Concrete Elastic Modulus Experimental Research Based on Theory of Capillary Tension
The risk of cracking in the early stage is a critical indicator of the performance of concrete structures. Concrete cracked when the tensile stresses caused by deformation under restraint conditions exceeded its tensile strength. This research aims at an accurate prediction of shrinkage cracking of...
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MDPI AG
2022-05-01
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| Online Access: | https://www.mdpi.com/1996-1944/15/10/3734 |
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| author | Fengbin Zhou Changwang Su Daifeng Wu Jianmin Hua Lepeng Huang Qiming Luo Maoyi Liu Mi Nie Chunyao Tang |
| author_facet | Fengbin Zhou Changwang Su Daifeng Wu Jianmin Hua Lepeng Huang Qiming Luo Maoyi Liu Mi Nie Chunyao Tang |
| author_sort | Fengbin Zhou |
| collection | DOAJ |
| description | The risk of cracking in the early stage is a critical indicator of the performance of concrete structures. Concrete cracked when the tensile stresses caused by deformation under restraint conditions exceeded its tensile strength. This research aims at an accurate prediction of shrinkage cracking of concrete under constraints. Based on the theory of capillary tension under the concrete shrinkage mechanism, the method to test and compute the elastic modulus of a micro-matrix around the capillary, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>E</mi><mi>t</mi></msub></mrow></semantics></math></inline-formula>, was derived. Shrinkage and porosity determination tests were conducted to obtain the shrinkage values and confining stresses of concrete at different strength grades, different ages and under different restraint conditions, accordingly. Meanwhile, the proposed method of this research was used to obtain <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>E</mi><mi>t</mi></msub></mrow></semantics></math></inline-formula>. The restraint stress given by <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>E</mi><mi>t</mi></msub></mrow></semantics></math></inline-formula> was compared with the experimental result under the corresponding time. The results suggested a positive correlation between the elastic modulus of a micro-matrix around the capillary, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>E</mi><mi>t</mi></msub></mrow></semantics></math></inline-formula>, precomputed by the theory, and the static elastic modulus, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>E</mi><mi>c</mi></msub></mrow></semantics></math></inline-formula>, and that the ratio between the two gradually decreased with the passage of time, which ranged from 2.8 to 3.1. |
| first_indexed | 2024-03-10T03:30:07Z |
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| id | doaj.art-a4b2ef23f54e4090adbb425cb11f20a1 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-10T03:30:07Z |
| publishDate | 2022-05-01 |
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| spelling | doaj.art-a4b2ef23f54e4090adbb425cb11f20a12023-11-23T11:59:51ZengMDPI AGMaterials1996-19442022-05-011510373410.3390/ma15103734Concrete Elastic Modulus Experimental Research Based on Theory of Capillary TensionFengbin Zhou0Changwang Su1Daifeng Wu2Jianmin Hua3Lepeng Huang4Qiming Luo5Maoyi Liu6Mi Nie7Chunyao Tang8School of Civil Engineering, Chongqing University, Chongqing 400045, ChinaSchool of Civil Engineering, Chongqing University, Chongqing 400045, ChinaChongqing Urban Investment Infrastructure Construction Co., Ltd., Chongqing 400045, ChinaSchool of Civil Engineering, Chongqing University, Chongqing 400045, ChinaSchool of Civil Engineering, Chongqing University, Chongqing 400045, ChinaSchool of Civil Engineering, Chongqing University, Chongqing 400045, ChinaChongqing Urban Investment Infrastructure Construction Co., Ltd., Chongqing 400045, ChinaChongqing Urban Investment Infrastructure Construction Co., Ltd., Chongqing 400045, ChinaSchool of Civil Engineering, Chongqing University, Chongqing 400045, ChinaThe risk of cracking in the early stage is a critical indicator of the performance of concrete structures. Concrete cracked when the tensile stresses caused by deformation under restraint conditions exceeded its tensile strength. This research aims at an accurate prediction of shrinkage cracking of concrete under constraints. Based on the theory of capillary tension under the concrete shrinkage mechanism, the method to test and compute the elastic modulus of a micro-matrix around the capillary, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>E</mi><mi>t</mi></msub></mrow></semantics></math></inline-formula>, was derived. Shrinkage and porosity determination tests were conducted to obtain the shrinkage values and confining stresses of concrete at different strength grades, different ages and under different restraint conditions, accordingly. Meanwhile, the proposed method of this research was used to obtain <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>E</mi><mi>t</mi></msub></mrow></semantics></math></inline-formula>. The restraint stress given by <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>E</mi><mi>t</mi></msub></mrow></semantics></math></inline-formula> was compared with the experimental result under the corresponding time. The results suggested a positive correlation between the elastic modulus of a micro-matrix around the capillary, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>E</mi><mi>t</mi></msub></mrow></semantics></math></inline-formula>, precomputed by the theory, and the static elastic modulus, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>E</mi><mi>c</mi></msub></mrow></semantics></math></inline-formula>, and that the ratio between the two gradually decreased with the passage of time, which ranged from 2.8 to 3.1.https://www.mdpi.com/1996-1944/15/10/3734concrete elasticity modulusfree shrinkagetheory of capillary tensionrestraint stressearly cracking |
| spellingShingle | Fengbin Zhou Changwang Su Daifeng Wu Jianmin Hua Lepeng Huang Qiming Luo Maoyi Liu Mi Nie Chunyao Tang Concrete Elastic Modulus Experimental Research Based on Theory of Capillary Tension Materials concrete elasticity modulus free shrinkage theory of capillary tension restraint stress early cracking |
| title | Concrete Elastic Modulus Experimental Research Based on Theory of Capillary Tension |
| title_full | Concrete Elastic Modulus Experimental Research Based on Theory of Capillary Tension |
| title_fullStr | Concrete Elastic Modulus Experimental Research Based on Theory of Capillary Tension |
| title_full_unstemmed | Concrete Elastic Modulus Experimental Research Based on Theory of Capillary Tension |
| title_short | Concrete Elastic Modulus Experimental Research Based on Theory of Capillary Tension |
| title_sort | concrete elastic modulus experimental research based on theory of capillary tension |
| topic | concrete elasticity modulus free shrinkage theory of capillary tension restraint stress early cracking |
| url | https://www.mdpi.com/1996-1944/15/10/3734 |
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