{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,24]],"date-time":"2026-03-24T03:17:00Z","timestamp":1774322220359,"version":"3.50.1"},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2024,1,5]],"date-time":"2024-01-05T00:00:00Z","timestamp":1704412800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,1,5]],"date-time":"2024-01-05T00:00:00Z","timestamp":1704412800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/100000015","name":"U.S. Department of Energy","doi-asserted-by":"crossref","award":["DE-AC05-76RL01830"],"award-info":[{"award-number":["DE-AC05-76RL01830"]}],"id":[{"id":"10.13039\/100000015","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Intell Manuf"],"published-print":{"date-parts":[[2025,2]]},"DOI":"10.1007\/s10845-023-02271-5","type":"journal-article","created":{"date-parts":[[2024,1,5]],"date-time":"2024-01-05T15:02:26Z","timestamp":1704466946000},"page":"1111-1121","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Neural lumped parameter differential equations with application in friction-stir processing"],"prefix":"10.1007","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2787-9054","authenticated-orcid":false,"given":"James","family":"Koch","sequence":"first","affiliation":[]},{"given":"WoongJo","family":"Choi","sequence":"additional","affiliation":[]},{"given":"Ethan","family":"King","sequence":"additional","affiliation":[]},{"given":"David","family":"Garcia","sequence":"additional","affiliation":[]},{"given":"Hrishikesh","family":"Das","sequence":"additional","affiliation":[]},{"given":"Tianhao","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Ken","family":"Ross","sequence":"additional","affiliation":[]},{"given":"Keerti","family":"Kappagantula","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,1,5]]},"reference":[{"key":"2271_CR1","doi-asserted-by":"crossref","unstructured":"Ambrosio, D., Wagner, V., Dessein, G., Vivas, J., & Cahuc, O. (2023). Machine learning tools for flow-related defects detection in friction stir welding. Journal of Manufacturing Science and Engineering 1\u201315.","DOI":"10.1115\/1.4062457"},{"key":"2271_CR2","doi-asserted-by":"crossref","unstructured":"Balachandar, K., Arockiaraj, K.\u00a0S., Sriraman, G., Jegadeeshwaran, R., Sakthivel, G., & Lakshmipathi, J. (2023). Development of a machine learning model to predict the friction stir welding tool condition. |textitMaterials Today: Proceedings.","DOI":"10.1016\/j.matpr.2023.05.400"},{"issue":"3","key":"2271_CR3","doi-asserted-by":"publisher","first-page":"278","DOI":"10.1179\/174329306X102093","volume":"11","author":"A Bastier","year":"2006","unstructured":"Bastier, A., Maitournam, M. H., Van, K. D., & Roger, F. (2006). Steady state thermomechanical modelling of friction stir welding. Science and Technology of Welding and Joining, 11(3), 278\u2013288.","journal-title":"Science and Technology of Welding and Joining"},{"key":"2271_CR4","doi-asserted-by":"publisher","first-page":"566","DOI":"10.1016\/j.jmapro.2018.07.002","volume":"34","author":"M Boukraa","year":"2018","unstructured":"Boukraa, M., Lebaal, N., Mataoui, A., Settar, A., Aissani, M., & Tala-Ighil, N. (2018). Friction stir welding process improvement through coupling an optimization procedure and three-dimensional transient heat transfer numerical analysis. Journal of Manufacturing Processes, 34, 566\u2013578.","journal-title":"Journal of Manufacturing Processes"},{"issue":"6","key":"2271_CR5","doi-asserted-by":"publisher","first-page":"968","DOI":"10.1002\/srin.201300182","volume":"85","author":"P Bussetta","year":"2014","unstructured":"Bussetta, P., Dialami, N., Boman, R., Chiumenti, M., Agelet de Saracibar, C., Cervera, M., & Ponthot, J.-P. (2014). Comparison of a fluid and a solid approach for the numerical simulation of friction stir welding with a non-cylindrical pin. Steel Research International, 85(6), 968\u2013979.","journal-title":"Steel Research International"},{"key":"2271_CR6","unstructured":"Chen, R.\u00a0T., Rubanova, Y., Bettencourt, J., & Duvenaud, D.\u00a0K. (2018). Neural ordinary differential equations. Advances in neural information processing systems,31."},{"key":"2271_CR7","doi-asserted-by":"publisher","first-page":"353","DOI":"10.1016\/j.cma.2012.09.013","volume":"254","author":"M Chiumenti","year":"2013","unstructured":"Chiumenti, M., Cervera, M., Agelet de Saracibar, C., & Dialami, N. (2013). Numerical modeling of friction stir welding processes. Computer Methods in Applied Mechanics and Engineering, 254, 353\u2013369.","journal-title":"Computer Methods in Applied Mechanics and Engineering"},{"issue":"4","key":"2271_CR8","doi-asserted-by":"publisher","first-page":"429","DOI":"10.1179\/174329306X107700","volume":"11","author":"PA Colegrove","year":"2006","unstructured":"Colegrove, P. A., & Shercliff, H. R. (2006). Cfd modelling of friction stir welding of thick plate 7449 aluminium alloy. Science and Technology of