Exact expressions of the uniaxial perfectly elasto-plastic stress wave and induced mechanical fields in the case of a finite impact: application to laser shock peening
This paper aims at providing exact expressions for the mechanical fields induced by Laser Shock Peening and comparing them to their numerical estimations. We use a uniaxial strain field hypothesis with an elastic perfectly plastic behavior to derive the stress wave equation. An exact solution to thi...
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Académie des sciences
2023-12-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.227/ |
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| author | Lapostolle, Lucas Morin, Léo Derrien, Katell Berthe, Laurent Castelnau, Olivier |
| author_facet | Lapostolle, Lucas Morin, Léo Derrien, Katell Berthe, Laurent Castelnau, Olivier |
| author_sort | Lapostolle, Lucas |
| collection | DOAJ |
| description | This paper aims at providing exact expressions for the mechanical fields induced by Laser Shock Peening and comparing them to their numerical estimations. We use a uniaxial strain field hypothesis with an elastic perfectly plastic behavior to derive the stress wave equation. An exact solution to this equation is given using the method of characteristics for a step time profile for the pressure loading, and numerically using finite differences schemes adapted for this hyperbolic equation. An additional residual stress modeling is used, providing the residual stress distribution assuming a planar infinite plate with a finite thickness. Results are presented for three loading pressures, each one corresponding to a different structure in the exact solution. The exact and numerical results present a good match, allowing either the use of the exact solution for an initial estimation of the mechanical fields, or to test the accuracy of other numerical methods. |
| format | Article |
| id | doaj-art-505631f0669942b3978ebfc4bf5a3b9a |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-505631f0669942b3978ebfc4bf5a3b9a2025-02-07T13:47:15ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-12-01351G245948410.5802/crmeca.22710.5802/crmeca.227Exact expressions of the uniaxial perfectly elasto-plastic stress wave and induced mechanical fields in the case of a finite impact: application to laser shock peeningLapostolle, Lucas0https://orcid.org/0000-0002-1511-9421Morin, Léo1https://orcid.org/0000-0002-6694-1212Derrien, Katell2https://orcid.org/0000-0002-3564-2586Berthe, Laurent3https://orcid.org/0000-0002-9978-9843Castelnau, Olivier4https://orcid.org/0000-0001-7422-294XPIMM, Arts et Metiers Institute of Technology, CNRS, Cnam, HESAM University, 151 boulevard de l’Hopital, 75013, Paris, FranceUniversity of Bordeaux, CNRS, Arts et metiers Institute of Technology, Bordeaux INP, I2M, Bordeaux, F-33400, Talence, FrancePIMM, Arts et Metiers Institute of Technology, CNRS, Cnam, HESAM University, 151 boulevard de l’Hopital, 75013, Paris, FrancePIMM, Arts et Metiers Institute of Technology, CNRS, Cnam, HESAM University, 151 boulevard de l’Hopital, 75013, Paris, FrancePIMM, Arts et Metiers Institute of Technology, CNRS, Cnam, HESAM University, 151 boulevard de l’Hopital, 75013, Paris, FranceThis paper aims at providing exact expressions for the mechanical fields induced by Laser Shock Peening and comparing them to their numerical estimations. We use a uniaxial strain field hypothesis with an elastic perfectly plastic behavior to derive the stress wave equation. An exact solution to this equation is given using the method of characteristics for a step time profile for the pressure loading, and numerically using finite differences schemes adapted for this hyperbolic equation. An additional residual stress modeling is used, providing the residual stress distribution assuming a planar infinite plate with a finite thickness. Results are presented for three loading pressures, each one corresponding to a different structure in the exact solution. The exact and numerical results present a good match, allowing either the use of the exact solution for an initial estimation of the mechanical fields, or to test the accuracy of other numerical methods.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.227/Laser shock peeningElastic-plastic wave propagationNumerical simulationAnalytical solutionPlastic strainsResidual stresses |
| spellingShingle | Lapostolle, Lucas Morin, Léo Derrien, Katell Berthe, Laurent Castelnau, Olivier Exact expressions of the uniaxial perfectly elasto-plastic stress wave and induced mechanical fields in the case of a finite impact: application to laser shock peening Comptes Rendus. Mécanique Laser shock peening Elastic-plastic wave propagation Numerical simulation Analytical solution Plastic strains Residual stresses |
| title | Exact expressions of the uniaxial perfectly elasto-plastic stress wave and induced mechanical fields in the case of a finite impact: application to laser shock peening |
| title_full | Exact expressions of the uniaxial perfectly elasto-plastic stress wave and induced mechanical fields in the case of a finite impact: application to laser shock peening |
| title_fullStr | Exact expressions of the uniaxial perfectly elasto-plastic stress wave and induced mechanical fields in the case of a finite impact: application to laser shock peening |
| title_full_unstemmed | Exact expressions of the uniaxial perfectly elasto-plastic stress wave and induced mechanical fields in the case of a finite impact: application to laser shock peening |
| title_short | Exact expressions of the uniaxial perfectly elasto-plastic stress wave and induced mechanical fields in the case of a finite impact: application to laser shock peening |
| title_sort | exact expressions of the uniaxial perfectly elasto plastic stress wave and induced mechanical fields in the case of a finite impact application to laser shock peening |
| topic | Laser shock peening Elastic-plastic wave propagation Numerical simulation Analytical solution Plastic strains Residual stresses |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.227/ |
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