dc.creator | Díaz Moreno, J.M. | es |
dc.creator | García Vázquez, C. | es |
dc.creator | González Montesinos, María Teresa | es |
dc.creator | Ortegón Gallego, Francisco | es |
dc.date.accessioned | 2019-09-12T10:20:19Z | |
dc.date.available | 2019-09-12T10:20:19Z | |
dc.date.issued | 2012 | |
dc.identifier.citation | Díaz Moreno, J.M., García Vázquez, C., González Montesinos, M.T. y Ortegón Gallego, F. (2012). Analysis and numerical simulation of an induction–conduction model arising in steel heat treating. Journal of Computational and Applied Mathematics, 236 (12), 3007-3015. | |
dc.identifier.issn | 0377-0427 | es |
dc.identifier.uri | https://hdl.handle.net/11441/89106 | |
dc.description.abstract | The goal of steel heat treating is to create a hard enough part over certain critical surfaces
or volumes of the workpiece and at the same time keeping its ductility properties all over
the rest of the workpiece.
Weconsider a mathematical model for the description of the heating–cooling industrial
process of a steel workpiece. This model consists of a nonlinear coupled partial differential
system of equations involving the electric potential, the magnetic vector potential, the
temperature, together with a system of ordinary differential equations for the steel phase
fractions. Due to the different time scales related to the electric potential and the magnetic
vector potential versus the temperature, we introduce the harmonic regime, leading to a
new system of nonlinear PDEs. Finally, we have carried out some 2D numerical simulations
of this heating–cooling industrial process. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia MTM2010-16401 | es |
dc.description.sponsorship | Junta de Andalucía FQM-315 | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Computational and Applied Mathematics, 236 (12), 3007-3015. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Steel hardening | es |
dc.subject | Phase fractions | es |
dc.subject | Nonlinear parabolic–elliptic equations | es |
dc.subject | Sobolev spaces | es |
dc.subject | Finite elements method | es |
dc.title | Analysis and numerical simulation of an induction–conduction model arising in steel heat treating | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | MTM2010-16401 | es |
dc.relation.projectID | FQM-315 | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0377042711001841 | es |
dc.identifier.doi | 10.1016/j.cam.2011.04.007 | es |
idus.format.extent | 9 | es |
dc.journaltitle | Journal of Computational and Applied Mathematics | es |
dc.publication.volumen | 236 | es |
dc.publication.issue | 12 | es |
dc.publication.initialPage | 3007 | es |
dc.publication.endPage | 3015 | es |