Welding and Joining, 11(4), 429\u2013441.","journal-title":"Science and Technology of Welding and Joining"},{"key":"2271_CR9","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1016\/j.actamat.2020.03.047","volume":"192","author":"Y Du","year":"2020","unstructured":"Du, Y., Mukherjee, T., Mitra, P., & DebRoy, T. (2020). Machine learning based hierarchy of causative variables for tool failure in friction stir welding. Acta Materialia, 192, 67\u201377.","journal-title":"Acta Materialia"},{"key":"2271_CR10","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijmecsci.2023.108409","volume":"253","author":"W Guan","year":"2023","unstructured":"Guan, W., Cui, L., Liang, H., Wang, D., Huang, Y., Li, M., & Li, X. (2023). The response of force characteristic to weld-forming process in friction stir welding assisted by machine learning. International Journal of Mechanical Sciences, 253, 108409.","journal-title":"International Journal of Mechanical Sciences"},{"key":"2271_CR11","doi-asserted-by":"publisher","DOI":"10.1016\/j.pmatsci.2020.100752","volume":"117","author":"A Heidarzadeh","year":"2021","unstructured":"Heidarzadeh, A., Mironov, S., Kaibyshev, R., \u00c7am, G., Simar, A., Gerlich, A., Khodabakhshi, F., Mostafaei, A., Field, D. P., Robson, J. D., et al. (2021). Friction stir welding\/processing of metals and alloys: A comprehensive review on microstructural evolution. Progress in Materials Science, 117, 100752.","journal-title":"Progress in Materials Science"},{"key":"2271_CR12","doi-asserted-by":"publisher","first-page":"278","DOI":"10.1016\/j.jmapro.2016.04.008","volume":"23","author":"R Jain","year":"2016","unstructured":"Jain, R., Pal, S. K., & Singh, S. B. (2016). A study on the variation of forces and temperature in a friction stir welding process: A finite element approach. Journal of Manufacturing Processes, 23, 278\u2013286.","journal-title":"Journal of Manufacturing Processes"},{"key":"2271_CR13","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1007\/s00466-023-02289-9","volume":"72","author":"E King","year":"2023","unstructured":"King, E., Li, Y., Hu, S., & Machorro, E. (2023). Physics-informed machine-learning model of temperature evolution under solid phase processes. Computational Mechanics, 72, 125\u2013136.","journal-title":"Computational Mechanics"},{"issue":"10","key":"2271_CR14","doi-asserted-by":"publisher","first-page":"6591","DOI":"10.1007\/s11665-020-05132-x","volume":"29","author":"JY Li","year":"2020","unstructured":"Li, J. Y., Yao, X. X., & Zhang, Z. (2020). Physical model based on data-driven analysis of chemical composition effects of friction stir welding. Journal of Materials Engineering and Performance, 29(10), 6591\u20136604.","journal-title":"Journal of Materials Engineering and Performance"},{"issue":"1","key":"2271_CR15","first-page":"1-S","volume":"82","author":"T Lienert","year":"2003","unstructured":"Lienert, T., Stellwag, W., Jr., Grimmett, B., & Warke, R. (2003). Friction stir welding studies on mild steel. Welding Journal, 82(1), 1-S.","journal-title":"Welding Journal"},{"issue":"1\u20133","key":"2271_CR16","doi-asserted-by":"publisher","first-page":"411","DOI":"10.1016\/j.jmatprotec.2007.10.067","volume":"203","author":"S Mandal","year":"2008","unstructured":"Mandal, S., Rice, J., & Elmustafa, A. (2008). Experimental and numerical investigation of the plunge stage in friction stir welding. Journal of Materials Processing Technology, 203(1\u20133), 411\u2013419.","journal-title":"Journal of Materials Processing Technology"},{"issue":"1\u20133","key":"2271_CR17","doi-asserted-by":"publisher","first-page":"190","DOI":"10.1016\/j.jmatprotec.2005.12.012","volume":"174","author":"S Mandal","year":"2006","unstructured":"Mandal, S., & Williamson, K. (2006). A thermomechanical hot channel approach for friction stir welding. Journal of Materials Processing Technology, 174(1\u20133), 190\u2013194.","journal-title":"Journal of Materials Processing Technology"},{"issue":"1\u20132","key":"2271_CR18","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.mser.2005.07.001","volume":"50","author":"RS Mishra","year":"2005","unstructured":"Mishra, R. S., & Ma, Z. (2005). Friction stir welding and processing. Materials Science and Engineering: R: Reports, 50(1\u20132), 1\u201378.","journal-title":"Materials Science and Engineering: R: Reports"},{"key":"2271_CR19","volume-title":"Comparison of 3-D friction stir welding viscoplastic finite element model with weld data and physically-simulated data","author":"M Posada","year":"2012","unstructured":"Posada, M. (2012). Comparison of 3-D friction stir welding viscoplastic finite element model with weld data and physically-simulated data. Brigham Young University."