Análisis de la rotura de gravas usando la técnica de análisis de imágenes DPIV teniendo en cuenta los efectos de forma
ilustraciones, diagramas, fotografías
- Autores:
-
Guerrero Mendoza, Wrangel Eduardo
- Tipo de recurso:
- Fecha de publicación:
- 2024
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/86084
- Palabra clave:
- 620 - Ingeniería y operaciones afines::624 - Ingeniería civil
DPIV
Rotura
Esfuerzo
Ensamble granular
DPIV
Breakage
Stress
Granular assembly
Tecnología de materiales
Materials engineering
Geotecnia
Velocimetría de imágenes de partículas
geotechnical engineering
particle image velocimetry
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Análisis de la rotura de gravas usando la técnica de análisis de imágenes DPIV teniendo en cuenta los efectos de forma |
| dc.title.translated.eng.fl_str_mv |
Analysis of gravel breakage using the DPIV image analysis technique taking into account shape effects |
| title |
Análisis de la rotura de gravas usando la técnica de análisis de imágenes DPIV teniendo en cuenta los efectos de forma |
| spellingShingle |
Análisis de la rotura de gravas usando la técnica de análisis de imágenes DPIV teniendo en cuenta los efectos de forma 620 - Ingeniería y operaciones afines::624 - Ingeniería civil DPIV Rotura Esfuerzo Ensamble granular DPIV Breakage Stress Granular assembly Tecnología de materiales Materials engineering Geotecnia Velocimetría de imágenes de partículas geotechnical engineering particle image velocimetry |
| title_short |
Análisis de la rotura de gravas usando la técnica de análisis de imágenes DPIV teniendo en cuenta los efectos de forma |
| title_full |
Análisis de la rotura de gravas usando la técnica de análisis de imágenes DPIV teniendo en cuenta los efectos de forma |
| title_fullStr |
Análisis de la rotura de gravas usando la técnica de análisis de imágenes DPIV teniendo en cuenta los efectos de forma |
| title_full_unstemmed |
Análisis de la rotura de gravas usando la técnica de análisis de imágenes DPIV teniendo en cuenta los efectos de forma |
| title_sort |
Análisis de la rotura de gravas usando la técnica de análisis de imágenes DPIV teniendo en cuenta los efectos de forma |
| dc.creator.fl_str_mv |
Guerrero Mendoza, Wrangel Eduardo |
| dc.contributor.advisor.spa.fl_str_mv |
Tapias Camacho, Mauricio Alberto |
| dc.contributor.author.spa.fl_str_mv |
Guerrero Mendoza, Wrangel Eduardo |
| dc.contributor.researchgroup.spa.fl_str_mv |
Geotechnical Engineering Knowledge and Innovation Genki |
| dc.subject.ddc.spa.fl_str_mv |
620 - Ingeniería y operaciones afines::624 - Ingeniería civil |
| topic |
620 - Ingeniería y operaciones afines::624 - Ingeniería civil DPIV Rotura Esfuerzo Ensamble granular DPIV Breakage Stress Granular assembly Tecnología de materiales Materials engineering Geotecnia Velocimetría de imágenes de partículas geotechnical engineering particle image velocimetry |
| dc.subject.proposal.spa.fl_str_mv |
DPIV Rotura Esfuerzo Ensamble granular |
| dc.subject.proposal.eng.fl_str_mv |
DPIV Breakage Stress Granular assembly |
| dc.subject.unesco.spa.fl_str_mv |
Tecnología de materiales |
| dc.subject.unesco.eng.fl_str_mv |
Materials engineering |
| dc.subject.wikidata.spa.fl_str_mv |
Geotecnia Velocimetría de imágenes de partículas |
| dc.subject.wikidata.eng.fl_str_mv |
geotechnical engineering particle image velocimetry |
| description |
ilustraciones, diagramas, fotografías |
| publishDate |
2024 |
| dc.date.accessioned.none.fl_str_mv |
2024-05-14T20:36:16Z |
| dc.date.available.none.fl_str_mv |
2024-05-14T20:36:16Z |
| dc.date.issued.none.fl_str_mv |
2024-05-14 |
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Trabajo de grado - Maestría |
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info:eu-repo/semantics/masterThesis |
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info:eu-repo/semantics/acceptedVersion |
| dc.type.content.spa.fl_str_mv |
Text |
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http://purl.org/redcol/resource_type/TM |
