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Morteros, para la imp= resión 3D con áridos locales de la Zona 3 de Ecuador

Mortars, for 3D printing with local aggregates from Zone 3 of Ecuador

Marco Javier Palacios Carvajal.[1], Oscar Efren Paredes Peñaherrera.[2] & Rosa Pamela Taco= Hernández.[3]

 

Recibido: 11-02-2020 / Revisado: 18-03-2020 /Aceptado: 04-04-2020/ Publicado: 08-05-2= 020

 

Abstract.                                     <= /span>DOI: https://doi.org/10.33262/concienciadigita= l.v3i2.1.1239 =

 

3D printing is a novel pro= cess in the construction industry, in several countries studies of different mor= tars have been carried out for use in 3D printers; however, there is no standardization of materials, equipment and procedures that allow obtaining= a mortar that meets all the characteristics to be considered printable; consequently mortars were made with 2 types of aggregates from the province= of Chimborazo and Tungurahua, to make a comparison of their physical, chemical= and mechanical characteristics.

Keywords: 3D printing, mortars, Chimborazo, Tungurahua, aggregates and cements.

Resumen.

La impresión 3D es un proceso novedoso en la industria de la construcci= ón, en varios países se han realizado estudios de diferentes morteros para su u= so en impresoras 3D; sin embargo no existe una estandarización de materiales, equipos y procedimientos que permitan la obtención de un mortero que c= umpla con todas las características para ser considerado imprimible; en consecuen= cia se realizó morteros con 2 tipos de agregados provenientes de la provincia de Chimborazo y Tungurahua, para realizar una comparación de sus característic= as físicas, químicas y mecánicas.

Palabras Claves: Impresión 3D, morteros, Chimborazo, Tungurahua, agregados y cementos.<= /o:p>

Introducción

El despunte tecnológico en la industria de la construcción es la impresión 3D; como un sistema que permite la fabricación de elementos de construcción prediseñados con mortero, para el ensamblaje de obras pequeñas en pocas horas, disminuye= ndo los costos de producción, desperdicios y sistematizando procesos. ADDIN CSL_CITATION {"citationItems":[{"id":"ITEM-1","itemDa= ta":{"abstract":"La fabricación aditiva desarrollada desde la década de los 70, constituye uno = de los mayores avances en la industria. Su aplicación en el campo de la arquit= ectura, como construcción aditiva, se presenta como una de las revoluciones de la arquitectura actual, y este trabajo de fin de grado busca entender la idone= idad de esta técnica para su implantación sistemática. Se realiza para ello un acercamiento a la construcción aditiva en la industria, así como las tipolo= gías principales que la representan, y su aplicación en otros campos, para poder entender el cambio a la escala de la arquitectura. Se estudia posteriorment= e el estado actual de la técnica, y sus principales técnicas y metodologías constructivas. Se propone entonces un estudio de casos actuales, que nos ay= uda a realizar un posterior análisis de las características de la técnica desarrollada hasta hoy. Una vez obtenidos los resultados, se discute la via= bilidad de la implantación de la implantación de la construcción aditiva y su futur= o. Palabras","author":[{"dropping-particle":"&qu= ot;,"family":"Campillo Mejía","given":"Miriam","non-dropping-particl= e":"","parse-names":false,"suffix":"= ;"}],"container-title":"Universidad Politécnica de Madrid","id":"ITEM-1","issued":{"da= te-parts":[["2017"]]},"page":"40","= title":"\"Prefabricación en la arquitectura: Impresión 3D en hormigón\"","type":= "article-journal"},"uris":["http://www.mendeley.co= m/documents/?uuid=3D7ad703d6-1e6f-43be-9d9b-ee7d105329c5"]}],"men= deley":{"formattedCitation":"(Campillo Mejía, 2017)","plainTextFormattedCitation":"(Campillo Mejía, 2017)","previouslyFormattedCitation":"(Campillo Mejía, 2017)"},"properties":{"noteIndex":0},"= schema":"https://github.com/citation-style-language/schema/raw/ma= ster/csl-citation.json"}(Campillo Mejía, 2017)

 

En el mundo, varios estudios se han desarrollado en busca de un mortero que cumpla las características para considerarse imprimible entre ellas destacan:

 

Capacidad de ser bombeado.- la consistencia del mortero debe permitir que se m= ueva por el sistema de la impresora hasta llegar al cabezal de impresión produci= endo una masa constante; Torres (2016), definió que para poder ser bombeado el mortero debe= ser amasado con un árido fino de tamaño máximo de 8 mm para evitar taponamiento= s en el cabezal de impresión.

