New approach of a contact detection algorithm based on a Shortest Link method

Contact detection algorithms based on a Common Plane (CP) are among the most used and investigated, despite not being the most optimal when generating a CP and thus detecting the existence of contact between particles. The generation of the CP is quite expensive in computational terms, for which som...

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Autores:
León, Roberto
Velásquez, Jaime
Gatica, Gustavo
Vargas, Ximena
Coronado, Jairo
Tipo de recurso:
Article of investigation
Fecha de publicación:
2022
Institución:
Corporación Universidad de la Costa
Repositorio:
REDICUC - Repositorio CUC
Idioma:
eng
OAI Identifier:
oai:repositorio.cuc.edu.co:11323/10876
Acceso en línea:
https://hdl.handle.net/11323/10876
https://repositorio.cuc.edu.co/
Palabra clave:
Contact detection
Shortest kink
Common plane
Rights
openAccess
License
Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
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network_acronym_str RCUC2
network_name_str REDICUC - Repositorio CUC
repository_id_str
dc.title.eng.fl_str_mv New approach of a contact detection algorithm based on a Shortest Link method
title New approach of a contact detection algorithm based on a Shortest Link method
spellingShingle New approach of a contact detection algorithm based on a Shortest Link method
Contact detection
Shortest kink
Common plane
title_short New approach of a contact detection algorithm based on a Shortest Link method
title_full New approach of a contact detection algorithm based on a Shortest Link method
title_fullStr New approach of a contact detection algorithm based on a Shortest Link method
title_full_unstemmed New approach of a contact detection algorithm based on a Shortest Link method
title_sort New approach of a contact detection algorithm based on a Shortest Link method
dc.creator.fl_str_mv León, Roberto
Velásquez, Jaime
Gatica, Gustavo
Vargas, Ximena
Coronado, Jairo
dc.contributor.author.none.fl_str_mv León, Roberto
Velásquez, Jaime
Gatica, Gustavo
Vargas, Ximena
Coronado, Jairo
dc.subject.proposal.eng.fl_str_mv Contact detection
Shortest kink
Common plane
topic Contact detection
Shortest kink
Common plane
description Contact detection algorithms based on a Common Plane (CP) are among the most used and investigated, despite not being the most optimal when generating a CP and thus detecting the existence of contact between particles. The generation of the CP is quite expensive in computational terms, for which some algorithms seek to check a possibility of contact between them quickly; and then verify it. For these cases, there are algorithms such as the Shortest Link Method (SLM) that efficiently generate a CP and quickly verify the existence of contact between particles. However, this algorithm has some shortcomings. The main reason for this research is to create a new algorithm based on SLM that can work without its disadvantages.
publishDate 2022
dc.date.issued.none.fl_str_mv 2022
dc.date.accessioned.none.fl_str_mv 2024-03-18T21:16:02Z
dc.date.available.none.fl_str_mv 2024-03-18T21:16:02Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.citation.spa.fl_str_mv Roberto León, Jaime Velásquez, Gustavo Gatica, Ximena Vargas, Jairo Coronado, New approach of a contact detection algorithm based on a Shortest Link method, Procedia Computer Science, Volume 203, 2022, Pages 655-660, ISSN 1877-0509, https://doi.org/10.1016/j.procs.2022.07.096.
dc.identifier.issn.spa.fl_str_mv 1877-0509
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/11323/10876
dc.identifier.doi.none.fl_str_mv 10.1016/j.procs.2022.07.096
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 Roberto León, Jaime Velásquez, Gustavo Gatica, Ximena Vargas, Jairo Coronado, New approach of a contact detection algorithm based on a Shortest Link method, Procedia Computer Science, Volume 203, 2022, Pages 655-660, ISSN 1877-0509, https://doi.org/10.1016/j.procs.2022.07.096.
1877-0509
10.1016/j.procs.2022.07.096
Corporación Universidad de la Costa
REDICUC – Repositorio CUC
url https://hdl.handle.net/11323/10876
https://repositorio.cuc.edu.co/
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartofjournal.spa.fl_str_mv Procedia Computer Science
dc.relation.references.spa.fl_str_mv [1] Christopher Rives, Daniel J. Lacks. Avalanches and self-organized criticality in simulations of particle piles. Chemical Physics Letters, 370:700–705, 2003.
