Simplified analytical solution of the contact problem on indentation of a coated half-space by a spherical punch. (English) Zbl 1418.74028
Cheng, Alexander H.-D. (ed.) et al., Boundary elements and other mesh reduction methods XXXXI. Selected papers based on the presentations at the 41st international conference (BEM/MRM), New Forest, UK, September 11–13, 2018. Southampton: WIT Press. WIT Trans. Eng. Sci. 122, 209-221 (2019).
Summary: This paper is devoted to construction of a mathematical model combining simplicity for practical usage and high accuracy. It is based on the solution of an axisymmetric contact problem on penetration of a rigid indenter into an elastic half-space with a functionally graded or homogeneous coating. The problem is reduced to solution of a dual integral equation. Asymptotically exact expressions for indentation force, depth, contact stiffness and distribution of contact pressures are obtained in simplified analytical form using one-parameter approximation of the integral equation kernel transform. Numerical calculations are provided for a number of homogeneous and functionally graded coatings. Accuracy of the solution is analyzed against ratio of Young’s moduli of coating and substrate and the value of relative coating thickness.
For the entire collection see [Zbl 1410.65004].
For the entire collection see [Zbl 1410.65004].
MSC:
| 74M15 | Contact in solid mechanics |
| 65R10 | Numerical methods for integral transforms |
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
Keywords:
contact; penetration; spherical indenter; simple analytical solution; functionally graded coatingReferences:
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