Analytical method for elastic recovery prediction of air bending sheet

The estimation of the elastic recovery is of great importance during the planning of plastic deformation processes, because this estimation could reduce the number of required steps to reach the target geometry. The sheet bending process is one of the most widely used industrial processes, and that...

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Autores:
González-Coneo, Jorge
Gonzalez Olier, Camilo Andres
Pedraza Yepes, Cristian Antonio
HIGUERA COBOS, OSCAR FABIÁN
Troncoso Palacio, Alexander
Tipo de recurso:
Article of investigation
Fecha de publicación:
2023
Institución:
Corporación Universidad de la Costa
Repositorio:
REDICUC - Repositorio CUC
Idioma:
eng
OAI Identifier:
oai:repositorio.cuc.edu.co:11323/10705
Acceso en línea:
https://hdl.handle.net/11323/10705
https://repositorio.cuc.edu.co/
Palabra clave:
Springback
Analytical model
Plastic deformation
Elastic recovery
Potential hardening
Rights
openAccess
License
Atribución 4.0 Internacional (CC BY 4.0)
id RCUC2_72043caccf98ffa92f47c40cde349e05
oai_identifier_str oai:repositorio.cuc.edu.co:11323/10705
network_acronym_str RCUC2
network_name_str REDICUC - Repositorio CUC
repository_id_str
dc.title.eng.fl_str_mv Analytical method for elastic recovery prediction of air bending sheet
title Analytical method for elastic recovery prediction of air bending sheet
spellingShingle Analytical method for elastic recovery prediction of air bending sheet
Springback
Analytical model
Plastic deformation
Elastic recovery
Potential hardening
title_short Analytical method for elastic recovery prediction of air bending sheet
title_full Analytical method for elastic recovery prediction of air bending sheet
title_fullStr Analytical method for elastic recovery prediction of air bending sheet
title_full_unstemmed Analytical method for elastic recovery prediction of air bending sheet
title_sort Analytical method for elastic recovery prediction of air bending sheet
dc.creator.fl_str_mv González-Coneo, Jorge
Gonzalez Olier, Camilo Andres
Pedraza Yepes, Cristian Antonio
HIGUERA COBOS, OSCAR FABIÁN
Troncoso Palacio, Alexander
dc.contributor.author.none.fl_str_mv González-Coneo, Jorge
Gonzalez Olier, Camilo Andres
Pedraza Yepes, Cristian Antonio
HIGUERA COBOS, OSCAR FABIÁN
Troncoso Palacio, Alexander
dc.subject.proposal.eng.fl_str_mv Springback
Analytical model
Plastic deformation
Elastic recovery
Potential hardening
topic Springback
Analytical model
Plastic deformation
Elastic recovery
Potential hardening
description The estimation of the elastic recovery is of great importance during the planning of plastic deformation processes, because this estimation could reduce the number of required steps to reach the target geometry. The sheet bending process is one of the most widely used industrial processes, and that is why this paper seeks to provide an analytical model based on an elastic behavior with potential hardening of the material that could be combined with the geometric information of the process to estimate the degree of recovery of the components. The potential hardening model was selected due to its simplicity and good fit with the experimental data observed in steel sheets in this application. The effectiveness of the model was compared with the results obtained by several authors. The effectiveness of the model is significantly influenced by the parameters of the bending process and the method used to estimate the radius of curvature.
publishDate 2023
dc.date.issued.none.fl_str_mv 2023
dc.date.accessioned.none.fl_str_mv 2024-02-14T16:04:54Z
