Kanouté, P., Boso, D., Chaboche, J., Schrefler, B., Multiscale methods for composites: A review, Archives of Computational Methods in Engineering
, 16, 2009, 31–75.
 Eshelby, J.D., The determination of the elastic field of an ellipsoidal inclusion, and related problems, Proceedings of the Royal Society of London
, A241(1226), 1957, 376–396.
 Hill, R., The elastic behavior of a crystalline aggregate, Proceedings of the Royal Society of London
, A65, 1952, 349–354.
 Hashin, Z., and Shtrikman, S., A variational approach to the elastic behavior of multiphase minerals, Journal of the Mechanics and Physics of Solids
, 11(2), 1963, 127–140.
 Hershey, A., The elasticity of an isotropic aggregate of anisotropic cubic crystals, Journal of Applied Mechanics – Transactions of the ASME
, 21(3), 1954, 236–240.
 Zohdi, T. I., Oden, J., Rodin, G. J., Hierarchical modeling of heterogeneous bodies, Computer Methods in Applied Mechanics and Engineering
, 138(1-4), 1996, 273 – 298.
 Fish, J., Shek, K., Pandheeradi, M., Shephard, M. S., Computational plasticity for composite structures based on mathematical homogenization: Theory and practice, Computer Methods in Applied Mechanics and Engineering
, 148(1-2), 1997, 53–73.
 Feyel, F., Multiscale FE2 elasto-viscoplastic analysis of composite structures, Computational Materials Science
, 16(1-4), 1999, 344–354.
 Levy, A. and Papazian, J., Elastoplastic finite element analysis of short-fiber-reinforced SiC/Al composites: effects of thermal treatment, Acta Metallurgica Materialia
, 39(10), 1991, 2255 – 2266.
 Ghosh, S., Lee, K. and Moorthy, S., Two scale analysis of heterogeneous elastic-plastic materials with asymptotic homogenization and voronoi cell finite element model, Computer Methods in Applied Mechanics and Engineering
, 132(1-2), 1996, 63–116.
 Feyel, F. and Chaboche, J.-L., FE2 multiscale approach for modelling the elasto-viscoplastic behaviour of long fibre SiC/Ti composite materials, Computer Methods in Applied Mechanics and Engineering
, 183(3-4), 2000, 309–330.
 Sun, L. and Ju, J., Effective elastoplastic behavior of metal matrix composites containing randomly located aligned spheroidal inhomogeneities. Part II: Applications, International Journal of Solids and Structures
, 38(2), 2001, 203–225.
 Borges, D.C. and Pituba J.J.C., Analysis of quasi-brittle materials at mesoscopic level using homogenization model, Advances in Concrete Construction
, 5(3), 2017, 221-240.
 Constantinides, G. and Ulm, F.J., The effect of two types of C–S–H on the elasticity of cement-based materials: results from nanoindentation and micromechanical modeling, Cement and Concrete Research
, 34(1), 2004, 67–80.
 Sorelli, L., Constantinides, G., Ulm, F.J. and Toutlemonde, F., The nano-mechanical signature of ultra-high performance concrete by statistical nanoindentation techniques, Cement Concrete Research
, 38(12), 2008, 1447–1456.
 Němeček, J., Králík, V. and Vondrejc, J., Micromechanical analysis of heterogeneous structural materials, Cement and Concrete Composites
, 36, 2013, 85–92.
 Da Silva, W.R.L., Němeček, J. and Štemberk, P., Application of multiscale elastic homogenization based on nanoindentation for high performance concrete, Advances in Engineering Software
, 62–63, 2013, 109–118.
 Fakhari Tehrani, F., Absi, J., Allou, F. and Petit, Ch., Heterogeneous numerical modeling of asphalt concrete through use of a biphasic approach: Porous matrix/inclusions, Computational Materials Science
, 69, 2013, 186–196.
 Zhou, C., Li, K. and Ma, F., Numerical and statistical analysis of elastic modulus of concrete as a three-phase heterogeneous composite, Computers and Structures
, 139, 2014, 33–42.
