Effect of plasticity on the experimental characterization of the creep property of a cement paste: Spherical vs. conical microindentation

Constantinides, 2006, Grid indentation analysis of composite microstructure and mechanics: principles and validation, Mater. Sci. Eng. A, 430, 189, 10.1016/j.msea.2006.05.125 Ulm, 2007, Statistical indentation techniques for hydrated nanocomposites: concrete, bone, and shale, J. Am. Ceram. Soc., 90, 2677, 10.1111/j.1551-2916.2007.02012.x Zhu, 2007, Nanoindentation mapping of mechanical properties of cement paste and natural rocks, Mater. Charact., 58, 1189, 10.1016/j.matchar.2007.05.018 Wilson, 2018, Automated coupling of nanoindentation and quantitative energy-dispersive spectroscopy (NI-QEDS): a comprehensive method to disclose the micro-chemo-mechanical properties of cement pastes, Cem. Concr. Res., 103, 49, 10.1016/j.cemconres.2017.08.016 Constantinides, 2004, The effect of two types of c-s-h on the elasticity of cement-based materials: results from nanoindentation and micromechanical modeling, Cem. Concr. Res., 34, 67, 10.1016/S0008-8846(03)00230-8 Nguyen, 2014, Microindentation creep of monophasic calcium–silicate–hydrates, Cem. Concr. Compos., 48, 118, 10.1016/j.cemconcomp.2013.11.011 Zhang, 2014, Long-term creep properties of cementitious materials: comparing microindentation testing with macroscopic uniaxial compressive testing, Cem. Concr. Res., 58, 89, 10.1016/j.cemconres.2014.01.004 Sneddon, 1965, The relation between load and penetration in the axisymmetric boussinesq problem for a punch of arbitrary profile, Int. J. Eng. Sci., 3, 47, 10.1016/0020-7225(65)90019-4 Vandamme, 2006, Viscoelastic solutions for conical indentation, Int. J. Solids Struct., 43, 3142, 10.1016/j.ijsolstr.2005.05.043 Vandamme, 2008 Minster, 2010, Time-dependent mechanical characteristics measured through the use of a microindentation technique, Mechanics of Time-Dependent Materials, 14, 243, 10.1007/s11043-009-9105-x Nguyen, 2013, Microindentation creep of secondary hydrated cement phases and C–S–H, Mater. Struct., 46, 1519, 10.1617/s11527-012-9993-0 Frech-Baronet, 2017, New evidences on the effect of the internal relative humidity on the creep and relaxation behaviour of a cement paste by micro-indentation techniques, Cem. Concr. Res., 91, 39, 10.1016/j.cemconres.2016.10.005 Balázs, 2013, Design for sls according to fib model code 2010, Struct. Concr., 14, 99, 10.1002/suco.201200060 Torrenti, 2018, Analysis of some basic creep tests on concrete and their implications for modeling, Struct. Concr., 19, 483, 10.1002/suco.201600197 Chen, 2010, A coupled nanoindentation/sem-eds study on low water/cement ratio Portland cement paste: evidence for C–S–H/Ca(OH)2 nanocomposites, J. Am. Ceram. Soc., 93, 1484, 10.1111/j.1551-2916.2009.03599.x Soraru, 2004, Mechanical durability of a polymer concrete: a vickers indentation study of the strength degradation process, Constr. Build. Mater., 18, 561, 10.1016/j.conbuildmat.2004.04.019 Vandamme, 2009, Nanogranular origin of concrete creep, Proc. Natl. Acad. Sci., 106, 10552, 10.1073/pnas.0901033106 Jones, 2011, Short-term creep of cement paste during nanoindentation, Cem. Concr. Compos., 33, 12, 10.1016/j.cemconcomp.2010.09.016 Mesarovic, 1999, Spherical indentation of elastic–plastic solids, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 455, 2707, 10.1098/rspa.1999.0423 Fischer-Cripps, 2000 Tweedie, 2006, Contact creep compliance of viscoelastic materials via nanoindentation, J. Mater. Res., 21, 1576, 10.1557/jmr.2006.0197 Vandamme, 2012, Quantifying plasticity-independent creep compliance and relaxation of viscoelastoplastic materials under contact loading, J. Mater. Res., 27, 302, 10.1557/jmr.2011.302 Pichler, 2008, A multiscale creep model as a basis for simulation