1. Civil Engineering Department, Gegerkalong Hilir Ds.Ciwaruga, Bandung 40012, Indonesia
2. Institute of Structural Mechanics, Bauhaus University of Weimar, Weimar 99425, Germany
timon.rabczuk@uni-weimar.de
Show less
History+
Received
Accepted
Published Online
2021-02-10
2021-09-15
2021-11-19
PDF
(45205KB)
Abstract
We present a three-dimensional (3D) numerical model to investigate complex fracture behavior using cohesive elements. An efficient packing algorithm is employed to create the mesoscale model of heterogeneous capsule-based self-healing concrete. Spherical aggregates are used and directly generated from specified size distributions with different volume fractions. Spherical capsules are also used and created based on a particular diameter, and wall thickness. Bilinear traction-separation laws of cohesive elements along the boundaries of the mortar matrix, aggregates, capsules, and their interfaces are pre-inserted to simulate crack initiation and propagation. These pre-inserted cohesive elements are also applied into the initial meshes of solid elements to account for fracture in the mortar matrix. Different realizations are carried out and statistically analyzed. The proposed model provides an effective tool for predicting the complex fracture response of capsule-based self-healing concrete at the meso-scale.
CailleuxE, PolletV. Investigations on the development of self-healing properties in protective coatings for concrete and repair mortars. In: Proceedings of the 2nd International Conference on Self-Healing Materials. Chicago, IL, 2009
[2]
DryC. Matrix cracking repair and filling using active and passive modes for smart timed release of chemicals from fibers into cement matrices. Smart Materials and Structures, 1994, 3( 2): 118– 123
[3]
WhiteS, MaitiS, JonesA, BrownE, SottosN, GeubelleP. Fatigue of self-healing polymers: Multiscale analysis and experiments. In: 11th International Conference on Fracture. Turin, 2005
[4]
de BorstR. Some recent developments in computational modelling of concrete fracture. International Journal of Fracture, 1997, 86( 1): 5– 36
[5]
MurthyA R C, PalaniG, IyerN R. State-of-the-art review on fracture analysis of concrete structural components. Sadhana, 2009, 34( 2): 345– 367
[6]
WuM, JohannessonB, GeikerM. A review: Self-healing in cementitious materials and engineered cementitious composite as a self-healing material. Construction & Building Materials, 2012, 28( 1): 571– 583
[7]
Van TittelboomK, deBelieN. Self-healing in cementitious materialsa review. Materials (Basel), 2013, 6( 6): 2182– 2217
[8]
TalaiekhozanA, Abd MajidM Z. A review of self-healing concrete research development. Journal of Environmental Treatment Techniques, 2014, 2( 1): 1– 11
[9]
MauludinL M, OucifC. Modeling of self-healing concrete: A review. Journal of Applied and Computational Mechanics, 2019, 5: 526– 539
[10]
OucifC, MauludinL. Continuum damage-healing and super healing mechanics in brittle materials: A state-of-the-art review. Applied Sciences (Basel, Switzerland), 2018, 8( 12): 2350–
[11]
MauludinL M, BudimanB A, SantosaS P, ZhuangX, RabczukT. Numerical modeling of microcrack behavior in encapsulation-based self-healing concrete under uniaxial tension. Journal of Mechanical Science and Technology, 2020, 34( 5): 1847– 1853
ZemskovS V, JonkersH M, VermolenF J. Two analytical models for the probability characteristics of a crack hitting encapsulated particles: Application to self-healing materials. Computational Materials Science, 2011, 50( 12): 3323– 3333
[14]
MookhoekS D, FischerH R, van der ZwaagS. A numerical study into the effects of elongated capsules on the healing efficiency of liquid-based systems. Computational Materials Science, 2009, 47( 2): 506– 511
[15]
LvZ, ChenH. Analytical models for determining the dosage of capsules embedded in self-healing materials. Computational Materials Science, 2013, 68: 81– 89
