Skip to main content

Constitutive Modeling of Engineered Cementitious Composites (ECC)

  • Chapter
  • First Online:
Engineered Cementitious Composites (ECC)

Abstract

As research in ECC advances from material development to structural applications, the need for accurate constitutive models that capture ECC’s response under load becomes increasingly apparent. When combined with finite element method, constitutive models of ECC can be utilized to simulate structural response. Such simulations are useful to develop a better understanding of how the unique properties of ECC, such as tensile ductility and crack width control, can be translated into advantageous structural performances. Ultimately, high fidelity numerical simulation of ECC structural behavior can lead to a reduction in the amount of experimentation needed to gain confidence in full-scale structural deployment of ECC. Further, constitutive models can be helpful in the deployment of integrated structural and materials design approach, where targeted structural performance can be downlinked to composite properties and material composition and microstructures. Such scale-linkage provides an efficient basis for ECC material design for optimal structural performance.

While major advances have been made over the last decade on constitutive modeling of ECC, the goals identified above have yet to be realized. However, as this chapter demonstrates, a variety of constitutive models have successfully captured essential experimental trends. Specifically, this chapter presents two classes of constitutive models: phenomenological models and multiscale physics-based models. The phenomenological models account for 1D, 2D, and 3D stress states as well as monotonic, cyclic, and dynamic loading. These models have been verified with experimental data with various levels of successes. The multiscale model links microscale phenomena and material features to mesoscale and macroscale material and structural responses. The advantages of explicitly modeling the opening and sliding of multiple cracks of ECC are demonstrated. The models described lay the ground work for further much needed development in this field.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Li, V.C.: Integrated structures and materials design. Mater. Struct. 40(4), 387–396 (2007)

    Article  Google Scholar 

  2. Kabele, P.: Some issues in modeling and characterization of SHCC materials and structures. In: FRC Workshop, Stanford University, 17–18 Nov 2014 (2014)

    Google Scholar 

  3. Kabele, P.: Finite element fracture analysis of reinforced SHCC members. In: Advances in Cement-Based Materials, Proc. of the International Conference on Advanced Conrete Materials, Stellenbosch, South Africa, pp. 237–244 (2009)

    Google Scholar 

  4. Rokugo, K., Kanda, T.: Strain Hardening Cement Composites: Structural Design and Performance, vol. 6. RILEM, Springer (2013)

    Google Scholar 

  5. Maalej, M., Li, V.C.: Flexural/tensile strength ratio in engineered cementitious composites. J. Mater. Civ. Eng. 6(4), 513–528 (1994)

    Article  CAS  Google Scholar 

  6. Szerszen, M.M., Szwed, A., Li, V.C.: Flexural response of reinforced beam with high ductility concrete material. In: BMC-8, Woodland Publishing, Warsaw, Poland, pp. 263–274 (2006)

    Google Scholar 

  7. Kabele, P., Horii, H.: Analytical model for fracture behavior of pseudo strain- hardening cementitious composites. Concr. Libr. JSCE. 29, 105–120 (1997)

    Google Scholar 

  8. Maalej, M., Hashida, T., Li, V.C.: Effect of fiber volume fraction on the off-crack-plane fracture energy in strain-hardening engineered cementitious composites. Am. Ceram. Soc. 78(12), 3369–3375 (1995)

    Article  CAS  Google Scholar 

  9. Li, V.C., Hashida, T.: Engineering ductile fracture in brittle-matrix composites. J. Mater. Sci. Lett. 12(12), 898–901 (1993)

    Article  CAS  Google Scholar 

  10. Kesner, K.E., Douglas, K.S., Billington, S.L.: Cyclic response of highly ductile fiber-reinforced cement-based composites. ACI Mater. J. 100(5), 381–390 (2003)

    CAS  Google Scholar 

  11. Han, T.S., Feenstra, P.H., Billington, S.L.: Simulation of highly ductile fiber-reinforced cement-based composite components under cyclic loading. ACI Struct. J. 100(6), 749–757 (2003)

    Google Scholar 

  12. Vorel, J., Boshoff, W.P.: Numerical simulation of ductile fiber-reinforced cement-based composite. J. Comput. Appl. Math. 270, 433–442 (2014)

