scholarly journals Mechanics of non-slipping adhesive contact on a power-law graded elastic half-space

2011 ◽  
Vol 48 (18) ◽  
pp. 2565-2575 ◽  
Author(s):  
Xu Guo ◽  
Fan Jin ◽  
Huajian Gao
Keyword(s):  
Half Space ◽  
Power Law ◽  
Adhesive Contact ◽  
Elastic Half Space

A Unified Treatment of Axisymmetric Adhesive Contact on a Power-Law Graded Elastic Half-Space

2013 ◽  
Vol 80 (6) ◽  
Author(s):  
Fan Jin ◽  
Xu Guo ◽  
Wei Zhang
Keyword(s):  
Half Space ◽  
Power Law ◽  
Contact Region ◽  
Adhesive Contact ◽  
Elastic Half Space ◽  
Hertzian Contact ◽  
Contact Radius ◽  
Abel Transformation ◽  
Numerical Solution Methods ◽  
Special Cases

In the present paper, axisymmetric frictionless adhesive contact between a rigid punch and a power-law graded elastic half-space is analytically investigated with use of Betti's reciprocity theorem and the generalized Abel transformation, a set of general closed-form solutions are derived to the Hertzian contact and Johnson–Kendall–Roberts (JKR)-type adhesive contact problems for an arbitrary punch profile within a circular contact region. These solutions provide analytical expressions of the surface stress, deformation fields, and equilibrium relations among the applied load, indentation depth, and contact radius. Based on these results, we then examine the combined effects of material inhomogeneities and punch surface morphologies on the adhesion behaviors of the considered contact system. The analytical results obtained in this paper include the corresponding solutions for homogeneous isotropic materials and the Gibson soil as special cases and, therefore, can also serve as the benchmarks for checking the validity of the numerical solution methods.

scholarly journals Mechanics of adhesive contact on a power-law graded elastic half-space

2009 ◽  
Vol 57 (9) ◽  
pp. 1437-1448 ◽  
Author(s):  
Shaohua Chen ◽  
Cong Yan ◽  
Peng Zhang ◽  
Huajian Gao
Keyword(s):  
Half Space ◽  
Power Law ◽  
Adhesive Contact ◽  
Elastic Half Space

scholarly journals Boundary element method for nonadhesive and adhesive contacts of a coated elastic half-space

2019 ◽  
Vol 234 (1) ◽  
pp. 73-83 ◽  
Author(s):  
Qiang Li ◽  
Roman Pohrt ◽  
Iakov A Lyashenko ◽  
Valentin L Popov
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Half Space ◽  
Adhesive Contact ◽  
Elastic Half Space ◽  
Fourier Space ◽  
Numerical Tests ◽  
New Formulation ◽  
Adhesive Contacts ◽  
Element Method

We present a new formulation of the boundary element method for simulating the nonadhesive and adhesive contact between an indenter of arbitrary shape and an elastic half-space coated with an elastic layer of different material. We use the Fast Fourier Transform-based formulation of boundary element method, while the fundamental solution is determined directly in the Fourier space. Numerical tests are validated by comparison with available asymptotic analytical solutions for axisymmetric flat and spherical indenter shapes.

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