An approach for 2D modelling of laterally loaded piles
Despite a considerable progress in the analysis and design of monopiles, many methods are based on complex mathematical structures with doubtful or hard assumptions to verify. Therefore, there is still a need for simple and yet accurate methods for the analysis of monopiles under drained and undrain...
- Autores:
-
Ochmański, M.
Mašín, D.
Duque, J.
- 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:11323/10355
- Acceso en línea:
- https://hdl.handle.net/11323/10355
https://repositorio.cuc.edu.co/
- Palabra clave:
- Numerical modelling
Pile equivalent stiffness
Lateral cyclic loading
Soil-structure interaction
- Rights
- openAccess
- License
- Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
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dc.title.eng.fl_str_mv |
An approach for 2D modelling of laterally loaded piles |
title |
An approach for 2D modelling of laterally loaded piles |
spellingShingle |
An approach for 2D modelling of laterally loaded piles Numerical modelling Pile equivalent stiffness Lateral cyclic loading Soil-structure interaction |
title_short |
An approach for 2D modelling of laterally loaded piles |
title_full |
An approach for 2D modelling of laterally loaded piles |
title_fullStr |
An approach for 2D modelling of laterally loaded piles |
title_full_unstemmed |
An approach for 2D modelling of laterally loaded piles |
title_sort |
An approach for 2D modelling of laterally loaded piles |
dc.creator.fl_str_mv |
Ochmański, M. Mašín, D. Duque, J. |
dc.contributor.author.none.fl_str_mv |
Ochmański, M. Mašín, D. Duque, J. |
dc.subject.proposal.eng.fl_str_mv |
Numerical modelling Pile equivalent stiffness Lateral cyclic loading Soil-structure interaction |
topic |
Numerical modelling Pile equivalent stiffness Lateral cyclic loading Soil-structure interaction |
description |
Despite a considerable progress in the analysis and design of monopiles, many methods are based on complex mathematical structures with doubtful or hard assumptions to verify. Therefore, there is still a need for simple and yet accurate methods for the analysis of monopiles under drained and undrained lateral cyclic loading conditions. In this work, a simple yet efficient two-dimensional modelling approach for the analysis of monopiles is proposed. To account for out-of-plane frictional forces, counter-forces derived from virtual frictional forces generated at the out-of-plane pile interface are applied along the pile length together with the scaled pile stiffness. The predictive capabilities of the proposed approach were validated by back-calculating two different experimental sets. The first consists of a small-scale field monopile test on a coarse-grained soil subjected to lateral cyclic loading under drained conditions. The second is a centrifuge test involving a fine-grained soil subjected to lateral cyclic loading under practically undrained conditions. Simulation results with the proposed approach suggest an accurate prediction of pile displacements and bending moments under both drained and undrained lateral cyclic conditions. The method is, however, unable to reproduce pore water pressures generated behind the pile in low permeability materials. |
publishDate |
2023 |
dc.date.accessioned.none.fl_str_mv |
2023-08-01T19:40:10Z |
dc.date.available.none.fl_str_mv |
2023-08-01T19:40:10Z |
dc.date.issued.none.fl_str_mv |
2023 |
dc.type.spa.fl_str_mv |
Artículo de revista |
dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
dc.type.content.spa.fl_str_mv |
Text |
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info:eu-repo/semantics/article |
dc.type.redcol.spa.fl_str_mv |
http://purl.org/redcol/resource_type/ART |
