Determination of Optimal Shot Peen Forming Patterns Using the Theory of Non-Euclidean Plates
Author(s)
Sushitskii, Vladislav; van Rees, Wim M.; Levesque, Martin; Gosselin, Frederick P.
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We show how a theoretical framework developed for modeling nonuniform growth can model the shot peen forming process. Shot peen forming consists in bombarding a metal panel with multiple millimeter-sized shots that induce local bending of the panel. When applied to different areas of the panel, peen forming generates compound curvature profiles starting from a flat state. We present a theoretical approach and its practical realization for simulating peen forming numerically. To achieve this, we represent the panel undergoing peen forming as a bilayer plate, and we apply a geometry-based theory of non-Euclidean plates to describe its reconfiguration. Our programming code based on this approach solves two types of problems: it simulates the effect of a predefined treatment (the forward problem) and it finds the optimal treatment to achieve a predefined target shape (the inverse problem). Both problems admit using multiple peening regimes simultaneously. The algorithm was tested numerically on 200 randomly generated test cases.
Date issued
2022-12-02Department
Massachusetts Institute of Technology. Department of Mechanical EngineeringJournal
Journal of Manufacturing Science and Engineering
Publisher
ASME International
Citation
Sushitskii, V., van Rees, W. M., Levesque, M., and Gosselin, F. P. (December 2, 2022). "Determination of Optimal Shot Peen Forming Patterns Using the Theory of Non-Euclidean Plates." ASME. J. Manuf. Sci. Eng. March 2023; 145(3): 031006.
Version: Final published version
ISSN
1087-1357
1528-8935