Fundamental Solutions of a Normal Force in Semi-Infinite Coating Materials Part II: Solution of Force Acting in the Interior of Substrate and at Interface

Abstract:

In this work, the spatial theoretical solutions of concentrated normal forces acting in the substrate and at the interface of semi-infinite coating materials have been deduced based on the image point method. The explicit solution is given in the series of the displacement functions corresponding to each image point. It is found that all displacement functions can be deduced by the order of the image point. Numerical analysis has been carried out to verify the theoretical deductions. It is found that the accurate enough theoretical solution can be obtained by only taking the displacement functions corresponding to the first several image points into account. The fundamental solutions for a concentrated force acting at interface of two bonded semi-infinite bodies is also deduced, which is necessary in the analysis of coating materials by using these theoretical solution as the fundamental solution.

• Periodical: Advanced Materials Research (Volumes 243-249)
• Pages: 5935-5940
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.243-249.5935
• Online since: May 2011
• Authors: Zhen Yang, Shi Qun Guo
• Keywords: Coating Material, Fundamental Solution, Image Point Method, Interface

References

[1] Y.Q. Li, J.Q. Xu and L.D. Fu: International Journal of Solids and Structures, Vol. 41(2004): pp.7075-7089

[2] Y.Q. Li and J.Q. Xu: Internation Journal of Solids and Structures, Vol. 44(2007): pp.3317-3327

[3] L. Rongved. Force interior to one of two jointed semi-infinite solids. in Proceedings of 2nd Midwestern Conference on Solid Mechanics, (1955)

[4] J. Dundurs and M. Hetenyi: ASME Journal of Applied Mechanics, Vol. 32(1965): pp.671-674

[5] N. Schwarzer and F. Richter: Surface and Coatings Technology, Vol. 114(1999): pp.292-304

[6] J.Q. Xu and Y. Mutoh: Journal of Elasticity, Vol. 73(2003): pp.147-164