The interaction stresses (pressure and shear stress) for (001) surface between a half-space consisting of a uniform material and a half-space with a spatially periodic material distribution have been derived based on the Lennard-Jones potential. The periodically distributed material property function is expanded as a complex Fourier series. The interaction pressures consist of non-fluctuation terms and fluctuation terms, while the shear stresses have only fluctuation terms. The interaction stresses for a distribution of two materials were then calculated as a typical example of a periodic material distribution. The basic characteristics of the interaction stresses are clarified.
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Theoretical Analyses of Surface Interaction Stresses Considering Two-Dimensional Periodic Material Distributions
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Matsuoka, H, Miyake, R, Maegawa, S, & Fukui, S. "Theoretical Analyses of Surface Interaction Stresses Considering Two-Dimensional Periodic Material Distributions." Proceedings of the ASME 2017 Conference on Information Storage and Processing Systems collocated with the ASME 2017 International Technical Conference and Exhibition on Packaging and Integration of Electronic and Photonic Microsystems. ASME 2017 Conference on Information Storage and Processing Systems. San Francisco, California, USA. August 29–30, 2017. V001T06A002. ASME. https://doi.org/10.1115/ISPS2017-5438
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