Chemical-diffusive modeling of the self-healing behavior in concrete

Abstract In recent years, there has been an increasing trend in the study of self-healing materials with applications in different technological fields. These materials have the ability to retrieve their mechanical properties once the material is damaged. To model the behavior of this type of materials, new concept models have been developed based on extended mechanical variables that control simultaneously, both degradation and self-healing processes, i.e., damage and healing. In this paper, an uncoupled healing model for concrete, rationally based on physicochemical issues, is developed and numerically implemented. Although damage is a topic widely studied, healing, on the contrary, is a relatively novel concept for which not too much information is available both theoretically and experimentally in the branch of concrete mechanics. The model here proposed is available for concrete-based materials for which the healing mechanism is activated through precipitation of calcium carbonate inside the cracks, which covers a wide range of engineering applications. Two representative examples are implemented with the first mainly devoted to verification and parametric analysis while the seconds try to analyze a more realistic although still simplified application. Even though the model requires further validation, preliminary results show the influence on results of different model parameters as well as the qualitative trends available from experimental evidences shown in the literature.

[1]  Dallas N. Little,et al.  Exploring Mechanism of H ealing in Asphalt Mixtures and Quantifying its Impact , 2007 .

[2]  Carola Edvardsen,et al.  Water Permeability and Autogenous Healing of Cracks in Concrete , 1999 .

[3]  Michael D. Lepech,et al.  Water permeability of engineered cementitious composites , 2009 .

[4]  J. Chermant,et al.  Damage mechanics applied to concrete reinforced with amorphous cast iron fibers, concrete subjected to compression , 1999 .

[5]  S. Qian,et al.  Using natural wood fibers to self heal concrete , 2008 .

[6]  W. Verstraete,et al.  Use of bacteria to repair cracks in concrete , 2010 .

[7]  U. Stigh,et al.  Continuum damage mechanics revised: A principle for mechanical and thermal equivalence , 2004 .

[8]  David V. Phillips,et al.  A simplified isotropic damage model for concrete under bi-axial stress states , 2005 .

[9]  Gilles Pijaudier-Cabot,et al.  Experimental characterization of the self-healing of cracks in an ultra high performance cementitious material: Mechanical tests and acoustic emission analysis , 2007 .

[10]  Diane Ruth Gardner,et al.  Self-healing cementitious materials: a review of recent work , 2011 .

[11]  Shunzhi Qian,et al.  Influence of curing condition and precracking time on the self-healing behavior of Engineered Cementitious Composites , 2010 .

[12]  Mohamed Maalej,et al.  Effect of Fiber Volume Fraction on the Off‐Crack‐Plane Fracture Energy in Strain ‐Hardening Engineered Cementitious Composites , 1995 .

[13]  Huisheng Shi,et al.  Investigation of self-healing behavior of Engineered Cementitious Composites (ECC) materials , 2012 .

[14]  Iuliu Sorin Pop,et al.  A Stefan problem modelling crystal dissolution and precipitation , 2007 .

[15]  Petros G. Koutsoukos,et al.  Kinetics of Precipitation of Calcium Carbonate in Alkaline pH at Constant Supersaturation. Spontaneous and Seeded Growth , 1998 .

[16]  F. Glasser,et al.  The reaction between cement and natural waters containing dissolved carbon dioxide , 1992 .

[17]  D. J. Cook,et al.  A mathematical model for the prediction of damage in concrete , 1981 .

[18]  V. Li,et al.  TENSILE STRAIN-HARDENING BEHAVIOR OF POLYVINYL ALCOHOL ENGINEERED CEMENTITIOUS COMPOSITE (PVA-ECC) , 2001 .

[19]  John A. Adam,et al.  A simplified model of wound healing (with particular reference to the critical size defect) , 1999 .

[20]  Henk M. Jonkers,et al.  Quantification of crack-healing in novel bacteria-based self-healing concrete , 2011 .

[21]  Hubert Rahier,et al.  Influence of mix composition on the extent of autogenous crack healing by continued hydration or calcium carbonate formation , 2012 .

[22]  Björn Johannesson,et al.  A review : Self-healing in cementitious materials and engineered cementitious composite as a self-healing material , 2012 .

[23]  V. Li On Engineered Cementitious Composites (ECC) , 2003 .

[24]  Howard L. Schreyer,et al.  Constitutive Models for Healing of Materials with Application to Compaction of Crushed Rock Salt , 1995 .

[25]  Wieland Ramm,et al.  Autogenous healing and reinforcement corrosion of water-penetrated separation cracks in reinforced concrete , 1998 .

[26]  J. Chaboche,et al.  Mechanics of Solid Materials , 1990 .

[27]  K. Bathe Finite Element Procedures , 1995 .

[28]  Dallas N. Little,et al.  A continuum damage mechanics framework for modeling micro-damage healing , 2012 .

[29]  Hocine Boussa,et al.  A model for computation of leakage through damaged concrete structures , 2001 .

[30]  Wei Sun,et al.  Dynamic behaviour and visco-elastic damage model of ultra-high performance cementitious composite , 2009 .

[31]  J. Z. Zhu,et al.  The finite element method , 1977 .

[32]  Sun-Myung Kim,et al.  Meso-scale computational modeling of the plastic-damage response of cementitious composites , 2011 .

[33]  Shigemi Sato,et al.  Crack healing behaviour and high-temperature strength of mullite/SiC composite ceramics , 2002 .

[34]  Stefan Jacobsen,et al.  Effect of cracking and healing on chloride transport in OPC concrete , 1996 .

[35]  F. A. Leckie,et al.  Creep problems in structural members , 1969 .

[36]  Victor C. Li,et al.  Durability properties of micro-cracked ECC containing high volumes fly ash , 2009 .

[37]  J. A. Sanz-Herrera,et al.  Modelling bioactivity and degradation of bioactive glass based tissue engineering scaffolds , 2011 .

[38]  Michael D. Lepech,et al.  Autogenous healing of engineered cementitious composites under wet–dry cycles , 2009 .

[39]  H. Reinhardt,et al.  Permeability and self-healing of cracked concrete as a function of temperature and crack width , 2003 .

[40]  F. Slate,et al.  Autogenous Healing of Cement Paste , 1956 .

[41]  Adam Neville,et al.  Autogenous Healing—A Concrete Miracle? , 2002 .

[42]  K. E. Løland Continuous damage model for load-response estimation of concrete , 1980 .

[43]  En-Hua Yang,et al.  Autogenous healing of engineered cementitious composites at early age , 2011 .

[44]  Fabrizio Greco,et al.  Continuum Damage-healing Mechanics with Application to Self-healing Composites , 2005 .

[45]  Mark Kachanov,et al.  Continuum Model of Medium with Cracks , 1980 .