The effects of interfacial strength on fractured microcapsule

doi:10.1007/s11709-018-0469-3

Frontiers of Structural and Civil Engineering

2019, Vol. 13

Issue (2): 353-363 https://doi.org/10.1007/s11709-018-0469-3

本期目录

The effects of interfacial strength on fractured microcapsule

Luthfi Muhammad MAULUDIN^1,²(

), Chahmi OUCIF^1,³

¹. Institute of Structural Mechanics, Bauhaus University of Weimar, Weimar 99423, Germany
². Department of Civil Engineering, Politeknik Negeri Bandung (POLBAN), Bandung, 40012, Indonesia
³. Département de Génie Civil, Université des Sciences et de la Technologie, 31000 Oran, Algerie

全文: PDF(4871 KB) HTML

Abstract：

The effects of interfacial strength on fractured microcapsule are investigated numerically. The interaction between crack and microcapsule embedded in mortar matrix is modeled based on cohesive approach. The microcapsules are modelled with variation of core-shell thickness ratio and potential cracks are represented by pre-inserted cohesive elements along the element boundaries of the mortar matrix, microcapsules core, microcapsule shell, and at the interfaces between these phases. Special attention is given to the effects of cohesive fracture on the microcapsule interface, namely fracture strength, on the load carrying capacity and fracture probability of the microcapsule. The effect of fracture properties on microcapsule is found to be significant factor on the load carrying capacity and crack propagation characteristics. Regardless of core-shell thickness ratio of microcapsule, the load carrying capacity of self-healing material under tension increases as interfacial strength of microcapsule shell increases. In addition, given the fixed fracture strength of the interface of microcapsule shell, the higher the ratio core-shell thickness, the higher the probability of microcapsules being fractured.

Key words： interfacial strength cohesive elements microcapsule core-shell thickness ratio fracture properties

收稿日期: 2017-07-28 出版日期: 2019-03-12

Corresponding Author(s): Luthfi Muhammad MAULUDIN

引用本文:

. [J]. Frontiers of Structural and Civil Engineering, 2019, 13(2): 353-363.
Luthfi Muhammad MAULUDIN, Chahmi OUCIF. The effects of interfacial strength on fractured microcapsule. Front. Struct. Civ. Eng., 2019, 13(2): 353-363.

链接本文:

https://academic.hep.com.cn/fsce/CN/10.1007/s11709-018-0469-3
https://academic.hep.com.cn/fsce/CN/Y2019/V13/I2/353

