The Plane Symmetric Contact Problem for Dissimilar Elastic Semi-Infinite Strips of Different Widths

1977 ◽  
Vol 44 (4) ◽  
pp. 604-610 ◽  
Author(s):  
G. G. Adams ◽  
D. B. Bogy
Keyword(s):  
Boundary Condition ◽  
Integral Equations ◽  
Numerical Solutions ◽  
Mixed Boundary Condition ◽  
Mixed Boundary ◽  
Stress Singularity ◽  
Singular Integral Equations ◽  
Width Ratio ◽  
Elastic Materials ◽  
Plane Symmetric

The solution is obtained for both smooth and bonded contact between strips of different elastic materials and widths. First, the problems are reduced to singular integral equations which are unusual because of the mixed boundary condition on the end of the wider strip. With minor extensions of the usual methods the order of the stress singularity at the corners is extracted from the integral equations and numerical solutions are then obtained for various material combinations and width ratios. The results are compared to previous solutions in which the width ratio is either one or infinity.

The Plane Solution for the Elastic Contact Problem of a Semi-Infinite Strip and Half Plane

1976 ◽  
Vol 43 (4) ◽  
pp. 603-607 ◽  
Author(s):  
G. G. Adams ◽  
D. B. Bogy
Keyword(s):  
Integral Equations ◽  
Half Plane ◽  
Numerical Solutions ◽  
Stress Singularity ◽  
Singular Integral Equations ◽  
Infinite Strip ◽  
Elastic Contact ◽  
Shearing Stress ◽  
Elastic Materials ◽  
Plane Solution

The solution is obtained for both smooth and bonded contact between the strip and half plane of different elastic materials. First, the problems are reduced to singular integral equations of the second kind. Then the order of the stress singularity at the corners is extracted from the integral equations and numerical solutions are obtained. Interface normal and shearing stress are exhibited graphically for several material combinations.

Partial slip contact analysis for a monoclinic half plane

2020 ◽  
pp. 108128652096283
Author(s):  
İ Çömez ◽  
Y Alinia ◽  
MA Güler ◽  
S El-Borgi
Keyword(s):  
Integral Equations ◽  
Half Plane ◽  
Singular Integral ◽  
Integral Transform ◽  
Mixed Boundary ◽  
Normal Load ◽  
Fibrous Composite ◽  
Singular Integral Equations ◽  
Contact Stresses ◽  
Partial Slip

In this paper, the nonlinear partial slip contact problem between a monoclinic half plane and a rigid punch of an arbitrary profile subjected to a normal load is considered. Applying Fourier integral transform and the appropriate boundary conditions, the mixed-boundary value problem is reduced to a set of two coupled singular integral equations, with the unknowns being the contact stresses under the punch in addition to the stick zone size. The Gauss–Chebyshev discretization method is used to convert the singular integral equations into a set of nonlinear algebraic equations, which are solved with a suitable iterative algorithm to yield the lengths of the stick zone in addition to the contact pressures. Following a validation section, an extensive parametric study is performed to illustrate the effects of material anisotropy on the contact stresses and length of the stick zone for typical monoclinic fibrous composite materials.

Sign in / Sign up

Export Citation Format

Share Document