},{"key":"2271_CR20","doi-asserted-by":"crossref","unstructured":"Rackauckas, C., Ma, Y., Martensen, J., Warner, C., Zubov, K., Supekar, R., Skinner, D., Ramadhan, A., & Edelman, A. (2020). Universal differential equations for scientific machine learning, arXiv preprint arXiv:2001.04385","DOI":"10.21203\/rs.3.rs-55125\/v1"},{"key":"2271_CR21","doi-asserted-by":"crossref","unstructured":"Rackauckas, C., & Nie, Q. (2017). Differentialequations.jl\u2014a performant and feature-rich ecosystem for solving differential equations in julia. Journal of Open Research Software,5(1).","DOI":"10.5334\/jors.151"},{"key":"2271_CR22","doi-asserted-by":"publisher","first-page":"686","DOI":"10.1016\/j.jcp.2018.10.045","volume":"378","author":"M Raissi","year":"2019","unstructured":"Raissi, M., Perdikaris, P., & Karniadakis, G. E. (2019). Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations. Journal of Computational Physics, 378, 686\u2013707.","journal-title":"Journal of Computational Physics"},{"key":"2271_CR23","volume-title":"Investigation and implementation of a robust temperature control algorithm for friction stir welding","author":"KA Ross","year":"2012","unstructured":"Ross, K. A. (2012). Investigation and implementation of a robust temperature control algorithm for friction stir welding. Brigham Young University."},{"issue":"3","key":"2271_CR24","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1177\/1464420713509075","volume":"229","author":"MH Shojaeefard","year":"2015","unstructured":"Shojaeefard, M. H., Khalkhali, A., Akbari, M., & Asadi, P. (2015). Investigation of friction stir welding tool parameters using fem and neural network. Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 229(3), 209\u2013217.","journal-title":"Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications"},{"key":"2271_CR25","doi-asserted-by":"publisher","first-page":"605","DOI":"10.1007\/s00170-015-6868-x","volume":"79","author":"A Shrivastava","year":"2015","unstructured":"Shrivastava, A., Pfefferkorn, F. E., Duffie, N. A., Ferrier, N. J., Smith, C. B., Malukhin, K., & Zinn, M. (2015). Physics-based process model approach for detecting discontinuity during friction stir welding. The International Journal of Advanced Manufacturing Technology, 79, 605\u2013614.","journal-title":"The International Journal of Advanced Manufacturing Technology"},{"key":"2271_CR26","doi-asserted-by":"publisher","first-page":"232","DOI":"10.1016\/j.jmapro.2017.07.015","volume":"29","author":"BS Taysom","year":"2017","unstructured":"Taysom, B. S., Sorensen, C. D., & Hedengren, J. D. (2017). A comparison of model predictive control and pid temperature control in friction stir welding. Journal of Manufacturing Processes, 29, 232\u2013241.","journal-title":"Journal of Manufacturing Processes"},{"key":"2271_CR27","unstructured":"Thomas, W.\u00a0M., Nicholas, E.\u00a0D., Needham, J.\u00a0C., Murch, M.\u00a0G., Temple-Smith, P., & Dawes, C.\u00a0J. (1995). Friction welding."},{"issue":"14","key":"2271_CR28","doi-asserted-by":"publisher","first-page":"1549","DOI":"10.1016\/S0890-6955(02)00114-1","volume":"42","author":"P Ulysse","year":"2002","unstructured":"Ulysse, P. (2002). Three-dimensional modeling of the friction stir-welding process. International Journal of Machine Tools and Manufacture, 42(14), 1549\u20131557.","journal-title":"International Journal of Machine Tools and Manufacture"},{"key":"2271_CR29","doi-asserted-by":"crossref","unstructured":"Upadhyay, P., & Reynolds, A. P. (2015). Thermal management in friction-stir welding of precipitation-hardened aluminum alloys. JOM, 67, 1022\u20131031.","DOI":"10.1007\/s11837-015-1381-0"},{"issue":"2","key":"2271_CR30","first-page":"131","volume":"11","author":"D Velji\u0107","year":"2011","unstructured":"Velji\u0107, D., Perovi\u0107, M., Sedmak, A., Rakin, M., Baji\u0107, N., Medjo, B., & Dascau, H. (2011). Numerical simulation of the plunge stage in friction stir welding. Integritet i vek konstrukcija, 11(2), 131\u2013134.","journal-title":"Integritet i vek konstrukcija"}],"container-title":["Journal of Intelligent Manufacturing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10845-023-02271-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10845-023-02271-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10845-023-02271-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,3]],"date-time":"2025-02-03T22:29:39Z","timestamp":1738621779000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10845-023-02271-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,1,5]]},"references-count":30,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2025,2]]}},"alternative-id":["2271"],"URL":"https:\/\/doi.org\/10.1007\/s10845-023-02271-5","relation":{},"ISSN":["0956-5515","1572-8145"],"issn-type":[{"value":"0956-5515","type":"print"},{"value":"1572-8145","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,1,5]]},"assertion":[{"value":"20 April 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 November 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 January 2024","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}