Fig.1

Fig.2

Fig.3

Tab.1

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

Fig.10

Fig.11

Fig.12

1	TRabczuk. Computational methods for fracture in brittle and quasi-brittle solids: state-of-the-art review and future perspectives. ISRN Applied Mathematics, 2013, 2013(2013): 849231
2	TRabczuk, T Belytschko. Cracking particles: a simplied meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering, 2004, 61(13): 2316–2343 https://doi.org/10.1002/nme.1151
3	TRabczuk, T Belytschko. A three-dimensional large deformation meshfree method for arbitrary evolving cracks. Computer Methods in Applied Mechanics and Engineering, 2007, 196(29‒30): 2777–2799 https://doi.org/10.1016/j.cma.2006.06.020
4	TRabczuk, G Zi. A meshfree method based on the local partition of unity for cohesive cracks. Computational Mechanics, 2007, 39(6): 743–760 https://doi.org/10.1007/s00466-006-0067-4
5	PAreias, T Rabczuk. Quasi-static crack propagation in plane and plate structures using set-valued traction-separation laws. International Journal for Numerical Methods in Engineering, 2008, 74(3): 475–505 https://doi.org/10.1002/nme.2182
6	LChen, T Rabczuk, S P ABordas, GLiu, K Zeng, PKerfriden. Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth. Computer Methods in Applied Mechanics and Engineering, 2012, 209 ‒ 212: 250–265 https://doi.org/10.1016/j.cma.2011.08.013
7	HNguyen-Vinh, I Bakar, MMsekh, J HSong, JMuthu, GZi, P Le, SBordas, RSimpson, SNatarajan, TLahmer, TRabczuk. Extended finite element method for dynamic fracture of piezo-electric materials. Engineering Fracture Mechanics, 2012, 92: 19–31 https://doi.org/10.1016/j.engfracmech.2012.04.025
8	CZhang, C Wang, TLahmer, PHe, T Rabczuk. A dynamic xfem formulation for crack identification. International Journal of Mechanics and Materials in Design, 2016, 12(4): 427–448 https://doi.org/10.1007/s10999-015-9312-3
9	NVu-Bac, H Nguyen-Xuan, LChen, SBordas, PKerfriden, RSimpson, GLiu, T Rabczuk. A node-based smoothed extended finite element method (NS-XFEM) for fracture analysis. Computer Modeling in Engineering & Sciences, 2011, 73(4): 331–356
10	FAmiri, D Millán, YShen, TRabczuk, MArroyo. Phase-field modeling of fracture in linear thin shells. Theoretical and Applied Fracture Mechanics, 2014, 69: 102–109 https://doi.org/10.1016/j.tafmec.2013.12.002
11	FAmiri, C Anitescu, MArroyo, S P ABordas, TRabczuk. Xlme interpolants, a seamless bridge between XFEM and enriched meshless methods. Computational Mechanics, 2014, 53(1): 45–57 https://doi.org/10.1007/s00466-013-0891-2
12	Y LGui, H H Bui, J Kodikara, Q BZhang, JZhao, T Rabczuk. Modelling the dynamic failure of brittle rocks using a hybrid continuum-discrete element method with a mixed-mode cohesive fracture model. International Journal of Impact Engineering, 2016, 87: 146–155 https://doi.org/10.1016/j.ijimpeng.2015.04.010
13	V PNguyen, H Lian, TRabczuk, SBordas. Modelling hydraulic fractures in porous media using flow cohesive interface elements. Engineering Geology, 2017, 225: 68–82
14	PAreias, T Rabczuk, DDias-da Costa. Element-wise fracture algorithm based on rotation of edges. Engineering Fracture Mechanics, 2013, 110: 113–137 https://doi.org/10.1016/j.engfracmech.2013.06.006
15	PAreias, T Rabczuk. Finite strain fracture of plates and shells with configurational forces and edge rotations. International Journal for Numerical Methods in Engineering, 2013, 94(12): 1099–1122 https://doi.org/10.1002/nme.4477
16	PAreias, T Rabczuk, PCamanho. Finite strain fracture of 2d problems with injected anisotropic softening elements. Theoretical and Applied Fracture Mechanics, 2014, 72: 50–63 https://doi.org/10.1016/j.tafmec.2014.06.006
17	PAreias, T Rabczuk, MMsekh. Phase-field analysis of finite-strain plates and shells including element subdivision. Computer Methods in Applied Mechanics and Engineering, 2016, 312: 322–350 https://doi.org/10.1016/j.cma.2016.01.020
18	PAreias, M Msekh, TRabczuk. Damage and fracture algorithm using the screened poisson equation and local remeshing. Engineering Fracture Mechanics, 2016, 158: 116–143 https://doi.org/10.1016/j.engfracmech.2015.10.042
19	PAreias, T Rabczuk. Steiner-point free edge cutting of tetrahedral meshes with applications in fracture. Finite Elements in Analysis and Design, 2017, 132: 27–41 https://doi.org/10.1016/j.finel.2017.05.001
20	HRen, X Zhuang, YCai, TRabczuk. Dual-horizon peridynamics. International Journal for Numerical Methods in Engineering, 2016, 108(12): 1451–1476 https://doi.org/10.1002/nme.5257
