Technical Papers
May 15, 2018

Nonlinear Superhealing and Contribution to the Design of a New Strengthening Theory

Publication: Journal of Engineering Mechanics
Volume 144, Issue 7

Abstract

Self-healing materials have recently become more popular due to their capability of self-repairing cracks and rehabilitation of structures. Recent research has revealed that self-healing presents a crucial solution for the strengthening of the materials. This new concept has been termed superhealing. Once the stiffness of the material is recovered, further healing can result in a strengthening of the material. This work presents a refined theory of the superhealing model within the framework of continuum damage mechanics. The proposed refined theory is extended in this paper from linear to nonlinear superhealing theory. The general framework of continuum damage-healing mechanics is first reviewed. Following that, the concepts of healing and superhealing of materials are introduced along with both their isotropic and anisotropic presentation. The proposed linear refined theory of superhealing materials and its anisotropic definition are presented using sound mathematical and mechanical principles. Afterwards, the nonlinear formulation of the refined superhealing theory and its anisotropic presentation are introduced. In addition, the link of the proposed theory with the theory of undamageable materials is outlined. Examples for the case of plane stress and one-dimensional element are demonstrated in which the refined theory of superhealing is applied. The aim of the present work is to present the proposed refined theory and provide guidance regarding the concept of the new theory that can be applied in manufacturing technology in the future. It is hoped that the new theory will open an area of new research in materials science and pave the way for new technologies that can be exploited for rehabilitation of structures.

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Acknowledgments

The first author would like to acknowledge the Deutscher Akademischer Austauschdienst (DAAD) for the financial support of this work.