dc.type.version.spa.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
format |
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publishedVersion |
dc.identifier.citation.spa.fl_str_mv |
M. Ochmański, D. Mašín, J. Duque, An approach for 2D modelling of laterally loaded piles, Soils and Foundations, Volume 63, Issue 1, 2023, 101263, ISSN 0038-0806, https://doi.org/10.1016/j.sandf.2022.101263 |
dc.identifier.issn.spa.fl_str_mv |
0038-0806 |
dc.identifier.uri.none.fl_str_mv |
https://hdl.handle.net/11323/10355 |
dc.identifier.doi.none.fl_str_mv |
10.1016/j.sandf.2022.101263 |
dc.identifier.eissn.spa.fl_str_mv |
2524-1788 |
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 |
M. Ochmański, D. Mašín, J. Duque, An approach for 2D modelling of laterally loaded piles, Soils and Foundations, Volume 63, Issue 1, 2023, 101263, ISSN 0038-0806, https://doi.org/10.1016/j.sandf.2022.101263 0038-0806 10.1016/j.sandf.2022.101263 2524-1788 Corporación Universidad de la Costa REDICUC - Repositorio CUC |
url |
https://hdl.handle.net/11323/10355 https://repositorio.cuc.edu.co/ |
dc.language.iso.spa.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartofjournal.spa.fl_str_mv |
Soils and Foundations |
dc.relation.references.spa.fl_str_mv |
Ali, R., Idriss, R., Allaoua, B., Fahim, K., 2016. Comparison between 2d and 3d analysis of a mono-pile under lateral cyclic load. 5e`me Congre`s Maghre´bin en Inge´nierie Ge´otechnique, Marrakesh, Morocco, pp. 1–9. Balakumar, V., Huang, M., Oh, E., Balasubramaniam, A., 2018. A critical and comparative study on 2d and 3d analyses of raft and piled raft foundations. Geotech. Eng. J. SEAGS AGSSEA 49 (1), 150–164. Bauer, E., 1996. Calibration of a comprehensive hypoplastic model for granular materials. Soils Found. 36 (1), 13–26. Chen, L., Yang, X., Li, L., Wu, W., Naggar, M., Wang, K., Chen, J., 2020. Numerical analysis of the deformation performance of monopile under wave and current load. Energies 13 (23), 6431. Colmenar, A., Perera, J., Borge, D., Palacio, C., 2016. Offshore wind energy: A review of the current status, challenges and future development in spain. Renew. Sustain. Energy Rev. 64, 1–18. Duque, J., Fuentes, W., Barros, J., 2020. Effect of grain size distribution on the maximum and minimum void ratios of granular soils. Acta Geotechnica Slovenica 17 (2), 26–33. Duque, J., Masˇ´ın, D., Fuentes, W., 2020. Improvement to the intergranular strain model for larger numbers of repetitive cycles. Acta Geotech. 15, 3593–3604. Duque, J., Ochmanski, M., Masˇ´ın, D., Hong, Y., Wang, L., 2021. On the behavior of monopiles subjected to multiple episodes of cyclic loading and reconsolidation in cohesive soils. Comput. Geotech. 134, 104049. Duque, J., Roha´c, J., Masˇ´ın, D., Najser, J., 2022. Experimental investigation on malaysian kaolin under monotonic and cyclic loading: inspection of undrained miner’s rule and drained cyclic preloading. Acta Geotech. https://doi.org/10.1007/s11440-022-01643-0. Esteban, M., Diez, J., Lo´pez, M., Negro, V., 2009. Integral management applied to offshore wind farms. J. Coastal Res. 56, 1204–1208. Fuentes, W., Masˇ´ın, D., Duque, J., 2021. Constitutive model for monotonic and cyclic loading on anisotropic clays. Ge´otechnique 71 (8), 657–673. Gil, M., 2020. An alternative p-y model for the simulation of large diameter offshore monopiles for wind turbines founded on granular soils under monotonic and cyclic loading. University del Norte, Master Thesis. Gudehus, G., Amorosi, A., Gens, A., Herle, I., Kolymbas, D., Masˇ´ın, D., Wood, D.M., Niemunis, A., Nova, R., Pastor, M., Tamagnini, C., Viggiani, G., 2008. The soilmodels.info project. Int. J. Numer. Anal. Meth. Geomech. 