dc.date.available.none.fl_str_mv 2024-02-14T16:04:54Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.citation.spa.fl_str_mv ​​González-Coneo, J., Gonzalez-Olier, C., Pedraza-Yepes, C., Higuera-Cobos, O., & Troncoso-Palacio, A. (2023). Analytical method for elastic recovery prediction of air bending sheet. Journal of Applied Engineering Science, 21(4), 973–981. https://doi.org/10.5937/JAES0-39481
dc.identifier.issn.spa.fl_str_mv 1451-4117
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/11323/10705
dc.identifier.doi.none.fl_str_mv 10.5937/JAES0-39481
dc.identifier.eissn.spa.fl_str_mv 1821-3197
dc.identifier.instname.spa.fl_str_mv Corporación Universidad de la Costa
dc.identifier.reponame.spa.fl_str_mv REDICUC - Repositorio CUC
dc.identifier.repourl.spa.fl_str_mv https://repositorio.cuc.edu.co/
identifier_str_mv ​​González-Coneo, J., Gonzalez-Olier, C., Pedraza-Yepes, C., Higuera-Cobos, O., & Troncoso-Palacio, A. (2023). Analytical method for elastic recovery prediction of air bending sheet. Journal of Applied Engineering Science, 21(4), 973–981. https://doi.org/10.5937/JAES0-39481
1451-4117
10.5937/JAES0-39481
1821-3197
Corporación Universidad de la Costa
REDICUC - Repositorio CUC
url https://hdl.handle.net/11323/10705
https://repositorio.cuc.edu.co/
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartofjournal.spa.fl_str_mv Journal of Applied Engineering Science
dc.relation.references.spa.fl_str_mv [1] Meyers M. A., Chawla K. K. (2007). Mechanical Behavior of Materials. Cambridge press, Cambridge
[2] Wagoner R. H., Lim H., Lee M.G.(2013). Advanced Issues in springback, Int. J. Plast., vol. 45, p.GG3–20, Jun.X, DOI: 10.1016/j.ijplas.2012.08.006.
[3] Marciniak Z., Duncan J.L., Hu S.J. (2002). Mechanics of Sheet Metal Forming. Elsevier, Oxford.
[4] Gardiner F.J. (1957).The Springback of Metals. Trans. ASME, vol 79, no 1, p.1-9
[5] Hou Y., Min J., Lin J., Liu Z, Carsley J.E, Stoughton T.B. (2017). Springback prediction of sheet metals using improved material models. Procedia Engineering, p.173–178. DOI: 10.1016/j.proeng.2017.10.757.
[6] Li K.P., Carden W.P., Wagoner R.H. Simulation of springback. (2002). Int. J. Mech. Sci., vol. 44, no. 1, p.103–122, DOI: 10.1016/S0020-7403(01)00083-2.
[7] Yilamu K., Hino R., Hamasaki H., Yoshida F. (2010). Air bending and springback of stainless steel clad aluminum sheet. J. Mater. Process. Technol., vol. 210, no. 2, p. 272–278, DOI: 10.1016/j. jmatprotec. .2009.09.010.
[8] Sitar M., Kosel F., Brojan M. (2015). Numerical and experimental analysis of elastic–plastic pure bending and springback of beams of asymmetric cross-sections. Int. J. Mech. Sci., vol. 90, p. 77–88, DOI: 10.1016/j.ijmecsci.2014.11.006.
[9] Lepadatu D., Hambli R., Kobi A., Barreau A. (2005). Optimization of springback in bending processes using FEM simulation and response surface method. Int. J. Adv. Manuf. Technol., vol. 27, no. 1–2, p. 40–47, DOI: 10.1007/s00170-004-2146-z.
[10]Sumikawa S., Ishiwatari A., Hiramoto J., (2017). Improvement of springback prediction accuracy by considering nonlinear elastoplastic behavior after stress reversal. J. Mater. Process. Technol., vol. 241, p. 46–53, DOI: 10.1016/j.jmatprotec.2016.11.005.
[11] Chan W. M., Chew H. I., Lee H. P., Cheok B.T. (2004). Finite element analysis of spring-back of V-bending sheet metal forming processes. J. Mater. Process. Technol., vol. 148, no. 1, p. 15–24, DOI: 10.1016/j.jmatprotec.2003.11.038.
[12]Burchitz I.A., Meinders T. (2008). Adaptive through-thickness integration for accurate springback prediction. Int. J. Numer. Methods Eng., vol. 75, no. 5, pp. 533–554, DOI: 10.1002/nme.2260.
