Abstract
We investigated microcrack behavior in encapsulation-based self-healing concrete subjected to uniaxial tension by using finite element analysis. 3D circular capsule with particular shell thickness embedded in the mortar matrix samples was modeled. To represent potential cracks, zero thickness cohesive elements with bi-linear traction-separation law were pre-inserted into the initially generated meshes. Effects of fracture strength variation among the mortar matrix, the capsule, and the interface between them on crack nucleation, initiation, and propagation were investigated. The results showed that the mismatch among fracture strengths of the capsule, the mortar matrix, and the interface of them has a significant influence on crack nucleation, initiation, and propagation. Using similar fracture strength between capsule and mortar matrix, together with high fracture strength of their interface, will initiate a crack from the mortar matrix and then propagate directly into the capsule. This condition is the most favorable case in the capsule-based self-healing concrete since a capsule contained with a healing agent will likely fracture. Thus, the self-healing process in the concrete can be achieved effectively. In addition, the interface with lower fracture strength than the mortar matrix and the capsule strengths will initiate a crack from the interface and then leave the capsule intact. Hence, the self-healing mechanism could not be achieved. These results will become some valuable assets for the experimentalists to assist in their experimental works.
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Abbreviations
- G F :
-
Cohesive fracture energy
- t n :
-
Cohesive strength in normal direction
- t s :
-
Cohesive strength in shear direction
- t t :
-
Cohesive strength in tear direction
- t no :
-
Initial cohesive strength in normal direction
- t so :
-
Initial cohesive strength in shear direction
- t to :
-
Initial cohesive strength in tear direction
- δ no :
-
Initial separation displacement in normal direction
- δ so :
-
Initial separation displacement in shear direction
- δ to :
-
Initial separation displacement in tear direction
- δ nf :
-
Separation displacement at failure in normal direction
- δ sf :
-
Separation displacement at failure in shear direction
- δ tf :
-
Separation displacement at failure in tear direction
- D :
-
Scalar damage index
- δ m,f :
-
Effective displacement at failure
- δ m,max :
-
Maximum effective displacement during loading
- δ m,o :
-
Effective displacement at initial of damage
- E:
-
Young’s modulus
- v:
-
Poisson’s ratio
- ρ:
-
Density
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Acknowledgments
This work is supported and financed by RISTEKDIKTI (Directorate General of Resources for Science, Technology and Higher Education, Ministry of Research, Technology and Higher Education of Indonesia) under funding agreement No. 153.39/E4.4/2014, and International Promovieren in Deutschland-for all (IPID4all) Frung von Forschungs- und Praxisaufenthalten im Ausland - Bauhaus Research School, Bau-haus University of Weimar, Germany. This work is also partially funded by USAID through Sustainable Higher Education Research Alliance (SHERA) program with grant number IIE00000078-ITB-1. The supports are gratefully acknowledged.
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Luthfi Muhammad Mauludin is a Ph.D. candidate at the Institute of Structural Mechanics at Bauhaus University of Weimar, Germany. He received his B.S. in Civil Engineering from Politeknik Negeri Bandung (POLBAN), Indonesia. His M.S. in Structural Analysis is from Technical University of Catalonia (UPC), Spain and Universitegli Studi di Padova, Italy.
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Mauludin, L.M., Budiman, B.A., Santosa, S.P. et al. Numerical modeling of microcrack behavior in encapsulation-based self-healing concrete under uniaxial tension. J Mech Sci Technol 34, 1847–1853 (2020). https://doi.org/10.1007/s12206-020-0405-z
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DOI: https://doi.org/10.1007/s12206-020-0405-z