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acceptedVersion |
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https://repositorio.unal.edu.co/handle/unal/86084 |
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Universidad Nacional de Colombia |
| dc.identifier.reponame.spa.fl_str_mv |
Repositorio Institucional Universidad Nacional de Colombia |
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https://repositorio.unal.edu.co/ |
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https://repositorio.unal.edu.co/handle/unal/86084 https://repositorio.unal.edu.co/ |
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Universidad Nacional de Colombia Repositorio Institucional Universidad Nacional de Colombia |
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spa |
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spa |
| dc.relation.references.spa.fl_str_mv |
Adrian, R. J. (1988). Statistical properties of particle image velocimetry measurements in turbulent flow. 4th International Symposia on Laser Techniques to Fluid Mechanics, 11-14. Adrian, R. J. (2005). Twenty years of Particle Image Velocimetry. Experiments in Fluids, 159-169. https://doi.org/10.1007/s00348-005-0991-7 Agüí, J., & Jiménez, J. (1987). On the performance of Particle Tracking. J Fluid Mech, 447- 468. https://doi.org/10.1017/S0022112087003252 Alonso, E., & Oldecop, L. (2007). Theoretical investigation of the time-dependent behaviour of rockfill. Géotechnique, 289-301. André, M. A., & Bardet, P. M. (2015). Interfacial shear stress measurement using high spatial resolution mmultphase PIV. Exp Fluids. https://doi.org/10.1007/s00348-015- 2006-7 Ansys® Academic Research Mechanical. (2023). Ansys. https://www.ansys.com/ ASTM. (2020). Standard Practice for Classification of Soils for Engineering Purposes (Unified Soil Classification System). En ASTM. Baastiaans, R. (1993). Cross-correlation PIV: Theory, implementation and accuracy. Technische Universiteit Einfhoven Reports. Bagi, K. (1996a). Geometrical modelling of granular assemblies. Acta Technica Academiae Scientiarum Hungaricae, 1-16. Bagi, K. (1996b). Stress and strain in granular assemblies. Mechanics of Materials, 165- 177. Bagi, K. (1999). Microstructural Stress Tensor of Granular Assemblies With Volume Forces. Journal of Applied Mechanics, 934-936. Bagi, K. (2004). Granular mechanics special issue. International Journal of Solids and Structures, 5761-5762. Bourke, P. (August de 1996). Cross Correlation - Autocorrelation - 2D Pattern Identification. http://paulbourke.net/miscellaneous/correlate/ Bracewell, R. (1999). The Fourier Transform and Its Applications, 3rd edition. New York: McGraw Hill. Bridgwater, J. (2007). Particle Breakage due to Bulk Shear. En Handbook of Powder Technology (págs. 87-117). Cambridge. Brossard, C., Monnier, J., Barricau, P., Vaandernoot, F., Le Sant, Y., Champagnat, F., & Le Besnerais, G. (2009). Principles and Applications of Particle Image Velocimetry. AerospaceLab, 1-11. DIGITAL WAVE LTD. (2023). Free Video to JPG Converter. DVDVideoSoft: https://www.dvdvideosoft.com/es/products/dvd/Free-Video-to-JPG-Converter.htm Duan, X.-f., Wang, Y.-z., & Yuan, X.-m. (2018). State-of-Art Review of Particle Image Velocimetry (PIV) in Geotechnical Engineering. 2018 International Conference on Applied Mechanics, Mathematics, Modeling and Simulation (AMMMS 2018). Forliti, D., Strykowski, P., & Debatin, K. (2000). Bias and precision errors of digital particle image velocimetry. Experiments Of Fluids, 436-447. Gollin, D., Brevis, W., Bowman, E. T., & Shepley, P. (2017). Performance of PIV and PTV for granular flow measurements. Granular Matter. https://doi.org/10.1007/s10035- 017-0730-9 Hecht, E., & Zajac, A. (2001). Optics. Massachusetts: Addison-Wesley Pub. Company. Hiramatsu, Y., & Oka, Y. (1966). Determination of the tensile strength of rock by a compression test of an irregular test piece. International Journal of Rock Mechanics and Mining Sciences, 89-90. Instituto Nacional de Vías - INVIAS. (2012). Manual de Normas de Ensayo de Materiales para Carreteras . Kim, J., Woo, S. I., & Chung, C.