[13]Gisario A., Mehrpouya M., Venettacci S., Barletta M. (2017). Laser-assisted bending of Titanium Grade-2 sheets: Experimental analysis and numerical simulation. Opt. Lasers Eng., vol. 92, p. 110–119, DOI: 10.1016/j.optlaseng.2016.09.004.
[14]Wang J., Verma S., Alexander R., Gau J.T. (2008). Springback control of sheet metal air bending process. J. Manuf. Process., vol. 10, no. 1, p. 21–27, DOI: 10.1016/j.manpro.2007.09.001.
[15]Wagoner R.H., Wang J.F., Li M. (2006). Springback. Metalworking: Sheet Forming, ASM International, p. 733–755. DOI: 10.31399/asm.hb.v14b.a0005131.
[16]Garcia-Romeu M.L. (2005). Contribución al estudio del proceso de doblado al aire de chapas: modelo de predicción del ángulo de recuperación y del radio de doblado final. Universidad de Girona, Girona.
[17]Xiao H., Bruhns O.T., Meyers A. (2006). Elastoplasticity beyond small deformations. Acta Mech., vol. 182, no. 1–2, p. 31–111, DOI: 10.1007/s00707-005-0282-7.
[18] Carden W., Geng L., Matlock D., Wagoner R.H. (2002). Measurement of springback. Int. J. Mech. Sci., vol. 44, no. 1, p.79–101, DOI: 10.1016/S0020-7403(01)00082-0.
[19] Huang C., Xiang Z.Q., Mao Y.S., Zhang S.X. (2017). An improved study on Gardiner’s work based on elastoplastic analysis considering deformation history. Int. J. Mech. Sci., vol. 130, pp. 111–118, DOI: 10.1016/j.ijmecsci.2017.05.053.
[20] Hosford W.F., Caddell R.M. (2007). Metal forming: Mechanics and metallurgy. Cambridge University press, Cambridge.
[21] Askeland D., Puhlé P. (2013). The Science and Engineering of Materials. Springer, New York.
[22]Al E.A., Mranal J. (2004). A new constitutive model for prediction of springback sheet metal forming. Material processing and desing: modeling, simulation and applications, AIP, p.1651–1657. DOI:https://doi.org/10.1063/1.1766766.
[23]Yi H.K., Kim,D.W. Van Tyne C.J., Moon Y.H. (2008). Analytical prediction of springback based on residual differential strain during sheet metal bending. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci., vol. 222, no. 2, p. 117–129, DOI: 10.1243/09544062JMES682.
[24] Beer F., Johnston R., DeWolf J., Mazurek D. (2014). Mechanics of Materials. McGraw-Hill Education, New York.
[25]Garcia-Romeu M.L, Ciurana J., Ferrer I. (2007). Springback determination of sheet metals in an air bendingprocess based on an experimental work. J. Mater. Process. Technol., vol. 191, no. 1–3, p.174–177, DOI: 10.1016/j.jmatprotec.2007.03.019.
[26]Vorkov V., Aerens R., Vandepitte D., Duflou J.R. (2017). Springback Prediction of High-strength Steels in Large Radius Air Bending Using Finite Element Modeling Approach. Procedia Eng., vol. 81, p.1005–1010, DOI: 10.1016/j.proeng.2014.10.132.
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rights_invalid_str_mv Atribución 4.0 Internacional (CC BY 4.0)
© Copyright CEON/CEES 2001-2024
https://creativecommons.org/licenses/by/4.0/
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dc.publisher.spa.fl_str_mv Institute for Educational Research
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spelling Atribución 4.0 Internacional (CC BY 4.0)© Copyright CEON/CEES 2001-2024https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2González-Coneo, JorgeGonzalez Olier, Camilo AndresPedraza Yepes, Cristian AntonioHIGUERA COBOS, OSCAR FABIÁNTroncoso Palacio, Alexander2024-02-14T16:04:54Z2024-02-14T16:04:54Z2023​​González-Coneo, J., Gonzalez-Olier, C., Pedraza-Yepes, C., Higuera-Cobos, O., & Troncoso-Palacio, A. (2023). Analytical method for elastic recovery prediction of air bending sheet. Journal of Applied Engineering Science, 21(4), 