32 (12), 1571–1572. Gupta, B., Basu, D., 2020. Offshore wind turbine monopile foundations: Design perspectives. Ocean Eng. 213, 107514. Herle, I., Gudehus, G., 1999. Determination of parameters of a hypoplastic constitutive model from properties of grain assemblies. Mech. Cohesive-frictional Mater. 4 (5), 461–486. Hong, Y., Soomro, M., Ng, C., Wang, L., Yan, J., Li, B., 2015. Tunnelling under pile groups and rafts: Numerical parametric study on tension effects. Comput. Geotech. 68, 54–65. Houlsby, G., 2016. Interactions in offshore foundation design. Ge´otechnique 66 (10), 791–825. Hsien, L., 2003. Finite element study of 2D equivalence to 3D analysis of a discrete soil nail problem with applications to serviceability design. National University of Singapore, PhD thesis. Igoe, D., & and, K.G. (2019), ‘Characterization of the blessington sand geotechnical test site’, AIMS Geosciences 5(2), 145–162. Jenck, O., Obaei, A., Emeriault, F., Dano, C., 2021. Effect of horizontal multidirectional cyclic loading on piles in sand: A numerical analysis. J. Marine Sci. Eng. 9 (2), 1–22. Kadlı´cek, T., 2019. Parameters identification of advanced constitutive models of soils. Czech Technical University in Prague, PhD thesis. Kirkwood, P. Haigh, S., 2014, Centrifuge testing of monopiles subject to cyclic lateral loading. In: Proceedings of the International Conference on Physical Modelling in Geotechnics’, Taylor and Francis, London, UK, pp. 827–831. Kwaak, B., 2015. ‘Modelling of dynamic pile behaviour during an earthquake using plaxis 2d. Delft University of Technology, Embedded beam (row)’, Master Thesis. Lai, Y., Wang, L., Hong, Y., He, B., 2020. Centrifuge modeling of the cyclic lateral behavior of large-diameter monopiles in soft clay: Effects of episodic cycling and reconsolidation. Ocean Eng. 200, 107048. Li, W., Gavin, K., Igoe, D., 2015. Field tests to investigate the cyclic response of monopiles in sand. Proc. ICE - Geotech. Eng. 168 (5), 407– 421. Li, W., Zhu, B., Yang, M., 2017. Static response of monopile to lateral load in overconsolidated dense sand. J. Geotech. Geoenviron. Eng. 143 (7), 04017026. Littleton, I., 1976. An experimental study of the adhesion between clay and steel. J. Terrramech. 13 (3), 141–152. Malekjafarian, A., Jalilvand, S., Doherty, P., Igoe, D., 2021. Foundation damping for monopile supported offshore wind turbines: A review. Marine Struct. 77, 102937. Masˇ´ın, D., 2013. Clay hypoplasticity with explicitly defined asymptotic states. Acta Geotech. 8 (5), 481–496. Masˇ´ın, D., 2014. Clay hypoplasticity model including stiffness anisotropy. Ge´otechnique 64 (3), 232–238. Negro, V., Lo´pez, J., Dolores, M., Alberdi, P., Imaz, M., Serraclara, M., 2017. Monopiles in offshore wind: Preliminary estimate of main dimensions. Ocean Eng. 133, 253–261. Niemunis, A., Herle, I., 1997. Hypoplastic model for cohesionless soils with elastic strain range. Mech. Cohesive-frictional Mater. 2 (4), 279– 299. Ochmanski, M., Masˇ´ın, D., Duque, J., Hong, Y., Wang, L., 2021. Performance of tripod foundations for offshore wind turbines: a numerical study. Ge´otech. Lett. 11 (3), 230–238. Ong, D., 2008. Benchmarking of fem technique involving deep excavation, pilesoil interaction and embankment construction. The 12th International Conference of International Association for Computer Methods and Advances in Geomechanics (IACMAG), Goa, India, pp. 154–162. Page, A., Grimstad, G., Eiksund, G., Jostad, H., 2019. A macro-element model for multidirectional cyclic lateral loading of monopiles in clay. Comput. Geotech. 106, 314–326. Staubach, P., Wichtmann, T., 2020. Long-term deformations of monopile foundations for offshore wind turbines studied with a high-cycle accumulation model. Comput. Geotech. 124, 103553. Tochnog, 2020. Tochnog professional user’s manual, http://tochnogprofessional.nl/. Accessed: 08-25-2020. Tolooiyan, A., Gavin, K., 2010. Finite element analysis of the cpt for design of bored piles. 2nd International Symposium on Cone Penetration Testing, Huntington Beach, CA, USA, pp. 3–43. Wichtmann, T., 2016. Soil behaviour under cyclic loading: Experimental observations, constitutive description and applications, Habilitation, Karlsruhe Institute of Technology (KIT). Wolffersdorff, P.-A.V., 1996. A hypoplastic relation for granular materials with a predefined limit state surface. Mech. Cohesive-frictional Mater. 1 (3), 251–271. |