-K. (2018). Assessmment of Non-uniform Deformation During Consolidation with Lateral Drainage using Particle Image Velocimetry (PIV). KSCE Journnal of Civil Engineering, 520-531. Kwan, J., Sun, W., Lam, C., & Koo, R. (2016). Recent advances in landslide risk management measures in Hong Kong. Landslides and Engineered Slopes. Experience, Theory and Practice: Proceedings of the 12th International Symposium on Landslides. Napoles, Italia. Liang, C., Liu, J., Wu, Y., Chen, Z., Luo, R., Zheng, J., & Meng, Y. (2022). Experimental Study on Soil Deformation during Sammpler Penetration. KSCE Journal of Civil Engineering, 1080-1088 Manso, J., Marcelino, J., & Caldeira, L. (2018). Crushing and oedometer compression of rockfill using DEM. Computers and Geotechnics, 11-22. Nakata, Y., Hyodo, M., Hyde, A., Kato, Y., & Murata, H. (2001). Microscopic particle crushing of sand subjected to high pressure one-dimensional compression. Soils Found., 69-82. Pereria, R. A., Gomes, F. C., Braga Júnior, R. A., & Rivera, F. P. (2018). Analysis of elasticity in woods submited to the static bending test using the Particle Image Velocimetry (PIV) technique. Engenharia Agrícola, Jaboticabal, v. 38, 159-165. Pereria, R. A., Gomes, F. C., Braga Júnior, R. A., & Rivera, F. P. (2019). Displacement measurement in sawn wood and wood panel beams using Particle Image Velocimetry. CERNE, 110-118. https://doi.org/10.1590/010477602014925012619 Prasad, A. K. (2000). Particle Image Velocimetry. Current Science, 79, 51-60. RAE. (2023). Diccionario de la lengua española. https://dle.rae.es/ Raffel, M., Willert, C., Scarano, F., Kähler, C., Wereley, S., & Kompenhans, J. (2017). Particle Image Velocimetry A Practical Guide. Göttingen, Germany: Springer International Publishing AG. Ruiz Morales, A. E. (2014). Evaluación del PIV como método de medida en geotecnia [Tesis de maestría, Universitat Politècnica de Catalunya]. Repositorio institucional: Màsters oficials - Màster universitari en Enginyeria del Terreny i Enginyeria Sísmica. http://hdl.handle.net/2099.1/25452 Russell, A., & Wood, D. (2009). Point load tests and strength measurements for brittle spheres. International Journal of Rock Mechanics and Mining Sciences, 272-280. Scharnowski, S., Hain, R., & Kähler, C. J. (2012). Reynolds stress estimation up to single- pixel resolution using PIV-measurements. Exp Fluids - Springer, 985-1002. https://doi.org/10.1007/s00348-011-1184-1 SEA. (2023). Sociedad Española de Astronomía. Sociedad Española de Astronomía: https://www.sea-astronomia.es/ Slominski, C., Niedostatkiewicz, M., & Tejchman, J. (2007). Application of Particle Image Velocimetry (PIV) for deformation measurement during granular silo flow. Powder Technology, 1-18. Sukkarak, R., Jongpradist, P., & Pramthawee, P. (2019). A modified valley shape factor for the estimation of rockfill dam sttlement. Computers And Geotechnics, 244-256. Támara Sáez, R. A. (2022). Evaluación comparativa entre técnica PIV y Métodos convencionales en la obtención de parámetros elásticos de materiales [Trabajo final de grado]. Universidad Nacional de Colombia. Tapias Camacho, M. A. (2016). Particle model for crushable aggregates which includes size, time and relative humidity effects [Tesis doctoral, Universitat Politècnica de Catalunya]. Repositorio institucional: TDX (Tesis Doctorals en Xarxa). https://doi.org/10.5821/dissertation-2117-106495 Tavares, L. M. (2007). Breakage of Single Particles: Quasi-static. En Handbook of Powder Technology (págs. 3-68). Rio de Janeiro. The MathWorks Inc. (1994-2023). MATLAB. Natick, Massachussets, EEUU. Thielicke, W. (2014). The Flapping Flights of Birds. Phd Thesis. Rijksunversiiteit Groningen. Thielicke, W. (01 de 06 de 2022). Blog: PIVlab - Digital Particle Image Velocimetry Tool for MATLAB. PIVlab is becoming popular: https://pivlab.blogspot.com/2022/06/pivlab- is-becoming-super-popular.html Thielicke, W., & Sonntag, R. (2021). Particle Image Velocimetry for MATLAB: Accuracy and enhanced algorithms in PIVlab. Journal of Open Research Software, Vol 9, 9. https://doi.org/10.5334/jors.334 Toxement. (2022). Toxement - Pegante Ceramico estándar. https://www.toxement.com.co/media/6319/pegante-ceramico-estandar-1.pdf White, D., Take, W., & Bolton, M. (2001). Measuring soil deformation in geotechnical models using digital images and PIV analysis. 