973–981. https://doi.org/10.5937/JAES0-394811451-4117https://hdl.handle.net/11323/1070510.5937/JAES0-394811821-3197Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/The estimation of the elastic recovery is of great importance during the planning of plastic deformation processes, because this estimation could reduce the number of required steps to reach the target geometry. The sheet bending process is one of the most widely used industrial processes, and that is why this paper seeks to provide an analytical model based on an elastic behavior with potential hardening of the material that could be combined with the geometric information of the process to estimate the degree of recovery of the components. The potential hardening model was selected due to its simplicity and good fit with the experimental data observed in steel sheets in this application. The effectiveness of the model was compared with the results obtained by several authors. The effectiveness of the model is significantly influenced by the parameters of the bending process and the method used to estimate the radius of curvature.9 páginasapplication/pdfengInstitute for Educational ResearchSerbiahttps://scindeks.ceon.rs/Article.aspx?artid=1451-41172304973GAnalytical method for elastic recovery prediction of air bending sheetArtículo de revistahttp://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85Journal of Applied Engineering Science[1] Meyers M. A., Chawla K. K. (2007). Mechanical Behavior of Materials. Cambridge press, Cambridge[2] Wagoner R. H., Lim H., Lee M.G.(2013). Advanced Issues in springback, Int. J. Plast., vol. 45, p.GG3–20, Jun.X, DOI: 10.1016/j.ijplas.2012.08.006.[3] Marciniak Z., Duncan J.L., Hu S.J. (2002). Mechanics of Sheet Metal Forming. Elsevier, Oxford.[4] Gardiner F.J. (1957).The Springback of Metals. Trans. ASME, vol 79, no 1, p.1-9[5] Hou Y., Min J., Lin J., Liu Z, Carsley J.E, Stoughton T.B. (2017). Springback prediction of sheet metals using improved material models. Procedia Engineering, p.173–178. DOI: 10.1016/j.proeng.2017.10.757.[6] Li K.P., Carden W.P., Wagoner R.H. Simulation of springback. (2002). Int. J. Mech. Sci., vol. 44, no. 1, p.103–122, DOI: 10.1016/S0020-7403(01)00083-2.[7] Yilamu K., Hino R., Hamasaki H., Yoshida F. (2010). Air bending and springback of stainless steel clad aluminum sheet. J. Mater. Process. Technol., vol. 210, no. 2, p. 272–278, DOI: 10.1016/j. jmatprotec. .2009.09.010.[8] Sitar M., Kosel F., Brojan M. (2015). Numerical and experimental analysis of elastic–plastic pure bending and springback of beams of asymmetric cross-sections. Int. J. Mech. Sci., vol. 90, p. 77–88, DOI: 10.1016/j.ijmecsci.2014.11.006.[9] Lepadatu D., Hambli R., Kobi A., Barreau A. (2005). Optimization of springback in bending processes using FEM simulation and response surface method. Int. J. Adv. Manuf. Technol., vol. 27, no. 1–2, p. 40–47, DOI: 10.1007/s00170-004-2146-z.[10]Sumikawa S., Ishiwatari A., Hiramoto J., (2017). Improvement of springback prediction accuracy by considering nonlinear elastoplastic behavior after stress reversal. J. Mater. Process. Technol., vol. 241, p. 46–53, DOI: 10.1016/j.jmatprotec.2016.11.005.[11] Chan W. M., Chew H. I., Lee H. P., Cheok B.T. (2004). Finite element analysis of spring-back of V-bending sheet metal forming processes. J. Mater. Process. Technol., vol. 148, no. 1, p. 15–24, DOI: 10.1016/j.jmatprotec.2003.11.038.[12]Burchitz I.A., Meinders T. (2008). Adaptive through-thickness integration for accurate springback prediction. Int. J. Numer. Methods Eng., vol. 75, no. 5, pp. 533–554, DOI: 10.1002/nme.2260.