[2] Erfan G. Nezami, Youssef M. A. Hashash, Dawei Zhao, Jamshid Ghaboussi. Shortest link method for contact detection in discrete element method. INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 30:783–801, 2006.
[3] Erfan G. Nezami, Youssef M.A. Hashash, Dawei Zhao, Jamshid Ghaboussi. A fast contact detection algorithm for 3-D discrete element method. Computers and Geotechnics, 31:575–587, 2004.
[4] Ganghai Huang and Shu Zhang and Yuanzhen X. A sphere-triangle contact model with complex boun- dary face problems. ELSEVIER, journal pre-proof:1–33, 2020.
[5] Kejun Dong, Chuncheng Wang, Aibing Yu. A novel method based on orientation discretization for discrete element modeling of non-spherical particles. ELSEVIER, 126:500–516, 2015.
[6] L. He, X.M. An and Z.Y. Zhao. Development of contact algorithm for three-dimensional numerical manifold method. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 97:423–453, 2014.
[7] P.A.Cundall. Formulation of a Three-dimensional Distinct Element Model Part I. A Scheme to detect and Represent Contacts in a System Composed of Many Polyhedral Blocks. Int. J. Rock Mech. Min. Sci. and Geomech, 25:107–116, 1988.
[8] Peng Huang, Yifei Ding, Qiuhua Miao, Gao Sang, Minping Jia. An improved contact detection algorithm for bonded particles based on multi-level grid and bounding box in DEM simulation. Powder Technology, 374:577–596, 2020.
[9] V. Ogarko, S. Luding. A fast multilevel algorithm for contact detection of arbitrarily polydisperse objects. Computer Physics Communications, 183:931–936, 2023.
[10]Zhengshou Lai, Shiwei Zhao, Jidong Zhao, Linchong Huang. Revisiting the GJK and shape erosion method for contact resolutionin DEM. Powder Technology, 394:363–371, 2021.
dc.relation.citationstartpage.spa.fl_str_mv 660
dc.relation.citationissue.spa.fl_str_mv 655
dc.relation.citationvolume.spa.fl_str_mv 203
dc.rights.eng.fl_str_mv © 2022 The Authors. Published by Elsevier B.V.
dc.rights.license.spa.fl_str_mv Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
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rights_invalid_str_mv Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
© 2022 The Authors. Published by Elsevier B.V.
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eu_rights_str_mv openAccess
dc.format.extent.spa.fl_str_mv 6 páginas
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dc.publisher.spa.fl_str_mv Elsevier BV
dc.publisher.place.spa.fl_str_mv Netherlands
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spelling Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)© 2022 The Authors. Published by Elsevier B.V.https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2León, RobertoVelásquez, JaimeGatica, GustavoVargas, XimenaCoronado, Jairo2024-03-18T21:16:02Z2024-03-18T21:16:02Z2022Roberto León, Jaime Velásquez, Gustavo Gatica, Ximena Vargas, Jairo Coronado, New approach of a contact detection algorithm based on a Shortest Link method, Procedia Computer Science, Volume 203, 2022, Pages 655-660, ISSN 1877-0509, https://doi.org/10.1016/j.procs.2022.07.096.1877-0509https://hdl.handle.net/11323/1087610.1016/j.procs.2022.07.096Corporación Universidad de la CostaREDICUC – Repositorio CUChttps://repositorio.cuc.edu.co/Contact detection algorithms based on a Common Plane (CP) are among the most used and investigated, despite not being the most optimal when generating a CP and thus detecting the existence of contact between particles. The generation of the CP is quite expensive in computational terms, for which some algorithms seek to check a possibility of contact between them quickly; and then verify it. For these cases, there are algorithms such as the Shortest Link Method (SLM) that efficiently generate a CP and quickly verify the existence of contact between particles. However, this algorithm has some shortcomings. The main reason for this research is to create a new algorithm based on SLM that can work without its disadvantages.6 páginasapplication/pdfengElsevier BVNetherlandshttps://www.sciencedirect.com/science/article/pii/S1877050922007013New approach of a contact detection algorithm based on a Shortest Link methodArtículo de revistahttp://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85Procedia Computer Science[1] Christopher Rives, Daniel J. Lacks. Avalanches and self-organized criticality in simulations of particle piles. Chemical Physics Letters, 370:700–705, 2003.