 

Capacidad de ser impreso.- la extrucción del morter= o por la boquilla de impresión debe ser de tal manera que no se deje restos que puedan obstaculizar la correcta impresión del material; Chimbolema (2017), menciona que el ensayo de trabajabilidad debe obten= er un resultado de 150±10 mm medida por el ensayo de consistencia en la mesa de sacudidas.

Constructibidad.- se define como la resistencia que tiene el mortero una vez impreso de soportar su peso propio y el de las hiladas superiores sin deformarse excesivamente, Altamirano, Cuevas, & Sanchez (2015), evaluaron el tiempo de fraguado para el control de dicha característica.

 

Wu, Wang, & Wang (2016),  mencionaro= n que las características de un mortero imprimible no solo dependen del agregado = fino que se utilice en su amasado, sino también del cemento y aditivos que se utilicen; tanto los aditivos y diferentes tipos de cementos que se usan par= a la elaboración de un mortero se han estudiado para la obtención de resistencia= a la compresión en intervalos de tiempo largos en tanto, que la impresión 3D = precisa de tiempos de fraguado cortos y desarrollo de resistencias a tempranas edad= es, en minutos. (Limonte, 2016)

En Ecuador, existen varias minas que proveen de arena de río como agregado fino cumplie= ndo varios requisitos que la Agencia de Regulación y Control Minero del país ex= ige, la provincia de Chimborazo y Tungurahua son reconocidas como las mejores productoras de arena de río, pues en estas provincias se desempeñan las canteras más grandes. (Mariño, 2018)

 

Metodología

Esta investiga= ción inicia con la obtención del agregado fino proveniente de las provincias de Chimborazo y Tungurahua, obteniendo dos muestras de arena de río, diferenci= adas por el color de la arena siendo la de Chimborazo más oscura, como es eviden= te en la figura 1.

Figura 1 = Muestras obtenidas para el estudio

 

 

 

 

 

 

 

Fuente: Elaboración Propia  =

 

El mortero imprimible debe cumplir algunas características antes mencionadas, es por e= sto que, para asegurar un correcto comportamiento mecánico, se realizó varios ensayos físicos y químicos de los agregados.

 

Se inició con = el ensayo de Contenido de materia orgánica en áridos finos, el cual se desarro= lló conforme la norma INEN NTE 0855; el proceso describe que, en un frasco limpio y con = tapa se diluye 3 g de hidróxido de sodio en agua, luego se añade 150 g de árido fino, mezclar con movimientos de agitación y batido, hasta conseguir que to= da la muestre quede totalmente húmeda; dejar reposar por 24 horas, luego de transcurrido este tiempo, se realiza una comparación del tono del color del agua que sobrenada con la tabla de colores de Gardner para su posterior análisis.

 

Continuamos co= n el ensayo de granulometría, este ensayo está definido en la norma INEN NTE 696, en su procedimiento define una serie de tamices para áridos finos, por los cuales se deja caer la muestra de árido para luego ser insertado en una tamizadora por el lapso de 10 minutos, luego se procede al pesaje del material retenido en cada tamiz para su cálculo y análisis poste= rior. A continuación, se realizó el ensayo de contenido de humedad siguiendo el proceso: pesamos un recipiente vacío, en este colocamos una porción del ári= do fino en estado natural y pesamos el conjunto, luego se introduce en un horn= o de secado a 110 ºC por 24 horas, transcurrido este tiempo dejamos enfriar y pesamos de nuevo el conjunto así lo menciona la no= rma INEN NTE 690.

 

Finalmente se realizó el ensayo de densidad aparente y porcentaje de absorción para lo cu= al; se sumerge una muestra representativa de árido fino en agua por 24 horas pa= ra saturar sus partículas, con ayuda del horno de secado llevamos el árido fino hasta el estado de saturado superficialmente seco (SSS) para verificar este estado se llena el molde tronconico y se golpea= 25 veces con el martillo del molde para compactar, se retiran los excesos aledaños, luego se levanta el molde con cuidado, si una vez que se retira e= ste cono de arena se desmorona mininamente el árido está en estado SSS; llenamo= s un picnómetro con agua hasta la marca de calibración y añadimos 500 g de árido fino en estado SSS y mezclamos hasta conseguir que la muestre este totalmen= te humedecida, se elimina la mayor cantidad de burbujas y se pesa el conjunto, finalmente tomamos una porción del árido en estado SSS y lo ponemos a secar por 24 hor= as en un horno de secado a 110 ºC para posteriorme= nte pesar la muestra, este proceso lo describe la norma INEN NTE 857.