of early age concrete behavior, Mater. Struct., 5, 295 Pharr, 2002, Understanding nanoindentation unloading curves, J. Mater. Res., 17, 2660, 10.1557/JMR.2002.0386 Johnson, 1987 Anand, 2006, On modeling the micro-indentation response of an amorphous polymer, Int. J. Plast., 22, 1123, 10.1016/j.ijplas.2005.07.006 Hartmann, 2006, Experiments and material parameter identification using finite elements. Uniaxial tests and validation using instrumented indentation tests, Exp. Mech., 46, 5, 10.1007/s11340-006-5857-2 Seltzer, 2008, Depth sensing indentation of linear viscoelastic–plastic solids: a simple method to determine creep compliance, Eng. Fract. Mech., 75, 4852, 10.1016/j.engfracmech.2008.06.012 Cheng, 2005, Spherical-tip indentation of viscoelastic material, Mech. Mater., 37, 213, 10.1016/j.mechmat.2004.03.002 Fischer-Cripps, 2007 Oyen, 2005, Spherical indentation creep following ramp loading, J. Mater. Res., 20, 2094, 10.1557/JMR.2005.0259 Mattice, 2006, Spherical indentation load-relaxation of soft biological tissues, J. Mater. Res., 21, 2003, 10.1557/jmr.2006.0243 Oyen, 2006, Analytical techniques for indentation of viscoelastic materials, Philos. Mag., 86, 5625, 10.1080/14786430600740666 Klug, 1970, The correlation between creep deformation and stress relaxation in concrete, Mater. Constr., 3, 75, 10.1007/BF02476260 Borodich, 1989, Hertz contact problems for an anisotropic physically nonlinear elastic medium, Strength of Materials, 21, 1668, 10.1007/BF01533408 Ting, 1966 Minster, 2011, Observation of viscoelastic displacement recovery after microindentation, Mechanics of Time-Dependent Materials, 15, 317, 10.1007/s11043-010-9129-2 Fischer-Cripps, 2004 Oliver, 1992, An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments, J. Mater. Res., 7, 1564, 10.1557/JMR.1992.1564 Shimizu, 1999, Pyramidal indentation load–depth curve of viscoelastic materials, J. Mater. Res., 14, 4075, 10.1557/JMR.1999.0550 Shahdad, 2007, Hardness measured with traditional vickers and martens hardness methods, Dent. Mater., 23, 1079, 10.1016/j.dental.2006.10.001 Mohs, 1812 Sakai, 1999, The meyer hardness: a measure for plasticity?, J. Mater. Res., 14, 3630, 10.1557/JMR.1999.0490 Oliver, 2004, Measurement of hardness and elastic modulus by instrumented indentation: advances in understanding and refinements to methodology, J. Mater. Res., 19, 3, 10.1557/jmr.2004.19.1.3 Chicot, 2010, Thin film hardness determination using indentation loading curve modelling, Thin Solid Films, 518, 5565, 10.1016/j.tsf.2010.05.063 Ullner, 2002, Instrumented indentation test for advanced technical ceramics, J. Eur. Ceram. Soc., 22, 1183, 10.1016/S0955-2219(01)00433-2 Fischer-Cripps, 2009 Christensen, 2012 Chen, 2017, Duality between creep and relaxation of a cement paste at different levels of relative humidity: characterization by microindentation and analytical modeling, Journal of Nanomechanics and Micromechanics, 7, 10.1061/(ASCE)NM.2153-5477.0000128 Bažant, 1997, Microprestress-solidification theory for concrete creep. I: aging and drying effects, J. Eng. Mech., 123, 1188, 10.1061/(ASCE)0733-9399(1997)123:11(1188) Torrenti, 2014, On the very long term delayed behaviour of concrete, 281 Bažant, 1984, Double-power logarithmic law for concrete creep, Cem. Concr. Res., 14, 793, 10.1016/0008-8846(84)90004-8 Bažant, 2011, Excessive creep deflections: an awakening, Concr. Int., 33, 44 Troxell, 1958, Long-time creep and shrinkage tests of plain and reinforced concrete, vol. 58, 1 Abate, 2006, A unified framework for numerically inverting Laplace transforms, INFORMS J. Comput., 18, 408, 10.1287/ijoc.1050.0137 Liang, 2020, New insights into creep and creep recovery of hardened cement paste at micro scale, Constr. Build. Mater., 248, 118724, 10.1016/j.conbuildmat.2020.118724