[13]Gisario A., Mehrpouya M., Venettacci S., Barletta M. (2017). Laser-assisted bending of Titanium Grade-2 sheets: Experimental analysis and numerical simulation. Opt. Lasers Eng., vol. 92, p. 110–119, DOI: 10.1016/j.optlaseng.2016.09.004.[14]Wang J., Verma S., Alexander R., Gau J.T. (2008). Springback control of sheet metal air bending process. J. Manuf. Process., vol. 10, no. 1, p. 21–27, DOI: 10.1016/j.manpro.2007.09.001.[15]Wagoner R.H., Wang J.F., Li M. (2006). Springback. Metalworking: Sheet Forming, ASM International, p. 733–755. DOI: 10.31399/asm.hb.v14b.a0005131.[16]Garcia-Romeu M.L. (2005). Contribución al estudio del proceso de doblado al aire de chapas: modelo de predicción del ángulo de recuperación y del radio de doblado final. Universidad de Girona, Girona.[17]Xiao H., Bruhns O.T., Meyers A. (2006). Elastoplasticity beyond small deformations. Acta Mech., vol. 182, no. 1–2, p. 31–111, DOI: 10.1007/s00707-005-0282-7.[18] Carden W., Geng L., Matlock D., Wagoner R.H. (2002). Measurement of springback. Int. J. Mech. Sci., vol. 44, no. 1, p.79–101, DOI: 10.1016/S0020-7403(01)00082-0.[19] Huang C., Xiang Z.Q., Mao Y.S., Zhang S.X. (2017). An improved study on Gardiner’s work based on elastoplastic analysis considering deformation history. Int. J. Mech. Sci., vol. 130, pp. 111–118, DOI: 10.1016/j.ijmecsci.2017.05.053.[20] Hosford W.F., Caddell R.M. (2007). Metal forming: Mechanics and metallurgy. Cambridge University press, Cambridge.[21] Askeland D., Puhlé P. (2013). The Science and Engineering of Materials. Springer, New York.[22]Al E.A., Mranal J. (2004). A new constitutive model for prediction of springback sheet metal forming. Material processing and desing: modeling, simulation and applications, AIP, p.1651–1657. DOI:https://doi.org/10.1063/1.1766766.[23]Yi H.K., Kim,D.W. Van Tyne C.J., Moon Y.H. (2008). Analytical prediction of springback based on residual differential strain during sheet metal bending. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci., vol. 222, no. 2, p. 117–129, DOI: 10.1243/09544062JMES682.[24] Beer F., Johnston R., DeWolf J., Mazurek D. (2014). Mechanics of Materials. McGraw-Hill Education, New York.[25]Garcia-Romeu M.L, Ciurana J., Ferrer I. (2007). Springback determination of sheet metals in an air bendingprocess based on an experimental work. J. Mater. Process. Technol., vol. 191, no. 1–3, p.174–177, DOI: 10.1016/j.jmatprotec.2007.03.019.[26]Vorkov V., Aerens R., Vandepitte D., Duflou J.R. (2017). Springback Prediction of High-strength Steels in Large Radius Air Bending Using Finite Element Modeling Approach. Procedia Eng., vol. 81, p.1005–1010, DOI: 10.1016/j.proeng.2014.10.132.981973421SpringbackAnalytical modelPlastic deformationElastic recoveryPotential hardeningPublicationORIGINALANALYTICAL METHOD FOR ELASTIC RECOVERY PREDICTION.pdfANALYTICAL METHOD FOR ELASTIC RECOVERY PREDICTION.pdfArtículoapplication/pdf285071https://repositorio.cuc.edu.co/bitstreams/e529a5e7-09d5-4843-8e93-bff30aa1d432/download8076a5766069891fc70284fa542079b1MD51ORIGINALANALYTICAL METHOD FOR ELASTIC RECOVERY PREDICTION.pdfANALYTICAL METHOD FOR ELASTIC RECOVERY PREDICTION.pdfArtículoapplication/pdf285071https://repositorio.cuc.edu.co/bitstreams/0811e918-b9e2-4f79-b8d6-7b4f10e8517f/download8076a5766069891fc70284fa542079b1MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-814828https://repositorio.cuc.edu.co/bitstreams/53293fba-e163-4ab3-a576-07f967f484ca/download2f9959eaf5b71fae44bbf9ec84150c7aMD52TEXTANALYTICAL METHOD FOR ELASTIC RECOVERY PREDICTION.pdf.txtANALYTICAL METHOD FOR ELASTIC RECOVERY 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ada en las Obras Colectivas.

