Prediction of Equivalent Elastic Modulus for Concrete Based on Homogenization Theory

CHEN Sihan; LYU Fangtao; HUANG Wei; WANG Lingling; KONG Dewen

[2] ROELFSTRA P E, SADOUKI H, WITTMANN F H. Le béton numérique［J］. Materials and Structures, 1985, 18(5): 327-335.

[4] CHRISTENSEN R M, LO K H. Solutions for effective shear properties in three phase sphere and cylinder models［J］. Journal of the Mechanics and Physics of Solids, 1979, 27(4): 315-330.

[5] NILSEN A U, MONTEIRO P J M. Concrete: a three phase material［J］. Cement and Concrete Research, 1993, 23(1): 147-151.

[6] NEUBAUER C M, JENNINGS H M, GARBOCZI E J. A three-phase model of the elastic and shrinkage properties of mortar［J］. Advanced Cement Based Materials, 1996, 4(1): 6-20.

[8] BENSOUSSAN A, LIONS J L, PAPANICOLAOU G. Asymtopic structures［M］. Amsterdam: North Holland, 1978.

[11] OUYANG X, SHI C J, WU Z M, et al. Experimental investigation and prediction of elastic modulus of ultra-high performance concrete (UHPC) based on its composition［J］. Cement and Concrete Research, 2020, 138: 106241.

[12] WALRAVEN J C, REINHARDT H W. Theory and experiments on the mechanical behaviour of cracks in plain and reinforced concrete subjected to shear loading[J]. Heron, 1991, 26(1A): 26-35.

[13] TANG X W, ZHANG C H, SHI J J. A multiphase mesostructure mechanics approach to the study of the fracture-damage behavior of concrete［J］. Science in China Series E: Technological Sciences, 2008, 51(2): 8-24.

[14] SUN X J, GAO Z, CAO P, et al. Mechanical properties tests and multiscale numerical simulations for basalt fiber reinforced concrete［J］. Construction and Building Materials, 2019, 202: 58-72.

[15] XU W X, MA H F, JI S Y, et al. Analytical effective elastic properties of particulate composites with soft interfaces around anisotropic particles［J］. Composites Science and Technology, 2016, 129: 10-18.

[16] ZOUAOUI R, MILED K, LIMAM O, et al. Analytical prediction of aggregates’ effects on the ITZ volume fraction and Young’s modulus of concrete［J］. International Journal for Numerical and Analytical Methods in Geomechanics, 2017, 41(7): 976-993.

[17] ZHANG N L, GUO X M, ZHU B B, et al. A mesoscale model based on Monte-Carlo method for concrete fracture behavior study［J］. Science China Technological Sciences, 2012, 55(12): 3278-3284.

[18] ZHENG J J, LI C Q, ZHOU X Z. An analytical method for prediction of the elastic modulus of concrete［J］. Magazine of Concrete Research, 2006, 58(10): 665-673.