21	HRen, X Zhuang, TRabczuk. Dual-horizon peridynamics: a stable solution to varying horizons. Computer Methods in Applied Mechanics and Engineering, 2017, 318: 762–782 https://doi.org/10.1016/j.cma.2016.12.031
22	K MHamdia, T Lahmer, TNguyen-Thoi, TRabczuk. Predicting the fracture toughness of pncs: a stochastic approach based on ANN and ANFIS. Computational Materials Science, 2015, 102: 304–313 https://doi.org/10.1016/j.commatsci.2015.02.045
23	K MHamdia, X Zhuang, PHe, TRabczuk. Fracture toughness of polymeric particle nanocomposites: evaluation of models performance using bayesian method. Composites Science and Technology, 2016, 126: 122–129 https://doi.org/10.1016/j.compscitech.2016.02.012
24	HTalebi, M Silani, S PBordas, PKerfriden, TRabczuk. A computational library for multiscale modeling of material failure. Computational Mechanics, 2014, 53(5): 1047–1071 https://doi.org/10.1007/s00466-013-0948-2
25	HTalebi, M Silani, TRabczuk. Concurrent multiscale modeling of three dimensional crack and dislocation propagation. Advances in Engineering Software, 2015, 80: 82–92 https://doi.org/10.1016/j.advengsoft.2014.09.016
26	P RBudarapu, R Gracie, S PBordas, TRabczuk. An adaptive multiscale method for quasi-static crack growth. Computational Mechanics, 2014, 53(6): 1129–1148 https://doi.org/10.1007/s00466-013-0952-6
27	S WYang, P R Budarapu, D R Mahapatra, S P Bordas, G Zi, TRabczuk. A meshless adaptive multiscale method for fracture. Computational Materials Science, 2015, 96: 382–395 https://doi.org/10.1016/j.commatsci.2014.08.054
28	P RBudarapu, R Gracie, S WYang, XZhuang, TRabczuk. Efficient coarse graining in multiscale modeling of fracture. Theoretical and Applied Fracture Mechanics, 2014, 69: 126–143 https://doi.org/10.1016/j.tafmec.2013.12.004
29	BArash, H S Park, T Rabczuk. Tensile fracture behavior of short carbon nanotube reinforced polymer composites: a coarse-grained model. Composite Structures, 2015, 134: 981–988 https://doi.org/10.1016/j.compstruct.2015.09.001
30	BArash, H S Park, T Rabczuk. Coarse-grained model of the J-integral of carbon nanotube reinforced polymer composites. Carbon, 2016, 96: 1084–1092 https://doi.org/10.1016/j.carbon.2015.10.058
31	ZYang, J Hollar, XHe, XShi. A self-healing cementitious composite using oil core/silica gel shell microcapsules. Cement and Concrete Composites, 2011, 33(4): 506–512 https://doi.org/10.1016/j.cemconcomp.2011.01.010
32	HHuang, G Ye. Simulation of self-healing by further hydration in cementitious materials. Cement and Concrete Composites, 2012, 34(4): 460–467 https://doi.org/10.1016/j.cemconcomp.2012.01.003
33	KVan Tittelboom, KAdesanya, PDubruel, PVan Puyvelde, NDe Belie. Methyl methacrylate as a healing agent for self-healing cementitious materials. Smart Materials and Structures, 2011, 20(12): 125016 https://doi.org/10.1088/0964-1726/20/12/125016
34	KVan Tittelboom, NDe Belie. Self-healing in cementitious materials- A review. Materials (Basel), 2013, 6(6): 2182–2217 https://doi.org/10.3390/ma6062182
35	SWhite, S Maiti, AJones, EBrown, NSottos, PGeubelle. Fatigue of self-healing polymers: multiscale analysis and experiments. In: ICF11, Italy, 2005
36	FGilabert, D Garoz, WVan Paepegem. Stress concentrations and bonding strength in encapsulation-based self-healing materials. Materials & Design, 2015, 67: 28–41 https://doi.org/10.1016/j.matdes.2014.11.012
37	EKaltzakorta, I Erkizia. Silica microcapsules encapsulating epoxy compounds for self-healing cementitiousmaterials. In: Proceedings of 3rd International Conference on Self-Healing Materials, Bath, UK, 2011
38	AAlexeev, R Verberg, A CBalazs. Patterned surfaces segregate compliant microcapsules. Langmuir, 2007, 23(3): 983–987 https://doi.org/10.1021/la062914q
39	BHilloulin, K Van Tittelboom, EGruyaert, NDe Belie, ALoukili. Design of polymeric capsules for self-healing concrete. Cement and Concrete Composites, 2015, 55: 298–307 https://doi.org/10.1016/j.cemconcomp.2014.09.022
40	A VSimulia. Abaqus 6.13 documentation. Dassault systemes, 2013
41	TRabczuk, G Zi, SBordas, HNguyen-Xuan. A simple and robust three-dimensional cracking-particle method without enrichment. Computer Methods in Applied Mechanics and Engineering, 2010, 199(37–40): 2437–2455 https://doi.org/10.1016/j.cma.2010.03.031
42	TRabczuk, R Gracie, J HSong, TBelytschko. Immersed particle method for fluid-structure interaction. International Journal for Numerical Methods in Engineering, 2010, 81(1): 48–71
43	TRabczuk, J H Song, T Belytschko. Simulations of instability in dynamic fracture by the cracking particles method. Engineering Fracture Mechanics, 2009, 76(6): 730–741 https://doi.org/10.1016/j.engfracmech.2008.06.002