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© 2023 Production and hosting by Elsevier B.V. on behalf of The Japanese Geotechnical Society. |
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Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0) |
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Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0) © 2023 Production and hosting by Elsevier B.V. on behalf of The Japanese Geotechnical Society. https://creativecommons.org/licenses/by-nc-nd/4.0/ http://purl.org/coar/access_right/c_abf2 |
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Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)© 2023 Production and hosting by Elsevier B.V. on behalf of The Japanese Geotechnical Society.https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Ochmański, M.Mašín, D.Duque, J.2023-08-01T19:40:10Z2023-08-01T19:40:10Z2023M. Ochmański, D. Mašín, J. Duque, An approach for 2D modelling of laterally loaded piles, Soils and Foundations, Volume 63, Issue 1, 2023, 101263, ISSN 0038-0806, https://doi.org/10.1016/j.sandf.2022.1012630038-0806https://hdl.handle.net/11323/1035510.1016/j.sandf.2022.1012632524-1788Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/Despite a considerable progress in the analysis and design of monopiles, many methods are based on complex mathematical structures with doubtful or hard assumptions to verify. Therefore, there is still a need for simple and yet accurate methods for the analysis of monopiles under drained and undrained lateral cyclic loading conditions. In this work, a simple yet efficient two-dimensional modelling approach for the analysis of monopiles is proposed. To account for out-of-plane frictional forces, counter-forces derived from virtual frictional forces generated at the out-of-plane pile interface are applied along the pile length together with the scaled pile stiffness. The predictive capabilities of the proposed approach were validated by back-calculating two different experimental sets. The first consists of a small-scale field monopile test on a coarse-grained soil subjected to lateral cyclic loading under drained conditions. The second is a centrifuge test involving a fine-grained soil subjected to lateral cyclic loading under practically undrained conditions. Simulation results with the proposed approach suggest an accurate prediction of pile displacements and bending moments under both drained and undrained lateral cyclic conditions. The method is, however, unable to reproduce pore water pressures generated behind the pile in low permeability materials.17 páginasapplication/pdfengJapanese Geotechnical SocietyJapanhttps://www.sciencedirect.com/science/article/pii/S0038080622001718An approach for 2D modelling of laterally loaded pilesArtículo 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_970fb48d4fbd8a85Soils and FoundationsAli, R., Idriss, R., Allaoua, B., Fahim, K., 2016. Comparison between 2d and 3d analysis of a mono-pile under lateral cyclic load. 5e`me Congre`s Maghre´bin en Inge´nierie Ge´otechnique, Marrakesh, Morocco, pp. 1–9.Balakumar, V., Huang, M., Oh, E., Balasubramaniam, A., 2018. A critical and comparative study on 2d and 3d analyses of raft and piled raft foundations. Geotech. Eng. J. SEAGS AGSSEA 49 (1), 150–164.Bauer, E., 1996. Calibration of a comprehensive hypoplastic model for granular materials. Soils Found. 