10th International Conference on Computer Methods and Advances in Geomechanics, 997-1002 Xiao, Y., Mmeng, M., Daoudaji, A., Chen, Q., Zhijun, W., & Jiang, X. (2018). Effects of particle size on crushing and deformation behaviors of rockfill materials. Geoscience Frontiers. Xu, L., Chen, H.-b., Chen, F.-q., Lin, Y.-j., & Lin, C. (2022). An experimental study of the active failure mechanism of narrow backfills installed behind rigid retaining walls conducted using Geo-PIV. Acta Geotechnica. https://doi.org/10.1007/s11440-021- 01438-9 Zhang, B., Zhang, J., & Sun, G. (2015). Deformation and shear strength of rockfill materials composed of soft siltstones subjected to stress, cyclical drying/wetting and temperature variations. Engineering Geology, 87-97. Zhou, W., Hua, J., Chang, X., & Zhou, C. (2010). Settlement anlysis of the Shuibuya concrete-face rockfill dam. Computers And Geotechnics, 269-280. |
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Bogotá - Ingeniería - Maestría en Ingeniería - Geotecnia |
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Facultad de Ingeniería |
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Bogotá, Colombia |
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Universidad Nacional de Colombia - Sede Bogotá |
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Atribución-NoComercial 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Tapias Camacho, Mauricio Albertoa5e78c45e55469191484a108aae2e0e9Guerrero Mendoza, Wrangel Eduardoce81d197deaf243e067c0b6b5c08ed58Geotechnical Engineering Knowledge and Innovation Genki2024-05-14T20:36:16Z2024-05-14T20:36:16Z2024-05-14https://repositorio.unal.edu.co/handle/unal/86084Universidad Nacional de ColombiaRepositorio Institucional Universidad Nacional de Colombiahttps://repositorio.unal.edu.co/ilustraciones, diagramas, fotografíasSe desarrolló un ensamble granular experimental para emplear la técnica de Velocimetría de Partículas con imágenes Digitales DPIV, por sus siglas en inglés, en las instalaciones del Laboratorio de Geotecnia de la Universidad Nacional de Colombia, con el objetivo de analizar los diferentes mecanismos de rotura presentes en un proceso de carga edométrica a diferentes testigos de prueba fabricados empleando adhesivo para cerámicas, comúnmente conocido como pegante cerámico, dispuestos en diferentes conjuntos de ensambles granulares, de un tamaño clasificado como grava, según USCS, teniendo en cuenta la variación de su ubicación con respecto al arreglo, en términos del número de coordinación, la forma del sujeto de prueba y el tipo de contacto presente. Para cada prueba se determinaron los esfuerzos de compresión a los que estaban sometidos los ensambles y se establecieron los modos de rotura prevalecientes. Los modos de rotura corresponden con división o splitting, y conminución o conminution. El tipo de rotura está condicionado por la forma de la partícula y por el tipo de contacto existente con los demás miembros del ensamble granular. Se encontró que el plano de falla y la dirección de movimiento de los fragmentos generados en el proceso de rotura se establecen previamente a la aparición de la grieta, así como que, una vez establecida una velocidad de inicio de rotura en la partícula, dicha velocidad se mantiene a lo largo de la generación de la grieta. Se encontró que la primera grieta del material generalmente inicia en los contactos, aunque se hallaron velocidades de desplazamiento dentro de las partículas cercanas a la velocidad