Determination of Optimal Shot Peen Forming Patterns Using the Theory of Non-Euclidean Plates

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...

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Main Authors: Sushitskii, Vladislav, van Rees, Wim M., Levesque, Martin, Gosselin, Frederick P.
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:English
Published: ASME International 2024
Online Access:https://hdl.handle.net/1721.1/154912
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author Sushitskii, Vladislav
van Rees, Wim M.
Levesque, Martin
Gosselin, Frederick P.
author2 Massachusetts Institute of Technology. Department of Mechanical Engineering
author_facet Massachusetts Institute of Technology. Department of Mechanical Engineering
Sushitskii, Vladislav
van Rees, Wim M.
Levesque, Martin
Gosselin, Frederick P.
author_sort Sushitskii, Vladislav
collection MIT
description 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.
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spelling mit-1721.1/1549122025-01-06T04:17:54Z Determination of Optimal Shot Peen Forming Patterns Using the Theory of Non-Euclidean Plates Sushitskii, Vladislav van Rees, Wim M. Levesque, Martin Gosselin, Frederick P. Massachusetts Institute of Technology. Department of Mechanical Engineering 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. 2024-05-10T16:10:13Z 2024-05-10T16:10:13Z 2022-12-02 2024-05-10T16:06:39Z Article http://purl.org/eprint/type/JournalArticle 1087-1357 1528-8935 https://hdl.handle.net/1721.1/154912 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. en 10.1115/1.4056072 Journal of Manufacturing Science and Engineering Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf ASME International ASME International
spellingShingle Sushitskii, Vladislav
van Rees, Wim M.
Levesque, Martin
Gosselin, Frederick P.
Determination of Optimal Shot Peen Forming Patterns Using the Theory of Non-Euclidean Plates
title Determination of Optimal Shot Peen Forming Patterns Using the Theory of Non-Euclidean Plates
title_full Determination of Optimal Shot Peen Forming Patterns Using the Theory of Non-Euclidean Plates
title_fullStr Determination of Optimal Shot Peen Forming Patterns Using the Theory of Non-Euclidean Plates
title_full_unstemmed Determination of Optimal Shot Peen Forming Patterns Using the Theory of Non-Euclidean Plates
title_short Determination of Optimal Shot Peen Forming Patterns Using the Theory of Non-Euclidean Plates
title_sort determination of optimal shot peen forming patterns using the theory of non euclidean plates
url https://hdl.handle.net/1721.1/154912
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