References

Areias, P., M. A. Msekh, and T. Rabczuk. 2016. “Damage and fracture algorithm using the screened Poisson equation and local remeshing.” Eng. Fract. Mech. 158: 116–143. https://doi.org/10.1016/j.engfracmech.2015.10.042.
Barbero, E. J., F. Greco, and P. Lonetti. 2005. “Continuum damage-healing mechanics with application to self healing composites.” Int. J. Damage Mech. 14 (1): 51–81. https://doi.org/10.1177/1056789505045928.
Basaran, C., and S. Nie. 2004. “An irreversible thermodynamic theory for damage mechanics of solids.” Int. J. Damage Mech. 13 (3): 205–223. https://doi.org/10.1177/1056789504041058.
Basaran, C., and C. Y. Yan. 1998. “A thermodynamic framework for damage mechanics of solder joints.” J. Electron. Packag. 120 (4): 379–384. https://doi.org/10.1115/1.2792650.
Brencich, A., and L. Gambarotta. 2001. “Isotropic damage model with different tensile-compressive response for brittle materials.” Int. J. Solids Struct. 38 (34–35): 5865–5892. https://doi.org/10.1016/S0020-7683(00)00386-3.
Breugel, K. V. 2012. “Self-healing material concepts as solution for aging infrastructure.” In Proc., 37th Conf. on Our World in Concrete and Structures. Singapore: CI-Premier Pte Ltd.
Brown, E. N., N. R. Sottos, and S. R. White. 2002. “Fracture testing of a self-healing polymer composite.” Exp. Mech. 42 (4): 372–379. https://doi.org/10.1007/BF02412141.
Brown, E. N., S. R. White, and N. R. Sottos. 2004. “Microcapsule induced toughening in a self-healing polymer composite.” J. Mater. Sci. 39 (5): 1703–1710. https://doi.org/10.1023/B:JMSC.0000016173.73733.dc.
Brown, E. N., S. R. White, and N. R. Sottos. 2005. “Retardation and repair of fatigue cracks in a microcapsule toughened epoxy composite. Part II: In situ self-healing.” Compos. Sci. Technol. 65 (15–16): 2474–2480. https://doi.org/10.1016/j.compscitech.2005.04.053.
Brown, E. N., S. R. White, and N. R. Sottos. 2006. “Fatigue crack propagation in microcapsule-toughened epoxy.” J. Mater. Sci. 41 (19): 6266–6273. https://doi.org/10.1007/s10853-006-0512-y.
Choi, J. 2014. “Comparative study of effective stresses of concrete beams strengthened using carbon-fibre-reinforced polymer and external prestressing tendons.” Struct. Infrastruct. Eng. 10 (6): 753–766. https://doi.org/10.1080/15732479.2012.759977.
Darabi, M. K., R. K. Abu Al-Rub, and D. N. Little. 2012. “A continuum damage mechanics framework for modeling micro-damage healing.” Int. J. Solids Struct. 49 (3–4): 492–513. https://doi.org/10.1016/j.ijsolstr.2011.10.017.
Dong, B., G. Fang, Y. Wang, Y. Liu, S. Hong, J. Zhang, S. Lin, Y. Liu, and F. Xing. 2016. “Performance recovery concerning the permeability of concrete by means of a microcapsule based self-healing system.” Cem. Concr. Compos. 78: 84–96. https://doi.org/10.1016/j.cemconcomp.2016.12.005.
Dry, C. 1994. “Matrix cracking repair and filling using active and passive modes for smart timed release of chemicals from fibers into cement matrices.” Smart Mater. Struct. 3 (2): 118–123. https://doi.org/10.1088/0964-1726/3/2/006.
Dry, C. M., and N. R. Sottos. 1993. “Passive smart self-repair in polymer matrix composite materials.” Smart Mater. Struct. 1916: 1–7.
Gardner, D., A. Jefferson, A. Hoffman, and R. Lark. 2014. “Simulation of the capillary flow of an autonomic healing agent in discrete cracks in cementitious materials.” Cem. Concr. Res. 58: 35–44. https://doi.org/10.1016/j.cemconres.2014.01.005.
Giannaros, P., A. Kanellopoulos, and A. Al-Tabbaa. 2016. “Sealing of cracks in cement using microencapsulated sodium silicate.” Smart Mater. Struct. 25 (8): 084005 https://doi.org/10.1088/0964-1726/25/8/084005.
Granger, S., A. Loukili, G. Pijaudier-Cabot, and G. Chanvillard. 2007. “Experimental characterization of the self-healing of cracks in an ultra high performance cementitious material: Mechanical tests and acoustic emission analysis.” Cem. Concr. Res. 37 (4): 519–527. https://doi.org/10.1016/j.cemconres.2006.12.005.
Gunel, E. M., and C. Basaran. 2011a. “Damage characterization in non-isothermal stretching of acrylics. Part I: Theory.” Mech. Mater. 43 (12): 979–991. https://doi.org/10.1016/j.mechmat.2011.09.002.
Gunel, E. M., and C. Basaran. 2011b. “Damage characterization in non-isothermal stretching of acrylics. Part II: Experimental validation.” Mech. Mater. 43 (12): 992–1012. https://doi.org/10.1016/j.mechmat.2011.09.003.
Hearn, N. 1998. “Self-sealing, autogenous healing and continued hydration: What is the difference?” Mater. Struct. 31: 563–567.
Hilloulin, B., F. Grondin, M. Matallah, and A. Loukili. 2014. “Modelling of autogenous healing in ultra high performance concrete.” Cem. Concr. Res. 61–62: 64–70. https://doi.org/10.1016/j.cemconres.2014.04.003.
Joseph, C., A. D. Jefferson, and M. B. Cantoni. 2007. “Issues relating to the autonomic healing of cementitious materials.” In Proc., 1st Int. Conf. on Self-healing Materials, 1–8. Berlin, Germany: Springer.
Joseph, C., A. D. Jefferson, B. Isaacs, R. Lark, and D. Gardner. 2010. “Experimental investigation of adhesive-based self-healing of cementitious materials.” Mag. Concr. Res. 62 (11): 831–843. https://doi.org/10.1680/macr.2010.62.11.831.
Joseph, C., R. Lark, T. Jefferson, and D. Gardner. 2009. “Potential application of self-healing materials in the construction industry.”. Cardiff, UK: Cardiff Univ.
Kachanov, L. 1958. “On the creep fracture time.” Izv Akad, Nauk USSR Otd Tech. 8: 26–31.
Lia, V. C., Y. M. Limb, and Y. W. Chanc. 1998. “Feasibility study of a passive smart self-healing cementitious composite.” Composites Part B 29 (6): 819–827. https://doi.org/10.1016/S1359-8368(98)00034-1.
Patel, A. J., N. R. Sottos, E. D. Wetzel, and S. R. White. 2010. “Autonomic healing of low velocity impact damage in fiber-reinforced composites.” Composites Part A 41 (3): 360–368. https://doi.org/10.1016/j.compositesa.2009.11.002.