de rotura. (Texto tomado de la fuente).An experimental granular assembly was developed to use the technique of Particle Velocimetry with Digital Imaging DPIV, at the facilities of the Geotechnical Laboratory of the National University of Colombia, with the objective of analyzing the different breakage mechanisms present in a process of oedometric loading to different test cores manufactured using ceramic adhesive, commonly known as ceramic adhesive, arranged in different sets of granular assemblies, of a size classified as gravel, according to USCS, taking into account the variation of their location with respect to the arrangement, in terms of the number of coordination, the shape of the test subject and the type of contact present. For each test, the compressive stresses to which the assemblies were subjected were determined and the prevailing failure modes were established. The failure modes correspond to splitting and comminution. The type of breakage is conditioned by the shape of the particle and by the type of contact with the other members of the granular assembly. It was found that the failure plane and the direction of movement of the fragments generated in the rupture process are established prior to the appearance of the crack, as well as that, once a rupture initiation velocity is established in the particle, this velocity is maintained throughout the generation of the crack. It was found that the first crack in the material generally initiates at the contacts, although displacement velocities within the particles were found to be close to the rupture velocity.MaestríaMagíster en Ingeniería - GeotecniaModelación y análisis en geotecniaxvii, 217 páginasapplication/pdfspaUniversidad Nacional de ColombiaBogotá - Ingeniería - Maestría en Ingeniería - GeotecniaFacultad de IngenieríaBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá620 - Ingeniería y operaciones afines::624 - Ingeniería civilDPIVRoturaEsfuerzoEnsamble granularDPIVBreakageStressGranular assemblyTecnología de materialesMaterials engineeringGeotecniaVelocimetría de imágenes de partículasgeotechnical engineeringparticle image velocimetryAnálisis de la rotura de gravas usando la técnica de análisis de imágenes DPIV teniendo en cuenta los efectos de formaAnalysis of gravel breakage using the DPIV image analysis technique taking into account shape effectsTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMAdrian, R. J. (1988). Statistical properties of particle image velocimetry measurements in turbulent flow. 4th International Symposia on Laser Techniques to Fluid Mechanics, 11-14.Adrian, R. J. (2005). Twenty years of Particle Image Velocimetry. Experiments in Fluids, 159-169. https://doi.org/10.1007/s00348-005-0991-7Agüí, J., & Jiménez, J. (1987). On the performance of Particle Tracking. J Fluid Mech, 447- 468. https://doi.org/10.1017/S0022112087003252Alonso, E., & Oldecop, L. (2007). Theoretical investigation of the time-dependent behaviour of rockfill. Géotechnique, 289-301.André, M. A., & Bardet, P. M. (2015). Interfacial shear stress measurement using high spatial resolution mmultphase PIV. Exp Fluids. https://doi.org/10.1007/s00348-015- 2006-7Ansys® Academic Research Mechanical. (2023). Ansys. https://www.ansys.com/ASTM. (2020). Standard Practice for Classification of Soils for Engineering Purposes (Unified Soil Classification System). En ASTM.Baastiaans, R. (1993). Cross-correlation PIV: Theory, implementation and accuracy. Technische Universiteit Einfhoven Reports.Bagi, K. (1996a). Geometrical modelling of granular assemblies. Acta Technica Academiae Scientiarum Hungaricae, 1-16.Bagi, K. (1996b). Stress and strain in granular assemblies. Mechanics of Materials, 165- 177.Bagi, K. (1999). Microstructural Stress Tensor of Granular Assemblies With Volume Forces. Journal of Applied Mechanics, 934-936.Bagi, K. (2004). Granular mechanics special issue. International Journal of Solids and Structures, 5761-5762.Bourke, P. (August de 1996). Cross