36 (1), 13–26.Chen, L., Yang, X., Li, L., Wu, W., Naggar, M., Wang, K., Chen, J., 2020. Numerical analysis of the deformation performance of monopile under wave and current load. Energies 13 (23), 6431.Colmenar, A., Perera, J., Borge, D., Palacio, C., 2016. Offshore wind energy: A review of the current status, challenges and future development in spain. Renew. Sustain. Energy Rev. 64, 1–18.Duque, J., Fuentes, W., Barros, J., 2020. Effect of grain size distribution on the maximum and minimum void ratios of granular soils. Acta Geotechnica Slovenica 17 (2), 26–33.Duque, J., Masˇ´ın, D., Fuentes, W., 2020. Improvement to the intergranular strain model for larger numbers of repetitive cycles. Acta Geotech. 15, 3593–3604.Duque, J., Ochmanski, M., Masˇ´ın, D., Hong, Y., Wang, L., 2021. On the behavior of monopiles subjected to multiple episodes of cyclic loading and reconsolidation in cohesive soils. Comput. Geotech. 134, 104049.Duque, J., Roha´c, J., Masˇ´ın, D., Najser, J., 2022. Experimental investigation on malaysian kaolin under monotonic and cyclic loading: inspection of undrained miner’s rule and drained cyclic preloading. Acta Geotech. https://doi.org/10.1007/s11440-022-01643-0.Esteban, M., Diez, J., Lo´pez, M., Negro, V., 2009. Integral management applied to offshore wind farms. J. Coastal Res. 56, 1204–1208.Fuentes, W., Masˇ´ın, D., Duque, J., 2021. Constitutive model for monotonic and cyclic loading on anisotropic clays. Ge´otechnique 71 (8), 657–673.Gil, M., 2020. An alternative p-y model for the simulation of large diameter offshore monopiles for wind turbines founded on granular soils under monotonic and cyclic loading. University del Norte, Master Thesis.Gudehus, G., Amorosi, A., Gens, A., Herle, I., Kolymbas, D., Masˇ´ın, D., Wood, D.M., Niemunis, A., Nova, R., Pastor, M., Tamagnini, C., Viggiani, G., 2008. The soilmodels.info project. Int. J. Numer. Anal. Meth. Geomech. 32 (12), 1571–1572.Gupta, B., Basu, D., 2020. Offshore wind turbine monopile foundations: Design perspectives. Ocean Eng. 213, 107514.Herle, I., Gudehus, G., 1999. Determination of parameters of a hypoplastic constitutive model from properties of grain assemblies. Mech. Cohesive-frictional Mater. 4 (5), 461–486.Hong, Y., Soomro, M., Ng, C., Wang, L., Yan, J., Li, B., 2015. Tunnelling under pile groups and rafts: Numerical parametric study on tension effects. Comput. Geotech. 68, 54–65.Houlsby, G., 2016. Interactions in offshore foundation design. Ge´otechnique 66 (10), 791–825.Hsien, L., 2003. Finite element study of 2D equivalence to 3D analysis of a discrete soil nail problem with applications to serviceability design. National University of Singapore, PhD thesis.Igoe, D., & and, K.G. (2019), ‘Characterization of the blessington sand geotechnical test site’, AIMS Geosciences 5(2), 145–162.Jenck, O., Obaei, A., Emeriault, F., Dano, C., 2021. Effect of horizontal multidirectional cyclic loading on piles in sand: A numerical analysis. J. Marine Sci. Eng. 9 (2), 1–22.Kadlı´cek, T., 2019. Parameters identification of advanced constitutive models of soils. Czech Technical University in Prague, PhD thesis.Kirkwood, P. Haigh, S., 2014, Centrifuge testing of monopiles subject to cyclic lateral loading. In: Proceedings of the International Conference on Physical Modelling in Geotechnics’, Taylor and Francis, London, UK, pp. 827–831.Kwaak, B., 2015. ‘Modelling of dynamic pile behaviour during an earthquake using plaxis 2d. Delft University of Technology, Embedded beam (row)’, Master Thesis.Lai, Y., Wang, L., Hong, Y., He, B., 2020. Centrifuge modeling of the cyclic lateral behavior of large-diameter monopiles in soft clay: Effects of episodic cycling and reconsolidation. Ocean Eng. 200, 107048.Li, W., Gavin, K., Igoe, D., 2015. Field tests to investigate the cyclic response of monopiles in sand. Proc. ICE - Geotech. Eng. 168 (5), 407– 421.Li, W., Zhu, B., Yang, M., 2017. Static response of monopile to lateral load in overconsolidated dense sand. J. Geotech. Geoenviron. Eng. 143 (7), 04017026.Littleton, I., 1976. An experimental study of the adhesion between clay and steel. J. Terrramech. 