Rabczuk, T., J. Akkermann, and J. Eibl. 2005. “A numerical model for reinforced concrete structures.” Int. J. Solids Struct. 42 (5–6): 1327–1354. https://doi.org/10.1016/j.ijsolstr.2004.07.019.
Sosnovskiy, L. A., and S. S. Sherbakov. 2016. “Mechanothermodynamic entropy and analysis of damage state of complex systems.” Entropy 18: 268 https://doi.org/10.3390/e18070268.
Thai, T. Q., T. Rabczuk, Y. Bazilevs, and G. Meschke. 2016. “A higher-order stress-based gradient-enhanced damage model based on isogeometric analysis.” Comput. Methods Appl. Mech. Eng. 304: 584–604. https://doi.org/10.1016/j.cma.2016.02.031.
Tittelboom, K. V., N. D. Belie, D. V. Loo, and P. Jacobs. 2011. “Self-healing efficiency of cementitious materials containing tubular capsules filled with healing agent.” Cem. Concr. Compos. 33 (4): 497–505. https://doi.org/10.1016/j.cemconcomp.2011.01.004.
Voyiadjis, G. Z. 1988. “Degradation of elastic modulus in elastoplastic coupling with finite strains.” Int. J. Plast. 4 (4): 335–353. https://doi.org/10.1016/0749-6419(88)90023-X.
Voyiadjis, G. Z., and P. I. Kattan. 1992. “A plasticity-damage theory for large deformation of solids-I. Theoretical formulation.” Int. J. Eng. Sci. 30 (9): 1089–1108. https://doi.org/10.1016/0020-7225(92)90059-P.
Voyiadjis, G. Z., and P. I. Kattan. 1999. Advances in damage mechanics: Metals and metal matrix composites. Baton Rouge, LA: Louisiana State Univ.
Voyiadjis, G. Z., and P. I. Kattan. 2012a. “A new class of damage variables in continuum damage mechanics.” J. Eng. Mater. Technol. 134 (2): 021015. https://doi.org/10.1115/1.4006067.
Voyiadjis, G. Z., and P. I. Kattan. 2012b. “Mechanics of damage processes in series and in parallel: A conceptual framework.” Acta Mech. 223 (9): 1863–1878. https://doi.org/10.1007/s00707-012-0678-0.
Voyiadjis, G. Z., and P. I. Kattan. 2012c. “On the theory of elastic undamageable materials.” J. Eng. Mater. Technol. 135 (2): 1–7.
Voyiadjis, G. Z., and P. I. Kattan. 2013a. “Healing and super healing in continuum damage mechanics.” Int. J. Damage Mech. 24 (2): 245–260.
Voyiadjis, G. Z., and P. I. Kattan. 2013b. “Introduction to the mechanics and design of undamageable materials.” Int. J. Damage Mech. 22 (3): 323–335. https://doi.org/10.1177/1056789512446518.
Voyiadjis, G. Z., and P. I. Kattan. 2015. “Investigation of the damage variable basic issues in continuum damage and healing mechanics.” Mech. Res. Commun. 68: 89–94. https://doi.org/10.1016/j.mechrescom.2015.02.006.
Voyiadjis, G. Z., and P. I. Kattan. 2016. “Mechanics of damage, healing, damageability, and integrity of materials: A conceptual framework.” Int. J. Damage Mech. 26 (1): 1–54.
Voyiadjis, G. Z., and P. I. Kattawn. 2014. “Governing differential equations for the mechanics of undamageable materials.” Eng. Trans. 62 (6): 241–267.
Voyiadjis, G. Z., A. Shojaei, and P. I. Kattan. 2011a. “Continuum damage-healing mechanics with introduction to new healing variables.” Int. J. Damage Mech. 21 (3): 391–414. https://doi.org/10.1177/1056789510397069.
Voyiadjis, G. Z., A. Shojaei, and G. Li. 2011b. “A thermodynamic consistent damage and healing model for self-healing materials.” Int. J. Plast. 27 (7): 1025–1044. https://doi.org/10.1016/j.ijplas.2010.11.002.
Voyiadjis, G. Z., A. Shojaei, G. Li, and P. I. Kattan. 2011c. “A theory of anisotropic healing and damage mechanics of materials.” Proc. R. Soc. A 468 (2137): 1–23.
Wang, J. Y., H. Soens, W. Verstraete, and N. DeBelie. 2014. “Self-healing concrete by use of microencapsulated bacterial spores.” Cem. Concr. Res. 56: 139–152. https://doi.org/10.1016/j.cemconres.2013.11.009.
White, S. R., N. R. Sottos, P. H. Geubelle, J. S. Moore, M. R. Kessler, S. R. Sriram, E. N. Brown, and S. Viswanathan. 2001. “Autonomic healing of polymer composite.” Nature 409 (6822): 794–797. https://doi.org/10.1038/35057232.
Yang, Y., M. D. Lepech, E. H. Yang, and V. C. Li. 2009. “Autogenous healing of engineered cementitious composites under wet-dry cycles.” Cem. Concr. Res. 39 (5): 382–390. https://doi.org/10.1016/j.cemconres.2009.01.013.
Yao, W., and C. Basaran. 2013. “Electromigration damage mechanics of lead-free solder joints under pulsed DC loading: A computational model.” Comput. Mater. Sci. 71: 76–88. https://doi.org/10.1016/j.commatsci.2013.01.016.
Zhu, H., S. Zhou, Z. Yan, J. W. Ju, and Q. Chen. 2014. “A two-dimensional micromechanical damage-healing model on microcrack-induced damage for microcapsule-enabled self-healing cementitious composites under tensile loading.” Int. J. Damage Mech. 24 (1): 95–115. https://doi.org/10.1177/1056789514522503.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 144Issue 7July 2018

History

Received: Jul 19, 2017
Accepted: Jan 29, 2018
Published online: May 15, 2018
Published in print: Jul 1, 2018
Discussion open until: Oct 15, 2018

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Authors

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Chahmi Oucif [email protected]
Postgraduate Student, Institute of Structural Mechanics, Bauhaus-Universität Weimar, Marienstraße 15, D-99423 Weimar, Germany. Email: [email protected]
George Z. Voyiadjis, Dist.M.ASCE [email protected]
Professor, Dept. of Civil and Environmental Engineering, Louisiana State Univ., Baton Rouge, LA 70803 (corresponding author). Email: [email protected]
Peter I. Kattan [email protected]
Independent Researcher, Petra Books, P.O. Box 1392, Amman 11118, Jordan. Email: [email protected]; [email protected]
Timon Rabczuk [email protected]
Professor, College of Civil Engineering, Dept. of Geotechnical Engineering, Tongji Univ., Shanghai 200092, China. Email: [email protected]

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