Abstract
In the present study, the average modulus of delayed ettringite is evaluated by an experimental method combined with theoretical analysis. Firstly, the delayed ettringite crystal is synthesized by chemical reaction of Aluminum sulfate and calcium hydroxide. Secondly, specimens are obtained by compressing the delayed ettringite crystal under different pre-loads. Thirdly, the variation of the modulus of the specimen with different pre-loads is tested using Instron material test machine and the SHPB technique, respectively. It is found that the experimental data may be suitably fitted by Boltzmann Function. Finally, the porosity of the specimen is detected using the saturation method, and the effect of the porosity on the modulus is analyzed by the Eshelby’s equivalent inclusion method and the Mori-Tanaka’s scheme. The static and dynamic modulli of the equivalent homogeneous ettringite obtained in present study are approximately 10.64 GPa and 24.61 GPa, respectively.
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Li, L.Y. and Page, C.L., Modelling of electrochemical chloride extraction from concrete: influence of ionic activity coefficients. Computational Materials Science, 1998, 9: 303–308.
Li, L.Y. and Page, C.L., Finite element modelling of chloride removal from concrete by an electrochemical method. Corrosion Science, 2000, 42: 2145–2165.
Wang, Y., Li, L.Y. and Page, C.L., A two-dimensional model of electrochemical chloride removal from concrete. Computational Materials Science, 2001, 20: 196–212.
Wang, Y., Li, L.Y. and Page, C.L., Modelling of chloride ingress into concrete from a saline environment. Building and Environment, 2005, 40: 1573–1582.
Taylor, H.F.W., Famy, C. and Scrivener, K.L., Delayed ettringite formation. Cement and Concrete Research, 2001, 31: 683–693.
Chen, J.K. Jiang, M.Q. and Zhu, J., Damage evolution in cement mortar due to erosion of sulphate. Corrosion Science, 2008, 50: 2478–2483.
Zhu, J., Jiang, M.Q. and Chen, J.K., Equivalent model of expansion of cement mortar under sulphate erosion. Acta Mechanica Solida Sinica, 2008, 20(5), 327–332.
Hartman, M.R., Brady, S.K., Berliner, R. and Conradi, M.S., The evolution of structural changes in ettringite during thermal decomposition. Solid State Chemistry, 2006, 179: 1259–1272.
Ghorab, H.Y. and Heinz, D., On the stability if calcium aluminute sulphate hydrates in pure systems and in cements. Proc. Int. Congr. Chem. Cem., 7th, Paris 1980, Vol.4, Editions Septima, pp.496–503.
Diamond, S., Delayed Ettringite Formation Process and Problems. Cement and Concrete Composite, 1996, 18:205–215.
Rajasekaran, G., Sulphate attack and ettringite formation in the lime and cement stabilized marine clays. Ocean Engineering, 2005, 32:1133–1159.
Alexandre, P., Loïc, D. and Stéphane, F.A., Concrete performance test for delayed ettringite formation: Part I. Optimization. Cement and Concrete Research, 2006, 36: 2128–2143.
Alexandre, P., Loïc, D. and Stéphane, F.A., Concrete performance test for delayed ettringite formation: Part II. Validation. Cement and Concrete Research, 2006, 36: 2144–2151.
Pajares, I., Martínez-Ramirez, S. and Blanco-Varela, M.T., Evolution of ettringite in presence of carbonate, and silicate ions. Cement and Concrete Composites, 2003, 25: 861–865.
Pourchez, J., Valdivieso, F., Grosseau, P., Guyonnet, R. and Guilhot, B., Kinetic modelling of the thermal decomposition of ettringite into metaettringite. Cement and Concrete Research, 2006, 36: 2054–2060.
Etsuo, S., Yasuyuki, N., Takumi, I. and Masaki, D., Ettringite formation and microstructure of rapid hardening cement. Cement and Concrete Research, 2004, 34: 1669–1673.
Cody, A.M., Lee, H., Cody, R.D. and Spry, P.G., The effects of chemical environment on the nucleation, growth, and stability of ettringite. Cement and Concrete Research, 2004, 34: 869–881.
Brown, P. and Hooton, R.D., Ettringite and thaumasite formation in laboratory concretes prepared using sulfate-resisting cements. Cement and Concrete Composites, 2002, 24: 361–370.
Álvarez-Ayuso, E. and Nugteren, H.W., Synthesis of ettringite: a way to deal with the acid wastewaters of aluminum anodizing industry. Water Research, 2005, 39: 65–72.
Marc Andre Meyers, Dynamic Behavior of Mateirals. A Wiley-Interscience Publication, 1994.
Eshelby, J.D., The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proceedings of the Royal Society London, 1957, A241: 376–396.
Mori, T and Tanaka, K. Average stress of matrix and average elastic energy of materials with mismatching inclusions. Acta Metallurgica, 1973, 21(6): 571–574.
Chen, J.K., Zhu, J., Wang, J., Yuan, M. and Chu, H.J., The properties of the Poisson’s ratio of microcellular foams with low porosity: non-stationary, negative value, and singularity. Mechanics of Time-Dependent Materials, 2006, 10: 315–330.
Huang, Z.P, and Sun, L., Size-dependent effective properties of a heterogeneous material with interface energy effect: from finite deformation theory to infinitesimal strain analysis. Acta Mechanica, 2007, 190: 151–163.
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Project supported by the National Basic Research Program of China (973 Program, 2009CB623203), the National Nature Science Foundation of China (Nos.10572064 and 10802039), Natural Science Foundation of Zhejiang Province (No.Y107780) and K.C. Wong Magna Fund in Ningbo University.
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Zhang, M., Chen, J., Zhu, J. et al. Experimental Evaluation on Modulus of Equivalent Homogeneous Ettringite. Acta Mech. Solida Sin. 22, 320–327 (2009). https://doi.org/10.1016/S0894-9166(09)60280-9
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DOI: https://doi.org/10.1016/S0894-9166(09)60280-9