 

Los cementos utilizados en esta investigación se los obtuvo en la Unión Cementera Nacion= al, obteniendo datos muy importancia y de relevancia para la investigación; de igual manera se decidió la utilización de un aditivo plastificante-aceleran= te para el amasado del mortero pues en la impresión 3D se necesita el desarrol= lo de resistencia en intervalos de tiempo de fraguado cortos y los cementos utilizados han sido desarrollados para tiempos de fraguados largos.

 

Dopico (2008), menciono que la cal hidráulica añadida en un mortero durante su amasado incrementa la resistencia a la compresión por que las partículas de dicha cal actúan como absorbente de agua ayudando al endureci= miento de la mezcla, por ello en esta investigación se utilizó cal hidráulica de la zona 3 del país.

Una vez conoci= dos todos estos datos, se realizó una elección de dosificaciones para evaluar el comportamiento mecánico de los áridos finos en el mortero, las cuales se muestran en la tabla No 1.

Tabla 1 Descrip= ción de dosificaciones

 

Componentes

M-0-I

M-7-I

M-0-HE

M-7-HE

Árido Fino (Kg)

62.25

67.20

62.25

67.20

Cemento (Kg)

50.00

50.00

50.00

50.00

Cal (Kg)

0.00

3.50

0.00

3.50

Agua (Kg)

21.00

25.45

20.75

22.45

Plastificante (Kg)

1.00

1.00

1.00

1.00

 

Elaborado por: grupo de investigación

 

La nomenclatur= a de los morteros está dada por la letra (M) de mortero, seguido del porcentaje = de cal hidráulica en la dosificación (0 ó 7) y a continuación el tipo de cemento utilizado para el amasado del mortero (I – = HE); las dosificaciones fueron realizados en igual cantidad de los componentes p= ara los dos tipos de áridos mencionados anteriormente, para poder realizar una comparación más representativa del comportamiento mecánico de la arena de r= ío en el mortero.

La Norma Ecuatoriana de la Construcción (NEC, 2010), menciona el proceso de amasado para un mortero; en = el cual describe que el árido fino, cemento y en este caso la cal hidráulica s= erán mezclados hasta obtener una color homogéneo, a continuación se añade el adi= tivo y se bate para finalmente agregar el agua y continuar con el batido de estos elementos; hasta obtener una mezcla homogénea, cuidando la adición involunt= aria de materiales orgánicos e inorgánicos en el mortero.

 

Una vez realiz= ado el amasado del mortero se procedió con algunos ensayos mecánicos para defin= ir el cumplimiento de las propiedades de los morteros para considerarlos imprimibles.

Según la norma= INEN NTE 488, se debe fabricar probetas de ensayo cúbicas de (50*= 50) mm; para esto se fabricaron moldes de madera y para evitar que el mortero se adhiera al molde se sumergió este por 24 horas en diésel, estos moldes se pueden utilizar como máximo 2 veces.

Para el ensayo= de resistencia a la compresión de morteros se fabricaron 4 probetas cúbicas por edad de en= sayo y se realizó el procedimiento de la norma INEN NTE 488; la probeta cubica se coloca en el centro del pistón hidráulico de la prensa electrónica para asegurar una distribución de carga uniforme en todo el cuerpo de la probeta hasta llegar a su ruptura; los  datos obtenidos serán tabulados para su posterior calculo y análisis.

Además, se rea= lizó el ensayo de tiempo de  fraguado del mortero basado en la norma INEN NTE 158, para lo cual se utilizó un molde de PVC circular de= 5cm de altura, en este molde se vierte el mortero y mediante el ensayo de Vicat= se determinó el tiempo de inicio de fraguado y el tiempo final de fraguado.

 

El ensayo de trabajabilidad se desarrolló elaborando rollos de cada mortero los cuales fueron colocados directamente en la mesa de sacudidas, este ensayo se deter= mina hasta obtener el menor diámetro posible sin que el rollo se vea fracturado o roto, esto se realizó basado en la norma INEN NTE 157, para la determinación de la consistencia del morter= o.