 Caballero, A., Lopez, C.M. and Carol, I., 3D meso-structural analysis of concrete specimens, Computer Methods in Applied Mechanics and Engineering
, 195, 2006, 7182–7195.
 Shahbeyk, S., Hosseini, M. and Yaghoobi, M., Mesoscale finite element prediction of concrete failure, Computational Materials Science
, 50, 2011, 1973–1990.
Shim, S., Oliver, W.C. and Pharr, G.M., A critical examination of the Berkovich vs. conical indentation based on 3D finite element calculation, MRS Proceedings
, 841, 2004, R9.5.
 Sun, B. and Li, Z., Adaptive concurrent multi-scale FEM for trans-scale damage evolution in heterogeneous concrete, Computational Materials Science
, 99, 2015, 262–273.
 Tedesco, J.W., Hughes, M.L. and Ross, C.A., Numerical simulation of high strain rate concrete compression tests, Computers & Structures
, 51(1), 1994, 65–77.
 Tedesco, J.W., Powell, J.C., Ross, C.A. and Hughes, M.L., A strain-rate-dependent concrete material model for ADINA, Computers & Structures
, 64(5-6), 1997, 1053–1067.
 Beshara, F. and Virdi, K., Prediction of dynamic response of blast-loaded reinforced concrete structures, Computers & Structures
, 44(1-2), 1992, 297–313.
 Cela, J.J.L., Analysis of reinforced concrete structures subjected to dynamic loads with a viscoplastic Drucker–Prager model, Applied Mathematical Modelling
, 22(7), 1998, 495–515.
 Shirai, K., Ito, C. and Onuma, H., Numerical studies of impact on reinforced concrete beam of hard missile, Nuclear Engineering and Design
, 150, 1994, 483–489.
 Park, S.W., Xia, Q. and Zhou, M., Dynamic behavior of concrete at high strain rates and pressures: II. Numerical simulation, International Journal of Impact Engineering
, 25, 2001, 887–910.
 Buck, J. J., McDowell, D.L. and Zhou, M., Effect of microstructure on load-carrying and energy-dissipation capacities of UHPC, Cement and Concrete Research
, 43, 2013, 34-50.
 Häfner, S., Eckardt, S., Luther, T. and Könke, C., Mesoscale modeling of concrete: Geometry and numerics, Computers & Structures
, 84(7), 2006, 450–461.
 Dupray, F., Malecot, Y., Daudeville and L., Buzaud, E., A mesoscopic model for the behaviour of concrete under high confinement, International Journal for Numerical and Analytical Methods in Geomechanics
, 33(11), 2009, 1407–1423.
 Comby-Peyrot, I., Bernard, F., Bouchard, P., Bay, F. and Garcia-Diaz, E., Development and validation of a 3D computational tool to describe concrete behaviour at mesoscale. Application to the alkali-silica reaction, Computational Materials Science
, 46, 2009, 1163–1177.
 Aydin, A.C., Arslan, A. and Gül, R., Mesoscale simulation of cement based materials’ time-dependent behavior, Computational Materials Science
, 41, 2007, 20–26.
 Setiawan, Y., Gan, B.S. and Han, A.L., Modeling of the ITZ zone in concrete: Experiment and numerical simulation, Computers and Concrete
, 19(6), 2017, 647-655.
 Xu, W., Wu, F., Jiao, Y., Liu, M., A general micromechanical framework of effective moduli for the design of nonspherical nano- and micro-particle reinforced composites with interface properties, Materials & Design
, 127, 2017, 162–172.
 Xu, W., Jia, M., Zhu, Z., Liu, M., Lei, D., Gou, X., n-Phase micromechanical framework for the conductivity and elastic modulus of particulate composites: Design to microencapsulated phase change materials (MPCMs)-cementitious composites, Materials & Design
, 145, 2018, 108–115.
 Xu, W., Wu, Y., Gou, X., Effective elastic moduli of nonspherical particle-reinforced composites with inhomogeneous interphase considering graded evolutions of elastic modulus and porosity, Computer Methods in Applied Mechanics and Engineering
, 350, 2019, 535–553.