[16]
GilabertF, GarozD, Van PaepegemW. Stress concentrations and bonding strength in encapsulation-based self-healing materials. Materials & Design, 2015, 67: 28– 41
[17]
LvZ, ChenH, YuanH. Analytical solution on dosage of self-healing agents in cementitious materials: long capsule 229 model. Journal of Intelligent Material Systems and Structures, 2014, 25( 1): 47– 57
[18]
KaltzakortaE, ErkiziaI. Silica microcapsules encapsulating epoxy compounds for self-healing cementitiousmaterials. In: Proceedings of 3rd International Conference on Self Healing Materials. Bath, 2011
[19]
HilloulinB, Van TittelboomK, GruyaertE, de BelieN, LoukiliA. Design of polymeric capsules for self-healing concrete. Cement and Concrete Composites, 2015, 55: 298– 307
MauludinL M, OucifC. The effects of interfacial strength on fractured microcapsule. Frontiers of Structural and Civil Engineering, 2019, 13( 2): 353– 363
[22]
MauludinL M, OucifC. Interaction between matrix crack and circular capsule under uniaxial tension in encapsulation based self-healing concrete. Underground Space, 2018, 3( 3): 181– 189
[23]
MauludinL M, ZhuangX, RabczukT. Computational modeling of fracture in encapsulation-based self-healing concrete using cohesive elements. Composite Structures, 2018, 196: 63– 75
[24]
WriggersP, MoftahS. Mesoscale models for concrete: Homogenisation and damage behaviour. Finite Elements in Analysis and Design, 2006, 42( 7): 623– 636
[25]
HirschT J. Modulus of elasticity of concrete affected by elastic moduli of cement paste matrix and aggregate. Journal Proceedings, 1962, 59: 427– 452
[26]
DaudevilleM L. Role of coarse aggregates in the triaxial behavior of concrete: experimental and numerical analysis. Dissertation for the Doctoral Degree. Cergy-Pontoise: Cergy-Pontoise University, 2014
[27]
DuX, JinL, MaG. Numerical modeling tensile failure behavior of concrete at mesoscale using extended finite element method. International Journal of Damage Mechanics, 2014, 23( 7): 872– 898
[28]
GruyaertE, Van TittelboomK, SucaetJ, AnrijsJ, Van VlierbergheS, DubruelP, de GeestB, RemonJ P, de BelieN. Capsules with evolving brittleness to resist the preparation of self-healing concrete. Construction Materials, 2016, 66 (323): e092
[29]
QuayumM S, ZhuangX, RabczukT. Computational model generation and rve design of self-healing concrete. Frontiers of Structural and Civil Engineering, 2015, 9( 4): 383– 396
[30]
Simulia, Abaqus 6.13 Documentation, 2013
[31]
YangY, NingY, WangC, TongZ. Capsule clusters fabricated by polymerization based on capsule-in-water-in-oil pickering emulsions. Polymer Chemistry, 2013, 4( 21): 5407– 5415
[32]
WangX, JivkovA P. Combined numerical-statistical analyses of damage and failure of 2d and 3d mesoscale hetero geneous concrete. Mathematical Problems in Engineering, 2015, 1– 12
[33]
WangX, XingF, ZhangM, HanN, QianZ. Experimental study on cementitious composites embedded with organic microcapsules. Materials (Basel), 2013, 6( 9): 4064– 4081
[34]
KellerM, SottosN. Mechanical properties of microcapsules used in a self-healing polymer. Experimental Mechanics. 2006, 46(6): 725– 733
[35]
YouY J, KimJ H J, ParkK T, SeoD W, LeeT H. Modification of rule of mixtures for tensile strength estimation of circular GFRP rebars. Polymers, 2017, 9( 12): 682–
[36]
WangJ, SoensH, VerstraeteW, de BelieN. Self-healing concrete by use of microencapsulated bacterial spores. Cement and Concrete Research, 2014, 56: 139– 152
[37]
KanellopoulosA, GiannarosP, Al-TabbaaA. The effect of varying volume fraction of microcapsules on fresh, mechanical and self-healing properties of mortars. Construction & Building Materials, 2016, 122: 577– 593
[38]
LvL, SchlangenE, YangZ, XingF. Micromechanical properties of a new polymeric microcapsule for self-healing cementitious materials. Materials (Basel), 2016, 9( 12): 1025–