Modeling of Crack Self-Healing Kinetics
Source abstract
Abstract
A model based on the concept of interface crack bridging and thermofluctuation theory is proposed for analyzing the efficiency of crack self-healing in composite materials in view of three main stages: (1) crack initiation and growth under external load, (2) self-healing activation, and (3) self-healing with partial or complete bond recovery between crack faces. A system of singular integro-differential equations is derived for numerical estimations of bond tractions in bridging zones during their formation and stress intensity factors (major characteristics of crack self-healing efficiency) with account of external loads and bond tractions. Kinetic estimates are presented for the time of bond recovery during the formation of a crack bridging zone. The model is applied to an interface crack between two dissimilar materials with a self-healing adhesive.
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Research context
OpenAlex topics: Microbial Applications in Construction Materials · Polymer composites and self-healing · Structural mechanics and materials
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (38)
Show source-provided references
1. Recent Advances in Smart Self-Healing Polymers and Composites, Li, G. and Meng, H., Eds., New York: Woodhead Publishing, 2015.
2. Sitnikov, N.N., Khabibulina, I.A., Mashchenko, V.I., Rizakhanov, R.N. Prospects of Application of Self-Healing Materials and Technologies Based on Them,Inorg. Mater.Appl. Res., 2018, vol. 9. no. 5, pp. 785–793.10.1134/S207511331805026X ↗
3. Snoeck, D., Malm, F., Cnudde, V., Grosse, C.U., and van Tittelboom, K., Validation of Self-Healing Properties of Construction Materials through Nondestructive and Minimal Invasive Testing, Adv. Mater. Interfaces, 2018, vol. 5, no. 17, pp. 1–28.10.1002/admi.201800179 ↗
4. Dansereau, V., Weiss, J., Saramito, P., and Lattes, P., A Maxwell Elasto-Brittle Rheology for Sea Ice Modelling,Cryosphere, 2016, vol. 10, pp. 1339–1359.10.5194/tc-10-1339-2016 ↗
5. Volynskii, A.L. and Bakeev, N.F., Healing of Interfacial Surface in Polymer Systems, Polymer Sci.A, 2009, vol. 51, no. 10, pp. 1096–1126.10.1134/S0965545X09100071 ↗
6. White, S.R., Sottos, N.R., Geubelle, P.H., Moore, J.S., Kessler, M.R., Sriram, S.R., Brown, E.N., and Viswanathan, S., Autonomic Healing of Polymer Composites,Nature, 2001, vol. 409, pp. 794–797.10.1038/35057232 ↗
7. Toohey, K.S., Sottos, N.R., Lewis, J.A., Moore, J.S., and White, S.R., Self-Healing Materials with Microvascular Networks, Nature, 2007, no. 6, pp. 581–586.10.1038/nmat1934 ↗
8. Bor, T.C., Warnet, L., Akkerman, R., and de Boer, A., Modeling of Stress Development during Thermal Damage Healing in Fiber-Reinforced Composite Materials Containing Embedded Shape Memory Alloy Wires, J. Compos. Mater., 2010, vol. 44, no. 22, pp. 2547–2572.10.1177/0021998310371532 ↗
9. Zhang, W., Sakalkar, V., and Koratkara, N., In Situ Health Monitoring and Repair in Composites Using Carbon Nanotube Additives, Appl. Phys. Lett., 2007, vol. 91, pp. 133100–133102.10.1063/1.2783970 ↗
10. Lanzara, G., Yoon, Y., Liu, H., Peng, S., and Lee, W.-I., Carbon Nanotube Reservoirs for Self-Healing Naterials,Nanotechnology, 2009, vol. 20, pp. 335704-335707.10.1088/0957-4484/20/33/335704 ↗
11. Greil, P., Generic Principles of Crack-Healing Ceramics, J. Adv. Ceramics, 2012, vol. 1, no. 4, pp. 249–267.10.1007/s40145-012-0020-2 ↗
12. Tavangarian, F., Hui, D., and Li, G., Crack-Healing in Ceramics, Compos. Eng. B, 2018, vol. 144, pp. 56–87.10.1016/j.compositesb.2018.02.025 ↗
13. Zhang, S., Kwakernaak, C., Sloof, W., Brück, E., Zwaag, S., and Dijk, N., Self Healing of Creep Damage by Gold Precipitation in Iron Alloys, Adv. Eng. Mater., 2015, vol. 17, pp. 598–603.10.1002/adem.201400511 ↗
14. Guntur, K., Amano, R.S., Lucci, J.M., Rohatgi, P.K., and Schultz, B., Self-Healing Technology for Compressor and Turbine Blades, in ASME Turbo Expo 2009: Power for Land, Sea, and Air, V. 4: Cycle Innovations; Industrial and Cogeneration; Manufacturing Materials and Metallurgy, New York: ASME Press, 2009.10.1115/GT2009-59130 ↗
15. Khaliq, W. and Ehsan, M.B., Crack Healing in Concrete Using Various Bio Influenced Self-Healing Techniques,Construct. Build. Mater. Part 1, 2016, vol. 102, pp. 349–357.10.1016/j.conbuildmat.2015.11.006 ↗
16. van Tittelboom, K. and de Belie, N., Self-Healing in Cementitious Materials—A Review, Materials, 2013, vol. 6, no. 6, pp. 2182–2217.10.3390/ma6062182 ↗
17. Zhang, F., Ju, P., Pan, M., Zhang, D., Huang, Y., Li, G., and Li, X., Self-Healing Mechanisms in Smart Protective Coatings: A Review, Corros. Sci., 2018, vol. 144, pp. 74–88. doi 10.1016/j.corsci.2018.08.00510.1016/j.corsci.2018.08.005 ↗
18. Lucas, S.S., Tapavicza, M., Schmidt, A.M., Bertling, J., and Nellesen, A., Study of Quantification Methods in Self-Healing Ceramics, Polymers and Concrete: A Route Towards Standardization, J. Int. Mater. Syst. Struct., 2016, no. 1, pp. 1–22.