b.	Distribuir copias o fonogramas de las Obras, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública, incluyéndolas como incorporadas en Obras Colectivas, según corresponda.

c.	Distribuir copias de las Obras Derivadas que se generen, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública.
Los derechos mencionados anteriormente pueden ser ejercidos en todos los medios y formatos, actualmente conocidos o que se inventen en el futuro. Los derechos antes mencionados incluyen el derecho a realizar dichas modificaciones en la medida que sean técnicamente necesarias para ejercer los derechos en otro medio o formatos, pero de otra manera usted no está autorizado para realizar obras derivadas. Todos los derechos no otorgados expresamente por el Licenciante quedan por este medio reservados, incluyendo pero sin limitarse a aquellos que se mencionan en las secciones 4(d) y 4(e).

4. Restricciones.
La licencia otorgada en la anterior Sección 3 está expresamente sujeta y limitada por las siguientes restricciones:

a.	Usted puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra sólo bajo las condiciones de esta Licencia, y Usted debe incluir una copia de esta licencia o del Identificador Universal de Recursos de la misma con cada copia de la Obra que distribuya, exhiba públicamente, ejecute públicamente o ponga a disposición pública. No es posible ofrecer o imponer ninguna condición sobre la Obra que altere o limite las condiciones de esta Licencia o el ejercicio de los derechos de los destinatarios otorgados en este documento. No es posible sublicenciar la Obra. Usted debe mantener intactos todos los avisos que hagan referencia a esta Licencia y a la cláusula de limitación de garantías. Usted no puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra con alguna medida tecnológica que controle el acceso o la utilización de ella de una forma que sea inconsistente con las condiciones de esta Licencia. Lo anterior se aplica a la Obra incorporada a una Obra Colectiva, pero esto no exige que la Obra Colectiva aparte de la obra misma quede sujeta a las condiciones de esta Licencia. Si Usted crea una Obra Colectiva, previo aviso de cualquier Licenciante debe, en la medida de lo posible, eliminar de la Obra Colectiva cualquier referencia a dicho Licenciante o al Autor Original, según lo solicitado por el Licenciante y conforme lo exige la cláusula 4(c).

b.	Usted no puede ejercer ninguno de los derechos que le han sido otorgados en la Sección 3 precedente de modo que estén principalmente destinados o directamente dirigidos a conseguir un provecho comercial o una compensación monetaria privada. El intercambio de la Obra por otras obras protegidas por derechos de autor, ya sea a través de un sistema para compartir archivos digitales (digital file-sharing) o de cualquier otra manera no será considerado como estar destinado principalmente o dirigido directamente a conseguir un provecho comercial o una compensación monetaria privada, siempre que no se realice un pago mediante una compensación monetaria en relación con el intercambio de obras protegidas por el derecho de autor.

