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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Li, V.C.: Integrated structures and materials design. Mater. Struct. 40(4), 387–396 (2007)
Kabele, P.: Some issues in modeling and characterization of SHCC materials and structures. In: FRC Workshop, Stanford University, 17–18 Nov 2014 (2014)
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)
Rokugo, K., Kanda, T.: Strain Hardening Cement Composites: Structural Design and Performance, vol. 6. RILEM, Springer (2013)
Maalej, M., Li, V.C.: Flexural/tensile strength ratio in engineered cementitious composites. J. Mater. Civ. Eng. 6(4), 513–528 (1994)
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)
Kabele, P., Horii, H.: Analytical model for fracture behavior of pseudo strain- hardening cementitious composites. Concr. Libr. JSCE. 29, 105–120 (1997)
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)
Li, V.C., Hashida, T.: Engineering ductile fracture in brittle-matrix composites. J. Mater. Sci. Lett. 12(12), 898–901 (1993)
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)
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)
Vorel, J., Boshoff, W.P.: Numerical simulation of ductile fiber-reinforced cement-based composite. J. Comput. Appl. Math. 270, 433–442 (2014)
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)
Ranade, R.: Advanced Cementitious Composite Development for Resilient and Sustainable Infrastructure. PhD Thesis, University of Michigan, Ann Arbor, MI (2014)
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)
Lee, S.C.: Finite Element Modeling of Hybrid-Fiber ECC Targets Subjected to Impact and Blast. National University of Singapore, Singapore (2006)
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)
Kabele, P.: New developments in analytical modeling of mechanical behavior of ECC. J. Adv. Concr. Technol. 1(3), 253–264 (2003)
Kabele, P.: Multiscale framework for modeling of fracture in high performance fiber reinforced cementitious composites. Eng. Fract. Mech. 74(1–2), 194–209 (2007)
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)
Kang, J., Bolander, J.E.: Multiscale modeling of strain-hardening cementitious composites. Mech. Res. Commun. 78, 47–54 (2016)
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)
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)
YANG, E., Li, V.C.: Numerical study on steady-state cracking of composites. Compos. Sci. Technol. 67(2), 151–156 (2007)
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)
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)
Kabele, P.: Equivalent continuum model of multiple cracking. Eng. Mech. 9(1/2), 75–90 (2002)
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)
Kanda, T.: Design of Engineered Cementitious Composites for Ductile Seismic Resistant. University of Michigan, Ann Arbor (1998)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer-Verlag GmbH Germany, part of Springer Nature
About this chapter
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
DOI: https://doi.org/10.1007/978-3-662-58438-5_5
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-58437-8
Online ISBN: 978-3-662-58438-5
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)