19. Maiti, S., Shankar, C., Geubelle, P.H., and Kieffer, J., Continuum and Molecular-Level Modeling of Fatigue Crack Retardation in Self-Healing Polymers, J. Eng. Mater. Technol., 2006, vol. 128, pp. 595–602.10.1115/1.2345452 ↗
20. Ural, A., Krishnan, V.R., and Papoulia, K.D., A Cohesive Zone Model for Fatigue Crack Growth Allowing for Crack Retardation, Int. J. Solid. Struct., 2009, vol. 46, pp. 2453–2462.10.1016/j.ijsolstr.2009.01.031 ↗
21. Mergheim, J. and Steinmann, P., Phenomenological Modeling of Self-Healing Polymers Based on Integrated Healing Agents, Comput. Mech., 2013, vol. 52, pp. 681–692.10.1007/s00466-013-0840-0 ↗
22. Alsheghri, A.A. and Abu Al-Rub, R.K., Finite Element Implementation and Application of a Cohesive Zone Damage–Healing Model for Self-Healing Materials, Eng. Fract. Mech., 2016, vol. 163, pp. 1–22.10.1016/j.engfracmech.2016.06.010 ↗
23. Ozaki, S., Osada, T., and Nakao, W., Finite Element Analysis of the Damage and Healing Behavior of Self-Healing Ceramic Materials, Int. J. Solid. Struct., 2016, vol. 100, pp. 307–318.10.1016/j.ijsolstr.2016.08.026 ↗
24. Ponnusami, S.A., Krishnasamy, J., Turteltaub, S., and Zwaag, S., A Cohesive-Zone Crack Healing Model for Self-Healing Materials, Int. J. Solid. Struct., 2018, vol. 134, pp. 249-263. doi 10.1016/j.ijsolstr.2017.11.00410.1016/j.ijsolstr.2017.11.004 ↗
25. Javierre, E., Modeling Self-Healing Mechanisms in Coatings: Approaches and Perspectives,Coatings, 2019, vol. 9, pp. 1–19. doi 10.3390/coatings902012210.3390/coatings9020122 ↗
26. Goldstein, R.V. and Perelmuter, M.N., An Interface Crack with Bonds between the Surfaces, Mech.Solids, 2001, vol. 36, no. 1, pp. 77–92.
27. Goldstein, R.V. and Perelmuter, M.N., Kinetics of Crack Formation and Growth on the Material Interface,Mech. Solids, 2012, vo. 47, no. 4, pp. 400–414.10.3103/S002565441204005X ↗
28. Slepyan, L.I., Mechanics of Cracks, Leningrad: Sudostroenie, 1981.
29. Rice, J.R. and Sih, G.C., Plane Problems of Cracks in Dissimilar Media, Trans. ASME. J. Appl. Mech., 1965, vol. 32, pp. 218–224.10.1115/1.3625816 ↗
30. Rice, J.R., Elastic Fracture Mechanics Concepts for Interfacial Cracks, Trans. ASME J. Appl. Mech., 1988, vol. 55, pp. 98–103.10.1115/1.3173668 ↗
31. Zhurkov, S.N., Kinetic Concept of the Strength of Solids, Vestn. Akad.Nauk SSSR, 1968, no. 3, pp. 46–52.
32. Perelmuter, M., Kinetics of Interfacial Crack Bridged Zone Degradation, J. Phys. Conf. Ser., 2013, vol. 451, pp. 1–8.10.1088/1742-6596/451/1/012012 ↗
33. Banea, M.D., da Silva, L.F.M., Campilho, R.D., and Sato, C., Smart Adhesive Joints: An Overview of Recent Developments, J. Adhesion., 2014, vol. 90, pp. 16–40.10.1080/00218464.2013.785916 ↗
34. Wu, J., Zhou, C., Ruan, J., Weir, M.D., Tay, F., Sun, J., Melo, M.A.S., Oates, T.W., Chang, X., and Xu, H.H., Self-Healing Adhesive with Antibacterial Activity in Water-Aging for 12 Months, Dent. Mater., 2019. doi 10.1016/j.dental.2019.05.00410.1016/j.dental.2019.05.004 ↗
35. Perelmuter, M., Application of the Bridged Crack Model for Evaluation of Materials Repairing and Self-Healing,J. Phys. Conf. Ser., 2017, vol. 937, pp. 1–7.10.1088/1742-6596/937/1/012039 ↗
36. Khawam, A. and Flanagan, D.R., Solid-State Kinetic Models: Basics and Mathematical Fundamentals, J. Phys. Chem. B, 2006, vol. 110, pp. 17315–17328.10.1021/jp062746a ↗
37. Regel, V.G., Slutsker, A.I., and Tomashevsky, E.E.,Kinetic Nature of the Strength of Solids, Moscow: Nauka, 1974.
38. Boatemaa, L., van der Zwaag, S., and Sloof, W.G., Self-Healing of Al2O3 Containing Ti Microparticles, Ceramics Int., 2018, vol. 44, pp. 11116–11126.10.1016/j.ceramint.2018.03.119 ↗