Heterogeneous Simulation on Concrete Shrinkage using Meso-model

메소모델을 사용한 비균질성을 고려한 콘크리트의 수축 해석

  • Received : 2019.08.01
  • Accepted : 2019.08.28
  • Published : 2019.09.01


Shrinkage is one of typical characteristics of concrete with cement paste and aggregates. A lot of studies on this has been conducted with an assumption that the concrete is a homogeneous material. However, as shrinkage acts on only one of the components that consist of concrete, it is hard to be characterized only by the average effective properties. Therefore, in this paper, the concrete shrinkage, which is one of the typical characteristics and still has a lot of uncertainty, is simulated considering its heterogeneous properties. Using a meso model, concrete is modeled with the combination of mortar and aggregates, and the shrinkage is simulated by applying the shrinkage strain on the mortar only. According to the results, it is shown that the cracking of shrinking concrete is largely influenced by the types of aggregates and the degree of restraint. Also, the shrinkage cracking cannot be represented only by the single values such as tensile strength since the stiffness of aggregates and the degree of restraint influence the cracking.


concrete shrinkage;meso model;heterogeneous material;degree of restraint


Supported by : 충남대학교


  1. KCI (2007), Design specifications for concrete structure.
  2. Agioutantis, Z, Chatzopoulou, E, Stavroulaki, M. (2000), A numerical investigation of the effect of the interfacial zone in concrete mixtures under uniaxial compression: the case of the dilute limit. Cement and Concrete Research, 30, 715-723.
  3. Bazant, Z.P., Planas, J. (1997), Fracture and Size Effect in Concrete and Other Quasibrittle Materials, CRC, 640.
  4. Elices, M., Rocco, C., Rosello, C. (2007), Cohesive crack modelling of a simple concrete: Experimental and numerical results, Engineering Fracture Mechanics, 76(10), 1398-1410.
  5. Garboczi, E.J., Cheok, G.S., Stone, W.C. (2006), Using LADAR to characterize the 3-D shape of aggregates: preliminary results. Cement and Concrete Research, 36, 1072-1075.
  6. Hafner S, Eckardt S, Luther T, Konke C. (2006), Mesoscale modelling of concrete: geometry and numerics. Computers & Structures, 84, 450-461.
  7. Hossain, A. B., and Weiss, W. J. (2004), Assessing Residual Stress Development and Stress Relaxation in Restrained Concrete Ring Specimens, Cement and Concrete Composites, 26(5), 531-540.
  8. Kwan, A.K.H., Wang, Z.M., Chan, H.C. (1999), Mesoscopic study of concrete II: nonlinear finite element analysis, Computers & Structures, 70(5), 545-556.
  9. Lee, K.M, Park, J.H. (2008), A numerical model for elastic modulus of concrete considering interfacial transition zone, Cement and Concrete Research, 38, 396-402.
  10. Mindess, S., Young, J.F., Darwin, D. (2002), Concrete, Prentice Hall, 644.
  11. Mohamed, A.R., Hansen, W. (1999), Micromechanical modeling of crack-aggregate interaction in concrete materials, Cement and Concrete Composites, 21(5-6), 349-359.
  12. Monteiro, P.J.M., Andrade, W.P. (1987), Analysis of the Rock-Cement Paste Bond Using Probabilistic Treatment of Brittle Strength, Cement and Concrete Research, 17, 919-926.
  13. Moon, J.H. (2006), Shrinkage, Residual Stress, and Cracking in Heterogeneous Materials, PhD Thesis, Purdue University, West Lafayette, Indiana, May 2006, 244.
  14. Moon, J.H., Rajabipour, F., Pease, B., Weiss, J. (2005), Autogenous Shrinkage, Residual Stress, and Cracking in Cementitious Composites: The Influence of Internal and External Restraint, Fourth International Seminar on Self-desiccation and Its Importance in Concrete Technology, Maryland, USA, 1-21
  15. Neville, A.M. (1996), Properties of Concrete, Wiley, New York, 844.
  16. Van Mier, J.G.M., Van Vliet, M.R.A. (2003), Influence of microstructure of concrete on size/scale effects in the tensile fracture. Engineering Fracture Mechanics, 70(16), 2281-2306.