Özşahin, Talat Şükrü

In this study, a comparative analysis of the continuous contact problem of a homogeneous layer loaded by two rigid flat blocks and resting on elastic half plane is investigated using the finite element method (FEM). The results obtained from the elasticity solution are compared with FEM solutions. Also in this problem, it is assumed that the all surfaces are frictionless. Two dimensional finite element analysis of the problem is carried out using ANSYS Mechanical APDL. The analyzes are performed for different loading conditions of Q and P loads. Initial separation load and initial separation points (xcr, λcr) and normal stresses (σy) between the homogenous layer and the elastic half plane are determined. The obtained results are shown in graphs and tables.

AtıfTR Dizin3

İncele

Polat, Alper; Kaya, Yusuf; Özşahin, Talat Şükrü

A continuous contact problem of functionally graded layer resting on an elastic semi-infinite plane, which is loaded with through two different blocks is addressed in this study. The elasticity theory and integral transformation techniques are used in solution of the problem. The problem is reduced to a system of singular integral equations, and solved numerically by the aid of appropriate Gauss–Chebyshev integration formula. It is assumed that the elastic semi-infinite homogeneous plane is isotropic and all surfaces are frictionless and continuous. The shear modulus and the mass density of the FG layer vary exponentially along the thickness direction.

AtıfScopus19·WoS18·OpenAlex15

İncele