Browse > Article
http://dx.doi.org/10.12989/cac.2011.8.4.371

A constitutive model for fiber-reinforced extrudable fresh cementitious paste  

Zhou, Xiangming (School of Engineering and Design, Brunel University)
Li, Zongjin (Department of Civil and Environmental Engineering, The Hong Kong University of Science and Technology)
Publication Information
Computers and Concrete / v.8, no.4, 2011 , pp. 371-388 More about this Journal
Abstract
In this paper, time-continuous constitutive equations for strain rate-dependent materials are presented first, among which those for the overstress and the consistency viscoplastic models are considered. By allowing the stress states to be outside the yield surface, the overstress viscoplastic model directly defines the flow rule for viscoplastic strain rate. In comparison, a rate-dependent yield surface is defined in the consistency viscoplastic model, so that the standard Kuhn-Tucker loading/unloading condition still remains true for rate-dependent plasticity. Based on the formulation of the consistency viscoplasticity, a computational elasto-viscoplastic constitutive model is proposed for the short fiber-reinforced fresh cementitious paste for extrusion purpose. The proposed constitutive model adopts the von-Mises yield criterion, the associated flow rule and nonlinear strain rate-hardening law. It is found that the predicted flow stresses of the extrudable fresh cementitious paste agree well with experimental results. The rate-form constitutive equations are then integrated into an incremental formulation, which is implemented into a numerical framework based on ANSYS/LS-DYNA finite element code. Then, a series of upsetting and ram extrusion processes are simulated. It is found that the predicted forming load-time data are in good agreement with experimental results, suggesting that the proposed constitutive model could describe the elasto-viscoplastic behavior of the short fiber-reinforced extrudable fresh cementitious paste.
Keywords
viscoplastic; cement paste; extrusion; rheology; flow stress; constitutive modeling;
Citations & Related Records