 

Resultado= s

Según lo descr= ito en el capítulo anterior se realiza un contraste de resultados obtenidos por= los áridos finos en los ensayos físicos y químicos en iguales condiciones.=

Contenido orgánico en agregado fino. - Esta comparación se realizó a las 24 horas de realiza= do el ensayo, los resultados se muestran en la figura 2.

Figura 2 Comparación de los resultados de las muestras con la Tabla de Gard= ner

<= o:p> 

 

Fuente: Elaboración Propia

La arena de rí= o de la provincia de Chimborazo tiene un alto contenido de materia orgánica a comparación del agregado proveniente de la provincia de Tungurahua; lo cual= es perjudicial para un mortero imprimible, por tanto, con el tiempo estas impurezas se reproducen creando fisuras que afectan al comportamiento mecán= ico del mortero.

 

Granulometría. – A continuación, la figur= a 3, indica las curvas granulométricas de los áridos finos evidenciando que cada= una de estas se encuentran dentro de los límites establecidos, así también, así= se determina que sus módulos de finura están dentro del rango establecidos los mismos que van de 2.3 a 3.1 como lo indica la NEC (2010).

 

Figura 3 Curvas granulométricas

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Fuente: Elaboración Propia

 

De los resultados, los módulos de finura se encuentran dentro de los rangos establecidos lo que significa, que en el amasado del mortero las partículas podrán ser extruidas por el cabezal de la impresora 3D sin producir taponamientos y de manera continua su impresión.

 

Contenido de humedad. –  En la tabla = 2 se muestran los resultados del ensayo, obteniendo resultados dentro de los parámetros para un mortero, que indica que no debe superar el 10% para evit= ar una mezcla muy suelta ni menor a 4% para evitar mezclas secas.

Tabla 2 Conteni= do de humedad

ÁRIDO DE TUNGURAHUA=

Recipient= es

Masa Rec (g)

Masa Rec + Muestra húmeda (g)

Masa Rec+Muestra seca (g)

% Humedad=

Tara 1

18.400

82.900

77.500

9.137

Tara 2

18.000

92.400

86.300

8.931

 

 

 

 

% Humedad    Promedio

9.03

ÁRIDO DE CHIMBORAZO

Recipient= es

Masa Rec (g)

Masa Rec + Muestra húmeda (g)

Masa Rec+Muestra seca (g)

% Humedad=

Tara 1

16.690

99.820

95.540

5.428

Tara 2

17.030

106.560

101.460

6.041

 

 

 

 

% Humedad Promedio

5.73

 

Elaborado por: grupo de investigación

 

Los porcentajes de humedad de los dos áridos en estudio están dentro de los lím= ites establecidos por la normativa, lo cual nos asegura que para las dosificacio= nes planteadas tendremos mezclas homogéneas con una trabajabilidad adecuada y q= ue se controlara de mejor manera la relación agua-cemento.

Densidad aparente y porcentaje de absorción. -  Los resultados del ensayo se muestran en la tabla 3, los cuales cumplen= con lo establecido en la norma para considerar un árido de calidad.

Tabla 3 Porcent= aje de absorción.

Valores

Tungurahua=

Chimborazo=

Densidad (kg/m3)<= /span>

2072.73

1494.18

Densidad en SSS (kg/m3)

2159.09

1589.38

Densidad Aparente (kg/m3)

2269.19

1651.82

% de Absorción

4.17

6.37

 

Elaborado por: grupo de inv= estigación

 

El porcentaje de absorción del árido de Chimborazo es mayor que el de Tungurah= ua lo que significa que este árido absorbe humedad en mayor cantidad, el mismo afecta la relación agua-cemento en el mortero lo cual es desfavorable para = el amasado; por ello se utilizó el aditivo antes mencionado.=

A continuación de estos ensayos se evaluaron las características mecanicas de estos morteros y los resultados se prese= ntan a continuación.