13 (3), 141–152.Malekjafarian, A., Jalilvand, S., Doherty, P., Igoe, D., 2021. Foundation damping for monopile supported offshore wind turbines: A review. Marine Struct. 77, 102937.Masˇ´ın, D., 2013. Clay hypoplasticity with explicitly defined asymptotic states. Acta Geotech. 8 (5), 481–496.Masˇ´ın, D., 2014. Clay hypoplasticity model including stiffness anisotropy. Ge´otechnique 64 (3), 232–238.Negro, V., Lo´pez, J., Dolores, M., Alberdi, P., Imaz, M., Serraclara, M., 2017. Monopiles in offshore wind: Preliminary estimate of main dimensions. Ocean Eng. 133, 253–261.Niemunis, A., Herle, I., 1997. Hypoplastic model for cohesionless soils with elastic strain range. Mech. Cohesive-frictional Mater. 2 (4), 279– 299.Ochmanski, M., Masˇ´ın, D., Duque, J., Hong, Y., Wang, L., 2021. Performance of tripod foundations for offshore wind turbines: a numerical study. Ge´otech. Lett. 11 (3), 230–238.Ong, D., 2008. Benchmarking of fem technique involving deep excavation, pilesoil interaction and embankment construction. The 12th International Conference of International Association for Computer Methods and Advances in Geomechanics (IACMAG), Goa, India, pp. 154–162.Page, A., Grimstad, G., Eiksund, G., Jostad, H., 2019. A macro-element model for multidirectional cyclic lateral loading of monopiles in clay. Comput. Geotech. 106, 314–326.Staubach, P., Wichtmann, T., 2020. Long-term deformations of monopile foundations for offshore wind turbines studied with a high-cycle accumulation model. Comput. Geotech. 124, 103553. Tochnog, 2020. Tochnog professional user’s manual, http://tochnogprofessional.nl/. Accessed: 08-25-2020.Tolooiyan, A., Gavin, K., 2010. Finite element analysis of the cpt for design of bored piles. 2nd International Symposium on Cone Penetration Testing, Huntington Beach, CA, USA, pp. 3–43.Wichtmann, T., 2016. Soil behaviour under cyclic loading: Experimental observations, constitutive description and applications, Habilitation, Karlsruhe Institute of Technology (KIT).Wolffersdorff, P.-A.V., 1996. A hypoplastic relation for granular materials with a predefined limit state surface. Mech. Cohesive-frictional Mater. 1 (3), 251–271.163Numerical modellingPile equivalent stiffnessLateral cyclic loadingSoil-structure interactionPublicationORIGINALAn approach for 2D modelling of laterally loaded piles.pdfAn approach for 2D modelling of laterally loaded piles.pdfArtículoapplication/pdf9162215https://repositorio.cuc.edu.co/bitstreams/6e3868a6-093e-4c71-a6c4-5162cdb0a45c/download480a1a495bdead01597daaee80c48cddMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-814828https://repositorio.cuc.edu.co/bitstreams/5bc70896-4381-4611-85c9-66256f15dba9/download2f9959eaf5b71fae44bbf9ec84150c7aMD52TEXTAn approach for 2D modelling of laterally loaded piles.pdf.txtAn approach for 2D modelling of laterally loaded piles.pdf.txtExtracted texttext/plain62218https://repositorio.cuc.edu.co/bitstreams/b8722e33-f109-4fb8-b6b1-20c235639334/download3a4ff8f6a534c0f62e1148e33aca7bedMD53THUMBNAILAn approach for 2D modelling of laterally loaded piles.pdf.jpgAn approach for 2D modelling of laterally 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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.
 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