44	TRabczuk, G Zi, SBordas, HNguyen-Xuan. A geometrically non-linear three-dimensional cohesive crack method for reinforced concrete structures. Engineering Fracture Mechanics, 2008, 75(16): 4740–4758 https://doi.org/10.1016/j.engfracmech.2008.06.019
45	TRabczuk, G Zi, AGerstenberger, WWall. A new crack tip element for the phantom-node method with arbitrary cohesive cracks. International Journal for Numerical Methods in Engineering, 2008, 75(5): 577–599 https://doi.org/10.1002/nme.2273
46	TRabczuk, E Samaniego. Discontinuous modelling of shear bands using adaptive meshfree methods. Computer Methods in Applied Mechanics and Engineering, 2008, 197(6‒8): 641–658 https://doi.org/10.1016/j.cma.2007.08.027
47	TRabczuk, P Areias, TBelytschko. A meshfree thin shell method for non-linear dynamic fracture. International Journal for Numerical Methods in Engineering, 2007, 72(5): 524–548 https://doi.org/10.1002/nme.2013
48	TRabczuk, S Bordas, GZi. A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics. Computational Mechanics, 2007, 40(3): 473–495 https://doi.org/10.1007/s00466-006-0122-1
49	TRabczuk, S Bordas, GZi. On three-dimensional modelling of crack growth using partition of unity methods. Computers & Structures, 2010, 88(23‒24): 1391–1411 https://doi.org/10.1016/j.compstruc.2008.08.010
50	TBelytschko, Y Y Lu, L Gu. Element-free galerkin methods, International Journal for Numerical Methods in Engineering, 1994, 37(2): 229–256 doi:10.1002/nme.1620370205
51	VNguyen, T Rabczuk, SBordas, MDuflot. Meshless methods: a review and computer implementation aspects. Mathematics and Computers in Simulation, 2008, 79(3): 763–813 https://doi.org/10.1016/j.matcom.2008.01.003
52	T JHughes, J A Cottrell, Y Bazilevs. Isogeometric analysis: CAD, finite elements, nurbs, exact geometry and mesh refinement. Computer Methods in Applied Mechanics and Engineering, 2005, 194(39‒41): 4135–4195 https://doi.org/10.1016/j.cma.2004.10.008
53	VNguyen, C Anitescu, SBordas, TRabczuk. Isogeometric analysis: an overview and computer implementation aspects. Mathematics and Computers in Simulation, 2015, 117: 89–116 https://doi.org/10.1016/j.matcom.2015.05.008
54	SGhorashi, N Valizadeh, SMohammadi, TRabczuk. T-spline based xiga for fracture analysis of orthotropic media. Computers & Structures, 2015, 147: 138–146 https://doi.org/10.1016/j.compstruc.2014.09.017
55	NNguyen-Thanh, N Valizadeh, MNguyen, HNguyen-Xuan, XZhuang, PAreias, GZi, Y Bazilevs, LDe Lorenzis, TRabczuk. An extended isogeometric thin shell analysis based on kirchhoff-love theory. Computer Methods in Applied Mechanics and Engineering, 2015, 284: 265–291 https://doi.org/10.1016/j.cma.2014.08.025
56	NNguyen-Thanh, H Nguyen-Xuan, SBordas, TRabczuk. Isogeometric analysis using polynomial splines over hierarchical T-meshes for two dimensional elastic solids. Computer Methods in Applied Mechanics and Engineering, 2011, 200(21‒22): 1892–1908 https://doi.org/10.1016/j.cma.2011.01.018
57	NNguyen-Thanh, J Kiendl, HNguyen-Xuan, RWüchner, KBletzinger, YBazilevs, TRabczuk. Rotation free isogeometric thin shell analysis using pht-splines. Computer Methods in Applied Mechanics and Engineering, 2011, 200(47‒48): 3410–3424 https://doi.org/10.1016/j.cma.2011.08.014
58	HGhasemi, H Park, TRabczuk. A level-set based iga formulation for topology optimization of exoelectric materials. Computer Methods in Applied Mechanics and Engineering, 2017, 313: 239–258 https://doi.org/10.1016/j.cma.2016.09.029
59	M SQuayum, X Zhuang, TRabczuk. Computational model generation and RVE design of self-healing concrete. Frontiers of Structural and Civil Engineering, 2015, 9(4): 383–396 https://doi.org/10.1007/s11709-015-0320-z
60	XWang, A P Jivkov. Combined numerical-statistical analyses of damage and failure of 2D and 3D mesoscale heterogeneous concrete. Mathematical Problems in Engineering, 2015, 501: 702563
61	K MHamdia, M A Msekh, M Silani, NVu-Bac, XZhuang, TNguyen-Thoi, TRabczuk. Uncertainty quantification of the fracture properties of polymeric nanocomposites based on phase field modeling. Composite Structures, 2015, 133: 1177–1190 https://doi.org/10.1016/j.compstruct.2015.08.051
62	NVu-Bac, T Lahmer, XZhuang, TNguyen-Thoi, TRabczuk. A software framework for probabilistic sensitivity analysis for computationally expensive models. Advances in Engineering Software, 2016, 100: 19–31 https://doi.org/10.1016/j.advengsoft.2016.06.005

Viewed

Full text

Abstract

Cited

Shared

Discussed