Resistencia a la compresión a corto plazo. – <= /b>Los resultados de este ensayo se muestran en la tabla= 4, siendo el mortero con cemento tipo HE sin cal hidráulica y con agregado de = la provincia de Chimborazo el que mejor resistencia a la compresión presenta.<= o:p>

Tabla 4 Resistencia a la compresión a corto plazo

Provincia

Dosificación

6 Horas

9 Horas

24 Horas

Tungurahua Com= presión (Mpa)

M-0= -I

7.8= 1

11.= 20

19.= 65

M-7= -I

5.8= 3

9.0= 8

15.= 47

M-0= -HE

7.8= 9

16.= 19

20.= 52

M-7= -HE

5.9= 2

13.= 26

16.= 57

Chimborazo Com= presión (Mpa)

M-0= -I

4.0= 8

7.6= 0

12.= 75

M-7= -I

3.0= 8

4.0= 4

11.= 98

M-0= -HE

10.= 09

17.= 48

23.= 85

M-7= -HE

8.9= 92

17.= 608

21.= 132

 

Elaborado por: grupo de investigación

Figura 4 Resiste= ncia a la compresión a corto plazo vs. Tiempo

Fuente: Elaboración propia

 

Como se observa en la figura 4, los morteros que contienen cal hidráulica presen= tan un desarrollo de resistencia mucho menor a los que no tienen cal, esto quie= re decir que la cal hidráulica no está aumentando la resistencia como lo menci= ono Dopico (2008) en nuestro caso.

 

Resistencia a la compresión a largo plazo. – <= /b>Los resultados del ensayo en mención se muestran en la tabla 5, donde se videncia que el mortero con cemento HE sin añadidura de c= al y con árido de la provincia de Chimborazo desarrollo mayor resistencia, además notamos que la resistencia de su similar con cal hidráulica también tiene b= uen resultado.

Tabla 5 Resiste= ncia a la compresión a largo plazo

Provincia

Dosificación

7 Días

14 Días

21 Días

28 Días

Tungurahua Compresión (Mpa)

M-0= -I

30.= 09

38.= 12

43.= 68

44.= 72

M-7= -I

24.= 17

29.= 44

31.= 96

36.= 40

M-0= -HE

36.= 28

43.= 16

45.= 84

48.= 24

M-7= -HE

27.= 84

33.= 56

38.= 72

42.= 24

Chimborazo Compresión (Mpa)

M-0= -I

28.= 13

36.= 17

40.= 71

41.= 11

M-7= -I

19.= 84

25.= 99

29.= 23

30.= 49

M-0= -HE

50.= 18

58.= 57

62.= 14

63.= 82

M-7= -HE

41.= 72

47.= 62

56.= 05

57.= 75

 

Elaborado por: grupo de investigación

Figura 5 Resiste= ncia a la compresión a largo plazo vs. Tiempo

 

Fuente: Elaboración propia

 

De la fig= ura 5, se evidencia que los desarrollos de resistencias a largo plazo siguen un patrón definido, sin embargo, los morteros elaborados con cemento HE se desarrollan de mejor manera, así mismo se puede observar que la cal hidrául= ica no ayuda al desarrollo de resistencia. Por tanto, se desecha la hipótesis d= e la utilización de la cal hidráulica para fortalecer la resistencia de los mort= eros.

Es importante mencionar que todos los resultados alcanzados en las característ= icas de resistencia superan el valor común de un hormigón que es de 21 MPa, lo c= ual es una ventaja que debe ser aprovechada para la utilización de estos morter= os en otras aplicaciones constructivas para beneficio de la industria de la construcción.

Trabajabilidad. - los resultados del ensayo se resumen en la tabla 6, donde se comparan los morte= ros con los dos tipos de áridos.

Tabla 6 Diámetros establecidos para evaluar la trabajabilidad.

Morteros

Minutos

1

2

3

5

M-0-I

Chimborazo

21 cm

19.5 cm

19 cm

16.5 cm

Tungurahua

22 cm

20 cm

19.75 cm

14 cm

M-7-I

Chimborazo

18 cm

16 cm

15 cm

14.8 cm

Tungurahua

17 cm

15 cm

14.5 cm

14.02 cm

M-0-HE

Chimborazo

22 cm

19.5 cm

18 cm

16 cm

Tungurahua

21 cm

20.5 cm

19.5 cm

17 cm

M-7-HE

Chimborazo

19 cm

16.5 cm

15.5 cm

14.3 cm

Tungurahua

22 cm

21.5 cm

20.4 cm

19.5 cm

 

Elaborado por: grupo de investigación=

Los diámetros de trabajabilidad son medidos en centímetros como ilustra la tabl= a 6, estos tienen una tendencia de decreciente en el tiempo, lo que significa qu= e no hay escurrimiento y las mezclas se estabilizan de forma inmediata.