[2] Erfan G. Nezami, Youssef M. A. Hashash, Dawei Zhao, Jamshid Ghaboussi. Shortest link method for contact detection in discrete element method. INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 30:783–801, 2006.[3] Erfan G. Nezami, Youssef M.A. Hashash, Dawei Zhao, Jamshid Ghaboussi. A fast contact detection algorithm for 3-D discrete element method. Computers and Geotechnics, 31:575–587, 2004.[4] Ganghai Huang and Shu Zhang and Yuanzhen X. A sphere-triangle contact model with complex boun- dary face problems. ELSEVIER, journal pre-proof:1–33, 2020.[5] Kejun Dong, Chuncheng Wang, Aibing Yu. A novel method based on orientation discretization for discrete element modeling of non-spherical particles. ELSEVIER, 126:500–516, 2015.[6] L. He, X.M. An and Z.Y. Zhao. Development of contact algorithm for three-dimensional numerical manifold method. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 97:423–453, 2014.[7] P.A.Cundall. Formulation of a Three-dimensional Distinct Element Model Part I. A Scheme to detect and Represent Contacts in a System Composed of Many Polyhedral Blocks. Int. J. Rock Mech. Min. Sci. and Geomech, 25:107–116, 1988.[8] Peng Huang, Yifei Ding, Qiuhua Miao, Gao Sang, Minping Jia. An improved contact detection algorithm for bonded particles based on multi-level grid and bounding box in DEM simulation. Powder Technology, 374:577–596, 2020.[9] V. Ogarko, S. Luding. A fast multilevel algorithm for contact detection of arbitrarily polydisperse objects. Computer Physics Communications, 183:931–936, 2023.[10]Zhengshou Lai, Shiwei Zhao, Jidong Zhao, Linchong Huang. Revisiting the GJK and shape erosion method for contact resolutionin DEM. Powder Technology, 394:363–371, 2021.660655203Contact detectionShortest kinkCommon planePublicationORIGINALNew approach of a contact detection algorithm based on a Shortest Link method.pdfNew approach of a contact detection algorithm based on a Shortest Link method.pdfArtículoapplication/pdf1068366https://repositorio.cuc.edu.co/bitstreams/2f3f7a7c-17d8-4b83-9c0b-dec917d6c937/download0e9aedb104bd5f8ef8386f3fd4e36012MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-814828https://repositorio.cuc.edu.co/bitstreams/4b5c2f69-8d56-4e7e-8bcb-885802bf54c0/download2f9959eaf5b71fae44bbf9ec84150c7aMD52TEXTNew approach of a contact detection algorithm based on a Shortest Link method.pdf.txtNew approach of a contact detection algorithm based on a Shortest Link method.pdf.txtExtracted texttext/plain21383https://repositorio.cuc.edu.co/bitstreams/995f01e0-cb83-420b-9808-39f121dd7822/downloade1e23b9a4bdf7325477e20fe51e1ee98MD53THUMBNAILNew approach of a contact detection algorithm based on a Shortest Link method.pdf.jpgNew approach of a contact detection algorithm based on a Shortest Link method.pdf.jpgGenerated Thumbnailimage/jpeg11038https://repositorio.cuc.edu.co/bitstreams/724da444-f815-488b-9374-391dfa04fcc6/downloadc7179c29d3fda78d5d95270c92dbbeb0MD5411323/10876oai:repositorio.cuc.edu.co:11323/108762024-09-16 16:35:32.472https://creativecommons.org/licenses/by-nc-nd/4.0/© 2022 The Authors. Published by Elsevier B.V.open.accesshttps://repositorio.cuc.edu.coRepositorio de la Universidad de la Costa 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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.
