Abstract
A two-parametric geometry optimization problem for a symmetrical punch with compound curvature in frictionless contact with and an elastic half-plane is considered. An almost constant pressure distribution is sought for by means of least-square method. Another sub-optimal solution, which equalizes the three local maximum peaks (one at the center, and two at either side of the contact interval), is constructed using an asymptotic modeling approach and compared with the exact solution known in the literature.
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This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIT) (No. NRF-2017M2B2A9072449).
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Argatov, I.I., Chai, Y.S. A note on optimal design of contact geometry in fretting wear. Int J Mech Mater Des 16, 415–422 (2020). https://doi.org/10.1007/s10999-019-09467-9
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DOI: https://doi.org/10.1007/s10999-019-09467-9