c.	Si usted distribuye, exhibe públicamente, ejecuta públicamente o ejecuta públicamente en forma digital la Obra o cualquier Obra Derivada u Obra Colectiva, Usted debe mantener intacta toda la información de derecho de autor de la Obra y proporcionar, de forma razonable según el medio o manera que Usted esté utilizando: (i) el nombre del Autor Original si está provisto (o seudónimo, si fuere aplicable), y/o (ii) el nombre de la parte o las partes que el Autor Original y/o el Licenciante hubieren designado para la atribución (v.g., un instituto patrocinador, editorial, publicación) en la información de los derechos de autor del Licenciante, términos de servicios o de otras formas razonables; el título de la Obra si está provisto; en la medida de lo razonablemente factible y, si está provisto, el Identificador Uniforme de Recursos (Uniform Resource Identifier) que el Licenciante especifica para ser asociado con la Obra, salvo que tal URI no se refiera a la nota sobre los derechos de autor o a la información sobre el licenciamiento de la Obra; y en el caso de una Obra Derivada, atribuir el crédito identificando el uso de la Obra en la Obra Derivada (v.g., "Traducción Francesa de la Obra del Autor Original," o "Guión Cinematográfico basado en la Obra original del Autor Original"). Tal crédito puede ser implementado de cualquier forma razonable; en el caso, sin embargo, de Obras Derivadas u Obras Colectivas, tal crédito aparecerá, como mínimo, donde aparece el crédito de cualquier otro autor comparable y de una manera, al menos, tan destacada como el crédito de otro autor comparable.

d.	Para evitar toda confusión, el Licenciante aclara que, cuando la obra es una composición musical:

i.	Regalías por interpretación y ejecución bajo licencias generales. El Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública o la ejecución pública digital de la obra y de recolectar, sea individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, SAYCO), las regalías por la ejecución pública o por la ejecución pública digital de la obra (por ejemplo Webcast) licenciada bajo licencias generales, si la interpretación o ejecución de la obra está primordialmente orientada por o dirigida a la obtención de una ventaja comercial o una compensación monetaria privada.

ii.	Regalías por Fonogramas. El Licenciante se reserva el derecho exclusivo de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, los consagrados por la SAYCO), una agencia de derechos musicales o algún agente designado, las regalías por cualquier fonograma que Usted cree a partir de la obra (“versión cover”) y distribuya, en los términos del régimen de derechos de autor, si la creación o distribución de esa versión cover está primordialmente destinada o dirigida a obtener una ventaja comercial o una compensación monetaria privada.

e.	Gestión de Derechos de Autor sobre Interpretaciones y Ejecuciones Digitales (WebCasting). Para evitar toda confusión, el Licenciante aclara que, cuando la obra sea un fonograma, el Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública digital de la obra (por ejemplo, webcast) y de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, ACINPRO), las regalías por la ejecución pública digital de la obra (por ejemplo, webcast), sujeta a las disposiciones aplicables del régimen de Derecho de Autor, si esta ejecución pública digital está primordialmente dirigida a obtener una ventaja comercial o una compensación monetaria privada.

5. Representaciones, Garantías y Limitaciones de Responsabilidad.
A MENOS QUE LAS PARTES LO ACORDARAN DE OTRA FORMA POR ESCRITO, EL LICENCIANTE OFRECE LA OBRA (EN EL ESTADO EN EL QUE SE ENCUENTRA) “TAL CUAL”, SIN BRINDAR GARANTÍAS DE CLASE ALGUNA RESPECTO DE LA OBRA, YA SEA EXPRESA, IMPLÍCITA, LEGAL O CUALQUIERA OTRA, INCLUYENDO, SIN LIMITARSE A ELLAS, GARANTÍAS DE TITULARIDAD, COMERCIABILIDAD, ADAPTABILIDAD O ADECUACIÓN A PROPÓSITO DETERMINADO, AUSENCIA DE INFRACCIÓN, DE AUSENCIA DE DEFECTOS LATENTES O DE OTRO TIPO, O LA PRESENCIA O AUSENCIA DE ERRORES, SEAN O NO DESCUBRIBLES (PUEDAN O NO SER ESTOS DESCUBIERTOS). ALGUNAS JURISDICCIONES NO PERMITEN LA EXCLUSIÓN DE GARANTÍAS IMPLÍCITAS, EN CUYO CASO ESTA EXCLUSIÓN PUEDE NO APLICARSE A USTED.