 Xu, W., Zhang, D., Lan, P., Jiao, Y., Multiple-inclusion model for the transport properties of porous composites considering coupled effects of pores and interphase around spheroidal particles, International Journal of Mechanical Sciences
, 150, 2019, 610–616.
 Xu, W., Xu, B., Guo, F., Elastic properties of particle-reinforced composites containing nonspherical particles of high packing density and interphase: DEM–FEM simulation and micromechanical theory, Computer Methods in Applied Mechanics and Engineering
, 326, 2017, 122–143.
 Xu, W., Sun, H., Chen, W., Chen, H., Transport properties of concrete-like granular materials interacted by their microstructures and particle components, International Journal of Modern Physics B
, 32(18), 2018, 1840011.
 Perzyna, P., Fundamental problems in viscoplasticity, Advances in Applied Mechanics
, 9, 1966, 243–377.
 Oliver, W.C and Pharr, G.M., An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments, Journal of Material Research
, 7(6), 1992, 1564–1583.
 Guessasma, S., Sehaki, M., Lourdin, D. and Bourmaud, A., Viscoelasticity properties of biopolymer composite materials determined using finite element calculation and nanoindentation, Computational Materials Science
, 44, 2008, 371–377.
 Chen, Z., Diebels, S., Peter, N.J. and Schneider, A.S., Identification of finite viscoelasticity and adhesion effects in nanoindentation of a soft polymer by inverse method, Computational Materials Science
, 72, 2013, 127–139.
 Benkabou, R., Abbès, B., Abbès, F., Asroun, A. and Li, Y. (), Contribution of 3D numerical simulation of instrumented indentation testing in the identification of elastic-viscoplastic behaviour law of a high-performance concrete, Matériaux & Techniques
, 105, 2017, 102.
 Abaqus Version 6.13, Dassault Systèmes Simulia Corp., Providence, RI, USA, 2013.
 Wang, X.F., Wang, X.W., Zhou, G.M. and Zhou, C.Z., Multi-scale analysis of 3D woven composite based on periodicity boundary conditions, Journal of Composite Materials
, 41(14), 2007, 1773-1788.
 Melro, A.R., Camanho, P.P., Andrade Pires, F.M. and Pinho, S.T., Micromechanical analysis of polymer composites reinforced by unidirectional fibres: Part II – Micromechanical analyses, International Journal of Solids and Structures
, 50(11-12), 2013, 1906–1915.
 Bocciarelli, M., Bolzon, G. and Maier, G., Parameter identification in anisotropic elastoplasticity by indentation and imprint mapping, Mechanics of Materials
, 37, 2005, 855–868.
 Nakamura, T. and Gu, Y., Identification of elastic-plastic anisotropic parameters using instrumented indentation and inverse analysis, Mechanics of Materials
, 39, 2007, 340–356.
 Deb, K., Pratap, A., Agarwal, S. and Meyarivan, T., A fast and elitist multiobjective genetic algorithm: NSGA-II, IEEE Transactions on Evolutionary Computation
, 6(2), 2002, 182–197.
 Trofimov, A., Abaimov, S. G., Akhatov, I., Sevostianov, I., On the bounds of applicability of two-step homogenization technique for porous materials, International Journal of Engineering Science
, 123, 2018, 117–126.
 Trofimov, A., Markov, A., Abaimov, S. G., Akhatov, I., Sevostianov, I., Overall elastic properties of a material containing inhomogeneities of concave shape, International Journal of Engineering Science
, 132, 2018, 30–44.
 Xu, W., Jia, M., Gong, Z., Thermal conductivity and tortuosity of porous composites considering percolation of porous network: From spherical to polyhedral pores, Composites Science and Technology
, 167, 2018, 134–140.
 Xu, W., Jiao, Y., Theoretical framework for percolation threshold, tortuosity and transport properties of porous materials containing 3D non-spherical pores, International Journal of Engineering Science
, 134, 2019, 31–46.