    Article  Google Scholar 

  13. Feenstra, P.H., Rots, J.G., Arnesen, A., Teigen, J.G., Hoiseth, K.V.: A 3D constitutive model for concrete based on a co-rotational concept. In: Computational Modelling of Concrete Structures, Proceedings of EURO-C 1998, Brookfield, Rotterdam, pp. 13–22 (1998)

    Google Scholar 

  14. Ranade, R.: Advanced Cementitious Composite Development for Resilient and Sustainable Infrastructure. PhD Thesis, University of Michigan, Ann Arbor, MI (2014)

    Google Scholar 

  15. Ranade, R., Li, V.C.: Material model for simulating strain-hardening cementitious composites in LS-DYNA. In: SHCC3, Dordrecht, The Netherlands, pp. 235–242 (2014)

    Google Scholar 

  16. Lee, S.C.: Finite Element Modeling of Hybrid-Fiber ECC Targets Subjected to Impact and Blast. National University of Singapore, Singapore (2006)

    Google Scholar 

  17. Malvar, L.J., Crawford, J.E., Wesevich, J.W., Simons, D.: A plasticity concrete material model for DYNA3D. Int. J. Impact Eng. 19(9–10), 847–873 (1997)

    Article  Google Scholar 

  18. Kabele, P.: New developments in analytical modeling of mechanical behavior of ECC. J. Adv. Concr. Technol. 1(3), 253–264 (2003)

    Article  Google Scholar 

  19. Kabele, P.: Multiscale framework for modeling of fracture in high performance fiber reinforced cementitious composites. Eng. Fract. Mech. 74(1–2), 194–209 (2007)

    Article  Google Scholar 

  20. Suryanto, B., Nagai, K., Maekawa, K.: Modeling and analysis of shear-critical ECC members with anisotropic stress and strain fields. J. Adv. Concr. Technol. 8(2), 239–258 (2010)

    Article  Google Scholar 

  21. Kang, J., Bolander, J.E.: Multiscale modeling of strain-hardening cementitious composites. Mech. Res. Commun. 78, 47–54 (2016)

    Article  Google Scholar 

  22. Luković, M., Dong, H., Šavija, B., Schlangen, E., Ye, G., Van Breugel, K.: Tailoring strain-hardening cementitious composite repair systems through numerical experimentation. Cem. Concr. Compos. 53, 200–213 (2014)

    Article  Google Scholar 

  23. Li, V.C., Wu, H.: Conditions for pseudo strain-hardening in fiber reinforced brittle matrix composites. Appl. Mech. Rev. 45(8), V. C. Li, Ed. ASME, 390–398 (1992)

    Google Scholar 

  24. YANG, E., Li, V.C.: Numerical study on steady-state cracking of composites. Compos. Sci. Technol. 67(2), 151–156 (2007)

    Article  Google Scholar 

  25. Kabele, P., Stemberk, M.: Stochastic model of multiple cracking process in FRCC. In: Proceedings of ICF11, Paper 4825 on CD-ROM, Torino, Italy, pp. 3–8 (2005)

    Google Scholar 

  26. Wu, C., Leung, C.K.Y., Li, V.C.: Derivation of crack bridging stresses in engineered cementitious composites under combined opening and shear displacements. Cem. Concr. Res. 107, 253–263 (2018)

    Article  CAS  Google Scholar 

  27. Kabele, P.: Equivalent continuum model of multiple cracking. Eng. Mech. 9(1/2), 75–90 (2002)

    Google Scholar 

  28. Kabele, P.: Fracture behavior of shear-critical reinforced HPFRCC members. In: International RILEM Workshop on High Performance Fiber Reinforced Cementitious Composites in Structural Applications. In: Fischer, G., Li, V.C.,(eds.), RILEM Publisher, Bagneux, pp. 383–392 (2006)

    Google Scholar 

  29. Kanda, T.: Design of Engineered Cementitious Composites for Ductile Seismic Resistant. University of Michigan, Ann Arbor (1998)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer-Verlag GmbH Germany, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Li, V.C. (2019). Constitutive Modeling of Engineered Cementitious Composites (ECC). In: Engineered Cementitious Composites (ECC). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-58438-5_5

Download citation

Publish with us

Policies and ethics