Correlation - Autocorrelation - 2D Pattern Identification. http://paulbourke.net/miscellaneous/correlate/Bracewell, R. (1999). The Fourier Transform and Its Applications, 3rd edition. New York: McGraw Hill.Bridgwater, J. (2007). Particle Breakage due to Bulk Shear. En Handbook of Powder Technology (págs. 87-117). Cambridge.Brossard, C., Monnier, J., Barricau, P., Vaandernoot, F., Le Sant, Y., Champagnat, F., & Le Besnerais, G. (2009). Principles and Applications of Particle Image Velocimetry. AerospaceLab, 1-11.DIGITAL WAVE LTD. (2023). Free Video to JPG Converter. DVDVideoSoft: https://www.dvdvideosoft.com/es/products/dvd/Free-Video-to-JPG-Converter.htmDuan, X.-f., Wang, Y.-z., & Yuan, X.-m. (2018). State-of-Art Review of Particle Image Velocimetry (PIV) in Geotechnical Engineering. 2018 International Conference on Applied Mechanics, Mathematics, Modeling and Simulation (AMMMS 2018).Forliti, D., Strykowski, P., & Debatin, K. (2000). Bias and precision errors of digital particle image velocimetry. Experiments Of Fluids, 436-447.Gollin, D., Brevis, W., Bowman, E. T., & Shepley, P. (2017). Performance of PIV and PTV for granular flow measurements. Granular Matter. https://doi.org/10.1007/s10035- 017-0730-9Hecht, E., & Zajac, A. (2001). Optics. Massachusetts: Addison-Wesley Pub. Company.Hiramatsu, Y., & Oka, Y. (1966). Determination of the tensile strength of rock by a compression test of an irregular test piece. International Journal of Rock Mechanics and Mining Sciences, 89-90.Instituto Nacional de Vías - INVIAS. (2012). Manual de Normas de Ensayo de Materiales para Carreteras .Kim, J., Woo, S. I., & Chung, C.-K. (2018). Assessmment of Non-uniform Deformation During Consolidation with Lateral Drainage using Particle Image Velocimetry (PIV). KSCE Journnal of Civil Engineering, 520-531.Kwan, J., Sun, W., Lam, C., & Koo, R. (2016). Recent advances in landslide risk management measures in Hong Kong. Landslides and Engineered Slopes. Experience, Theory and Practice: Proceedings of the 12th International Symposium on Landslides. Napoles, Italia.Liang, C., Liu, J., Wu, Y., Chen, Z., Luo, R., Zheng, J., & Meng, Y. (2022). Experimental Study on Soil Deformation during Sammpler Penetration. KSCE Journal of Civil Engineering, 1080-1088Manso, J., Marcelino, J., & Caldeira, L. (2018). Crushing and oedometer compression of rockfill using DEM. Computers and Geotechnics, 11-22.Nakata, Y., Hyodo, M., Hyde, A., Kato, Y., & Murata, H. (2001). Microscopic particle crushing of sand subjected to high pressure one-dimensional compression. Soils Found., 69-82.Pereria, R. A., Gomes, F. C., Braga Júnior, R. A., & Rivera, F. P. (2018). Analysis of elasticity in woods submited to the static bending test using the Particle Image Velocimetry (PIV) technique. Engenharia Agrícola, Jaboticabal, v. 38, 159-165.Pereria, R. A., Gomes, F. C., Braga Júnior, R. A., & Rivera, F. P. (2019). Displacement measurement in sawn wood and wood panel beams using Particle Image Velocimetry. CERNE, 110-118. https://doi.org/10.1590/010477602014925012619Prasad, A. K. (2000). Particle Image Velocimetry. Current Science, 79, 51-60.RAE. (2023). 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Computers And Geotechnics, 269-280.BibliotecariosLICENSElicense.txtlicense.txttext/plain; charset=utf-85879https://repositorio.unal.edu.co/bitstream/unal/86084/1/license.txteb34b1cf90b7e1103fc9dfd26be24b4aMD51ORIGINAL1030625159-2024.pdf1030625159-2024.pdfTesis de Maestría en Ingeniería - Geotecniaapplication/pdf23064479https://repositorio.unal.edu.co/bitstream/unal/86084/2/1030625159-2024.pdfbf6ab1d0307a1ee8838558ae07c6da2cMD52THUMBNAIL1030625159-2024.pdf.jpg1030625159-2024.pdf.jpgGenerated Thumbnailimage/jpeg5432https://repositorio.unal.edu.co/bitstream/unal/86084/3/1030625159-2024.pdf.jpgdc075203259da35714899f7bcf492131MD53unal/86084oai:repositorio.unal.edu.co:unal/860842024-08-24 23:14:17.335Repositorio Institucional Universidad Nacional de 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