6. Limitación de responsabilidad.
A MENOS QUE LO EXIJA EXPRESAMENTE LA LEY APLICABLE, EL LICENCIANTE NO SERÁ RESPONSABLE ANTE USTED POR DAÑO ALGUNO, SEA POR RESPONSABILIDAD EXTRACONTRACTUAL, PRECONTRACTUAL O CONTRACTUAL, OBJETIVA O SUBJETIVA, SE TRATE DE DAÑOS MORALES O PATRIMONIALES, DIRECTOS O INDIRECTOS, PREVISTOS O IMPREVISTOS PRODUCIDOS POR EL USO DE ESTA LICENCIA O DE LA OBRA, AUN CUANDO EL LICENCIANTE HAYA SIDO ADVERTIDO DE LA POSIBILIDAD DE DICHOS DAÑOS. ALGUNAS LEYES NO PERMITEN LA EXCLUSIÓN DE CIERTA RESPONSABILIDAD, EN CUYO CASO ESTA EXCLUSIÓN PUEDE NO APLICARSE A USTED.

7. Término.

a.	Esta Licencia y los derechos otorgados en virtud de ella terminarán automáticamente si Usted infringe alguna condición establecida en ella. Sin embargo, los individuos o entidades que han recibido Obras Derivadas o Colectivas de Usted de conformidad con esta Licencia, no verán terminadas sus licencias, siempre que estos individuos o entidades sigan cumpliendo íntegramente las condiciones de estas licencias. Las Secciones 1, 2, 5, 6, 7, y 8 subsistirán a cualquier terminación de esta Licencia.

b.	Sujeta a las condiciones y términos anteriores, la licencia otorgada aquí es perpetua (durante el período de vigencia de los derechos de autor de la obra). No obstante lo anterior, el Licenciante se reserva el derecho a publicar y/o estrenar la Obra bajo condiciones de licencia diferentes o a dejar de distribuirla en los términos de esta Licencia en cualquier momento; en el entendido, sin embargo, que esa elección no servirá para revocar esta licencia o que deba ser otorgada , bajo los términos de esta licencia), y esta licencia continuará en pleno vigor y efecto a menos que sea terminada como se expresa atrás. La Licencia revocada continuará siendo plenamente vigente y efectiva si no se le da término en las condiciones indicadas anteriormente.

8. Varios.

a.	Cada vez que Usted distribuya o ponga a disposición pública la Obra o una Obra Colectiva, el Licenciante ofrecerá al destinatario una licencia en los mismos términos y condiciones que la licencia otorgada a Usted bajo esta Licencia.

b.	Si alguna disposición de esta Licencia resulta invalidada o no exigible, según la legislación vigente, esto no afectará ni la validez ni la aplicabilidad del resto de condiciones de esta Licencia y, sin acción adicional por parte de los sujetos de este acuerdo, aquélla se entenderá reformada lo mínimo necesario para hacer que dicha disposición sea válida y exigible.

c.	Ningún término o disposición de esta Licencia se estimará renunciada y ninguna violación de ella será consentida a menos que esa renuncia o consentimiento sea otorgado por escrito y firmado por la parte que renuncie o consienta.

d.	Esta Licencia refleja el acuerdo pleno entre las partes respecto a la Obra aquí licenciada. No hay arreglos, acuerdos o declaraciones respecto a la Obra que no estén especificados en este documento. El Licenciante no se verá limitado por ninguna disposición adicional que pueda surgir en alguna comunicación emanada de Usted. Esta Licencia no puede ser modificada sin el consentimiento mutuo por escrito del Licenciante y Usted.
