Computational modeling of fracture in capsule-based self-healing concrete: A 3D study

doi:10.1007/s11709-021-0781-1

Front. Struct. Civ. Eng.

2021, Vol. 15

Issue (6) : 1337-1346 https://doi.org/10.1007/s11709-021-0781-1

RESEARCH ARTICLE

Computational modeling of fracture in capsule-based self-healing concrete: A 3D study

Luthfi Muhammad MAULUDIN¹, Timon RABCZUK²(

)

¹. Civil Engineering Department, Gegerkalong Hilir Ds.Ciwaruga, Bandung 40012, Indonesia
². Institute of Structural Mechanics, Bauhaus University of Weimar, Weimar 99425, Germany

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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.

Keywords 3D fracture self-healing concrete spherical cohesive elements heterogeneous

Corresponding Author(s): Timon RABCZUK

Just Accepted Date: 19 November 2021 Online First Date: 17 December 2021 Issue Date: 21 January 2022

Cite this article:

Luthfi Muhammad MAULUDIN,Timon RABCZUK. Computational modeling of fracture in capsule-based self-healing concrete: A 3D study[J]. Front. Struct. Civ. Eng., 2021, 15(6): 1337-1346.

URL:

https://academic.hep.com.cn/fsce/EN/10.1007/s11709-021-0781-1
https://academic.hep.com.cn/fsce/EN/Y2021/V15/I6/1337

Fig.1 Illustration of a capsule-based self-healing method initiating the healing process.

Tab.1 Distribution of aggregate size [25]

Fig.2 Numerically generated 2D mesomodels with different realizations (volume fraction of capsules = 2%). (a) Realization 1; (b) realization 2; (c) realization 3; (d) realization 4.

Fig.3 Numerically generated 3D mesomodels with different realizations for capsule-based self-healing concrete (volume fraction of capsules = 2%). (a) Realization 1; (b) realization 2; (c) realization 3; (d) realization 4.

Fig.4 bilinear traction-separation law for cohesive elements.

Tab.2 Properties of the specimens

Fig.5 Geometry dimensions, boundary, and loading conditions. (a) Schematic 2D model; (b) schematic 3D model.

Fig.6 Mesh densities used for mesh-dependence study. (a) Coarse mesh; (b) medium mesh; (c) fine mesh.

Fig.7 Mechanical responses for different mesh densities (volume fraction of capsules = 2%).

Fig.8 Final crack surfaces from different mesh densities. (a) Coarse mesh; (b) medium mesh; (c) fine mesh.

Fig.9 Stress-displacement curves from different realization microstructures with identical mesh densities (volume fraction of capsules = 2%).

Fig.10 Numerical samples with different volume fraction of capsules. (a) V_f = 0%; (b) V_f = 2%; (c) V_f = 5%; (d) V_f = 10% (V_f: volume fraction of capsules).

Fig.11 Comparison of stress-displacement from statistical results (V_f = 5%).

Fig.12 Comparison of dissipation energy from statistical results (V_f = 5%).

Fig.13 Variation of standard deviation curves of peak stress from 2D and 3D samples (V_f = 5%).

Fig.14 Stress behavior from variation amount of capsules.

Fig.15 Peak stress extracted from statistical analysis.

Fig.16 Dissipation energy behavior from variation amount of capsules.

Fig.17 Typical type of fracture evolutions from 3D samples (V_f = 10%) with corresponding displacements. (a) d = 0.002 mm; (b) d = 0.005 mm; (c) d = 0.01 mm; (d) d = 0.0175 mm.

Fig.18 Cutting view of cracking surface evolutions from 3D specimen (V_f = 10%) with corresponding displacements. (a) d = 0.002 mm; (b) d = 0.005 mm; (c) d = 0.01 mm; (d) d = 0.0175 mm.

Fig.19 3D fracture model under uniaxial tension. (a) 3D fracture without cohesive elements; (b) 3D morphology of failed surface from cutting view model.

Fig.20 Breakage of capsules in tension (only capsules are shown without aggregates and mortar matrix). (a) 3D damaged cohesive elements on capsule shells; (b) 3D breakage morphology of capsules.

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