Es notorio que el mortero M-0-HE con árido de la provincia de Chimborazo inicia con un diámetro de 22 cm y llega a uno de 16 cm cumpliendo con lo estableci= do en la norma de diámetro inicial y diámetro final, esta característica de trabajabilidad es de importancia en el proceso de impresión 3D pues de esta= se desprende el antes, durante y después del proceso de extracción del mortero; las otras mezclas cumplen en cierto porcentaje de  la característica de trabajabilidad sin embargo pueden crear taponamientos en el cabezal de impresión.

Discusión

Los resultados de todos los ensayos antes mencionados de los áridos finos, se d= efine que la característica del agregado fino de la provincia de Chimborazo prese= nta los mejores resultados que las normativas vigentes así lo requieren; sin em= bargo, tampoco se puede desechar el árido fino de la provincia de Tungurahua debid= o a que sus características son semejantes, y además cumpliendo con la normativ= a en menor proporción.

Conclusiones

·      =    El árido fino de la provincia de Chimborazo amasado con cemento tipo HE presen= ta mejor características de resistencias, trabajabilidad y tiempos de fraguado= frente a los morteros amasados con árido de río de la provincia de Tungurahua. Los= dos áridos presentan diferencias significativas en cuanto a propiedades físicas, siendo evaluados con normativa vigente que no se ha estudiado enfocada en su utilización en impresoras 3D, verificando las características establecidas = por Khalil (2017) para definir un mortero como imprimible.<= /span>

·      =    Así también analizados los valores de resistencia a la compresión a largo y cor= to plazo se notó el decrecimiento representativo de los morteros amasados con = cal hidráulica respecto a los que no contienen cal hidráulica en su dosificació= n; siendo más evidente estos decrecimientos por los tipos de cementos utilizad= os en la investigación. Es por esto que se denota necesario el desarrollo de cementos y aditivos que se utilicen netamente en la obtención de morteros p= ara impresoras 3D.

<= span style=3D'mso-list:Ignore'>·&nb= sp;        Los morteros evalu= ados con dos tipos de arena de río como agregado fino poseen resultados en el en= sayo de trabajabilidad muy alentadores sin embargo es necesario realizar una simulación de impresión para verificar que los morteros no ocasionen taponamientos en el cabezal de impresión.

Referencias

ADDIN Mendeley Bibliography CSL_BIBLIOGRAPHY Altamirano, G., Cuevas, A., & Sánchez, Z. (2015). Utilización De Fibra De Coco En La Elaboración De Piezas Ecosustentables De Mampostería. Perspectiva En México= Y Avance De Estudio. Congreso Nacional de Ingeniería Sísmica, (January 2016). Retrieved from https://www.researchgate.net/publication/288991375_Utilizacion_de_Fibra_de_= Coco_en_la_Elaboracion_de_Piezas_Ecosustentables_de_Mamposteria_Perspectiva= _en_Mexico_y_Avance_de_Estudio

Campillo Mejía, M. (2017). “Prefabricación en la arquitectura: Impresión 3D en hormigón.” Universidad Politécnica de Madrid, 40. Retrieved from http://oa.upm.es/47556/

Chimbolema, S. (2017). Diseño de un Mortero con Arcillas y Cemento Portland Tipo I para= su uso en Impresoras 3D. Universidad Nacional de Chimborazo, 53. Retrie= ved from http://dspace.unach.edu.ec/handle/51000/4341

Dopico, J. J., Hernández, F. M., Day, R. L., Middendorf, B., Gehrke, M., & Martinez, L. (2008). Desarrollo de hormigones con aglomerante cal-puzolana fina como material cementicio suplementario. Revista Ingeniería de Construcción, 23(3), 171–178.

INEN NTE 0855. (2010). Determinación de impurezas orgánicas en el árido fino para hormigón. Ecuador, 0855.

INEN NTE 157. (2010). Determinación de la consistencia normal. Método Vicat. = Ecuador.

INEN NTE 158. (2010). Determinación del tiempo de fraguado, Método VICAT. Ecu= ador.

INEN NTE 488. (2010). Determinación de la resistencia a la compresión de mortero= s en cubos de 50mm de arista. Ecuador.

INEN NTE 690. (2010). Determinación del contenido de agua método del secado al horno. Ecuador.

INEN NTE 696. (2010). Análisis Granulométrico en los áridos, fino y gruesos. = Ecuador.

INEN NTE 857. (2010). Determinación de la densidad, densidad relativa y absorcion del árido grueso. Ecuador.