Times Cited By SCOPUS : 0
연도 인용수 순위
  • Reference
1 Adams, M.J., Briscoe, B.J. and Kamjab, M. (1993), "The deformation and flow of highly concentrated dispersions", Adv. Colloid Interfac., 44, 143-182.   DOI
2 Al-Haik, M., Vaghar, M.R., Garmestani, H. and Shahaway, M. (2001), "Viscoplastic analysis of structural polymer composites using stress relaxation and creep data", Compos. Part B, 32(2), 165-170.   DOI   ScienceOn
3 Aldea, C., Marikunte, S. and Shah, S.P. (1998), "Extruded fiber reinforced cement pressure pipes", Adv. Cement Based Mater., 8(2), 47-55.   DOI   ScienceOn
4 Alfani, R., Grizzuti, N., Guerrini, G.L. and Lezzi, G. (2007), "The use of the capillary rheometer for the rheological evaluation of extrudable cement-based materials", Rheologica Acta, 46(5), 703-709.   DOI   ScienceOn
5 Aydin, I., Biglari, F.R., Briscoe, B.J., Lawrence, C.J. and Adams, M.J. (2000), "Physical and numerical modelling of ram extrusion of paste materials: conical die entry case", Comput. Mater. Sci., 18(2), 141-155.   DOI   ScienceOn
6 Belytschko, T., Liu, W.K. and Moran, B. (2000), Nonlinear finite elements for continua and structures, John Wiley & Sons, New York.
7 Chaboche, J.L. (1989), "Constitutive equations for cyclic plasticity and cyclic viscoplasticity", Int. J. Plasticity, 5(3), 247-302.   DOI   ScienceOn
8 Kobayashi, S., Oh, S. and Altan, T. (1989), Metal forming and the finite-element method, Oxford University Press.
9 Kuder, K.G. and Shah, S.P. (2007a), "Tailoring extruded HPFRCC to be nailable", ACI Mater. J., 104(5), 526- 534.
10 Kuder, K.G. and Shah, S.P. (2007b), "Rheology of extruded cement-based materials", ACI Mater. J., 104(3), 283- 290.
11 Li, Zongjin and Li, Xiangyu (2007), "Squeeze flow of viscoplastic cement-based extrudate", J. Eng. Mech. - ASCE, 133(9), 1003-1008.   DOI   ScienceOn
12 Li, Z.J., Mu, B. and Chui, S.N.C. (1999), "Systematic study of properties of extrudates with incorporated metakaolin or silica fume", ACI Mater. J., 96(5), 574-579.
13 Li, Z.J., Mu, B. and Chui, S.N.C. (2001), "Static and dynamic behavior of extruded sheets with short fibers", J. Mater. Civil Eng. - ASCE, 13(4), 248-254.   DOI   ScienceOn
14 Li, Zongjin, Zhou, Xiangming and Shen, Bin (2004), "Fiber-cement extrudates with perlite subjected to high temperatures", J. Mater. Civil Eng. - ASCE, 16(3), 221-229.   DOI   ScienceOn
15 Lof, J. (2001), "Elasto-viscoplastic FEM simulations of the aluminium flow in the bearing area for extrusion of thin-walled sections", J. Mater. Process. Tech., 114(2), 174-183.   DOI   ScienceOn
16 Lof, J. and Boogaard, A.H.Van Den (2001), "Adaptive return mapping algorithms for $J_{2}$ elasto-viscoplastic flow", Int. J. Numer. Meth. Eng., 51(11), 1283-1298.   DOI   ScienceOn
17 Ortiz, M. and Popov, E.P. (1985), "Accuracy and stability of integration algorithms for elasto-plastic constitutive relations", Int. J. Numer. Meth. Eng., 21(9), 1561-1576.   DOI   ScienceOn
18 Peled, A. and Shah, S.P. (2003), "Processing effects in cementitious composites: extrusion and casting", J. Mater. Civil Eng. - ASCE, 15(2), 192-199.   DOI   ScienceOn
19 Perzyna, P. (1966), Fundamental problems in viscoplasticity, In Kuerti, G. (Eds.), Recent Advances in Applied Mechanics, Academic Press, New York, 9, 243-377.
20 Ponthot, J.P. (2002), "Unified stress update algorithms for the numerical simulation of large deformation elastoplastic and elasto-viscoplastic processes", Int. J. Plasticity, 18(1), 91-126.   DOI   ScienceOn
21 Qian, X.Q., Zhou, X.M., Mu, B. and Li, Z.J. (2003), "Fiber alignment and property direction dependency of FRC extrudate", Cement Concrete Res., 33(10), 1575-1581.   DOI   ScienceOn
22 Santhanam, S. (2000), "An elastic-viscoplastic constitutive model for hot-forming of aluminum alloys", J. Mater. Sci., 35(14), 3647-3654.   DOI   ScienceOn
23 Shao, Y., Marikunte, S. and Shah, S.P. (1995), "Extruded fiber-reinforced composites", Concrete Int., 17(4), 48-52.
24 Srinivasan, R., DeFord, D. and Shah, S.P. (1999), "The use of extrusion rheometry in the development of extruded fiber-reinforced cement composites", Concrete Sci. Eng., 1(1), 26-36.
25 Shao, Y. and Shah, S.P. (1997), "Mechanical properties of PVA fiber reinforced cement composites fabricated by extrusion processing", ACI Mater. J., 94(6), 555-564.
26 Shen, B., Hubler, M., Paulino, G.H. and Struble, L.J. (2008), "Functionally-graded fiber-reinforced cement composite: processing, microstructure, and properties", Cement Concrete Compos., 30(8), 663-673.   DOI   ScienceOn
27 Simo, J.C. and Hughes, T.J.R. (1998), Computational inelasticity, Springer-Verlag.
28 Toutou, Z., Roussel, N. and Lanos, C. (2005), "The squeeze test: a tool to identify firm cement-based material's rheological behaviour and evaluate their extrusion ability", Cement Concrete Res., 35(10), 1891-1899.   DOI   ScienceOn
29 Wang, W.M., Sluys L.J. and De Borst, R. (1997), "Viscoplasticity for instabilities due to strain softening and strain-rate softening", Int. J. Numer. Meth. Eng., 40(20), 3839-3864.   DOI   ScienceOn
30 Zhou, X. and Li, Z. (2005a), "Characterization of rheology of fresh fiber reinforced cementitious composites through ram extrusion", Mater. Struct., 38(1), 17-24.   DOI   ScienceOn
31 Zhou, Xiangming and Li, Zongjin (2005b), "Characterizing rheology of fresh short fiber reinforced cementitious composite through capillary extrusion", J. Mater. Civil Eng. - ASCE, 17(1), 28-35.   DOI   ScienceOn
32 Zhou, Xiangming and Li, Zongjin (2006), "Upsetting tests of fresh cementitious composites for extrusion", J. Eng. Mech. - ASCE, 132(2), 149-157.   DOI   ScienceOn