Khalil, N., Aouad, G., El Cheikh, K., & Rémond, S. (2017). Use of calcium sulfoaluminate cements for setting control of 3D-printing mortars. Construction and Building Materials,= 157, 382–391. https://doi.org/10.1016/j.conbuildmat.2017.09.109

Limonte Morales Giselle. (2016). Evaluación de medidas de mitigación de la fisuración debido a la retracción= por secado en hormigones para obras hoteleras en Cayo Coco. Universidad Cent= ral Martha Abreu.

Mariño Salguero, C. E. (2018). Diseño de un mortero con cemento portland tipo I y = HE incluida cal hidráulica para su uso en impresoras 3D. Universidad Nacion= al de Chimborazo.

NEC. (2010). Norma Ecuatoriana de la Construcción. Ecuador.

Torres Remón, R. (2016). Diseño de hormigón para impresión en 3D. Universidad Politécnica de Valencia, 83.

Wu, P., Wang, J., & Wang, X. (2016). A critical review of the use of 3-D printing in the construction industry. Automation in Construction, 68, 21–31. https://doi.org/10.1016/j.autcon.2016.04.005

Alaminos-Fernández, A. F. (2014).= Cuando las letras son música: las canciones en inglés en = la publicidad española.

Beltrán, M. (2017). El aprendizaje del idioma inglés como lengua extranjera. Revista Boletín Redipe, 6(4), 91-98.

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Bernal, C. (2017). Uso de las TICS y su influencia con la enseñanza–aprendizaje del idioma inglés en los estudiantes del I y II ciclo= de la Escuela Académico Profesional de la Facultad de Educación UNMSM-Lima&nbs= p;. Doctoral dissertation, UNIVERSIDAD NACI.

Bustos Flores, P. F. (2012). El uso de materiales audiovisuales y su influencia en el aprendizaje del idioma inglés.

Castro Martínez, N. D. (2014). El uso de la Música para la enseñanza del Inglés. El Lipdub.

Darian, S. (1969). Antecedentes de la enseñanza moderna de idiomas: Sweet, Jespersen y Palmer. The Modern Language Journal, 53 = (8), 545-550.

Díaz, C. M. (2010). Una fotografía de las cogniciones de = un grupo de docentes de inglés de secundaria acerca de la enseñanza y aprendiz= aje del idioma en establecimientos educacionales públicos de Chile. Folios, 31.

Escobar, E. Y. (2005). La música pop en el desarrollo de = las habilidades de escucha y producción oral en inglés. Lenguaje.  33, 159-195.

García-Medall Villanueva, J. A. (2001). La traducción en = la enseñanza de lenguas.

Medina, M. M. (2013). La importancia del aprendizaje del idioma inglés a temprana edad.  Yachana Revista Científica, 2.<= o:p>

Pérez Morales, J. I. (2008). La evaluación como instrumen= to de mejora de la calidad del aprendizaje. Propuesta de intervención psicopedagógica para el aprendizaje del idioma inglés.

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Tomatis, A. (. (1969). El oído y el lenguaje . Martínez Roca.

 

 

 

 

 

 

PARA CITAR EL ARTÍCULO INDEXADO.

 

 

Palacios Carvajal, M. J., Par= edes Peñaherrera, O. E., & Taco Hernández, R. P. (2020). Morteros, para la impresión 3D con áridos locales de la Zona 3 de Ecuador. ConcienciaDigital, 3(2.1), 250-264. https://doi= .org/10.33262/concienciadigital.v3i2.1.1239

 

 



 

 

 

El artículo que se publica es de exclusiva responsabilidad de los autores y no necesariamente reflejan el pensamiento de la Revista Conciencia Digital.

 

El artículo queda en propiedad de= la revista y, por tanto, su publicación parcial y/o total en otro medio tiene = que ser autorizado por el director de la Revista Conciencia Digital.

 

 

 =



[1] Unive= rsidad Nacional de Chimborazo, Facultad de Ingeniería. Riobamba, Ecuador. jpalacios@unach.edu.ec

[2] Unive= rsidad Nacional de Chimborazo, Facultad de Ingeniería. Riobamba, Ecuador. <= span class=3DMsoHyperlink>oeparedes@unach.edu.ec

[3] Unive= rsidad Nacional de Chimborazo, Facultad de Ingeniería. Riobamba, Ecuador. <= span class=3DMsoHyperlink>rosapamelatacohernandez@gmail.com=

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