| [1] |
Bui, V.-T.; Kim, S.-E., Nonlinear inelastic analysis of semi-rigid steel frames with circular concrete-filled steel tubular columns, Int. J. Mech. Sci., 196, 106273 (2021) |
| [2] |
Yademellat, H.; Nikbakht, A.; Saghafi, H.; Sadighi, M., Experimental and numerical investigation of low velocity impact on electrospun nanofiber modified composite laminates, Compos. Struct., 200, 507-514 (2018) |
| [3] |
Yu, P.; Duan, Y. H.; Chen, E.; Tang, S. W.; Wang, X. R., Microstructure-based fractal models for heat and mass transport properties of cement paste, Int. J. Heat Mass Transf., 126, 432-447 (2018) |
| [4] |
Tian, W.; Qi, L.; Su, C.; Zhou, J., Mean-field homogenization based approach to evaluate macroscopic coefficients of thermal expansion of composite materials, Int. J. Heat Mass Transf., 102, 1321-1333 (2016) |
| [5] |
Kim, Y.; Jung, J.; Lee, S.; Doghri, I.; Ryu, S., Adaptive affine homogenization method for visco-hyperelastic composites with imperfect interface, Appl. Math. Model., 107, 72-84 (2022) · Zbl 1503.74094 |
| [6] |
Kaleel, I.; Petrolo, M.; Carrera, E.; Waas, A. M., Computationally efficient concurrent multiscale framework for the nonlinear analysis of composite structures, AIAA J., 57, 9, 4029-4041 (2019) |
| [7] |
Guo, W.; Han, F.; Jiang, J.; Xu, W., A micromechanical framework for thermo-elastic properties of multiphase cementitious composites with different saturation, Int. J. Mech. Sci., 224, 107313 (2022) |
| [8] |
Katouzian, M.; Vlase, S.; Marin, M.; Scutaru, M. L., Modeling study of the creep behavior of carbon-fiber-reinforced composites: a review, Polymers (Basel), 15, 1, 194 (2023) |
| [9] |
Eshelby, J. D., The determination of the elastic field of an ellipsoidal inclusion, and related problems, Proc. R. Soc. Lond. Ser. A. Math. Phys. Sci., 241, 1226, 376-396 (1957) · Zbl 0079.39606 |
| [10] |
Mori, T.; Tanaka, K., Average stress in matrix and average elastic energy of materials with misfitting inclusions, Acta Metall., 21, 5, 571-574 (1973) |
| [11] |
Doghri, I.; Ouaar, A., Homogenization of two-phase elasto-plastic composite materials and structures: study of tangent operators, cyclic plasticity and numerical algorithms, Int. J. Solids Struct., 40, 1681-1712 (2003) · Zbl 1032.74624 |
| [12] |
Pierard, O.; Friebel, C.; Doghri, I., Mean-field homogenization of multi-phase thermo-elastic composites: a general framework and its validation, Compos. Sci. Technol., 64, 1587-1603 (2004) |
| [13] |
Hori, M.; Nemat-Nasser, S., Double-inclusion model and overall moduli of multi-phase composites, Mech. Mater., 14, 3, 189-206 (1993) |
| [14] |
Hill, R., Elastic properties of reinforced solids: some theoretical principles, J. Mech. Phys. Solids, 11, 5, 357-372 (1963) · Zbl 0114.15804 |
| [15] |
Mandel, J., Contribution théorique à l’étude de l’écrouissage et des lois de l’écoulement plastique, Applied Mechanics, 502-509 (1966), Springer |
| [16] |
Gray, W. G.; Schrefler, B. A.; Pesavento, F., The solid phase stress tensor in porous media mechanics and the hill-Mandel condition, J. Mech. Phys. Solids, 57, 3, 539-554 (2009) · Zbl 1170.74324 |
| [17] |
Dosta, M.; Bistreck, K.; Skorych, V.; Schneider, G. A., Mesh-free micromechanical modeling of inverse opal structures, Int. J. Mech. Sci., 204, 106577 (2021) |
| [18] |
Jacques, S.; De Baere, I.; Paepegem, W. V., Application of periodic boundary conditions on multiple part finite element meshes for the meso-scale homogenization of textile fabric composites, Compos. Sci. Technol., 92, 41-54 (2014) |
| [19] |
Willot, F.c.; Jeulin, D., Elastic behavior of composites containing boolean random sets of inhomogeneities, Int. J. Eng. Sci., 47, 2, 313-324 (2009) · Zbl 1213.74250 |
| [20] |
Wang, R.; Zhang, L.; Hu, D.; Liu, C.; Shen, X.; Cho, C.; Li, B., A novel approach to impose periodic boundary condition on braided composite RVE model based on RPIM, Compos. Struct., 163, 77-88 (2017) |
| [21] |
Hori, M.; Nemat-Nasser, S., On two micromechanics theories for determining micro-macro relations in heterogeneous solids, Mech. Mater., 31, 10, 667-682 (1999) |
| [22] |
Hazanov, S.; Huet, C., Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume, J. Mech. Phys. Solids, 42, 12, 1995-2011 (1994) · Zbl 0821.73005 |
| [23] |
Xia, Z.; Zhang, Y.; Ellyin, F., A unified periodical boundary conditions for representative volume elements of composites and applications, Int. J. Solids Struct., 40, 1907-1921 (2003) · Zbl 1048.74011 |
| [24] |
Garoz, D.; Gilabert, F. A.; Sevenois, R. D.B.; Spronk, S. W.F.; Paepegem, W. V., Consistent application of periodic boundary conditions in implicit and explicit finite element simulations of damage in composites, Compos. Part B: Eng., 168, 254-266 (2019) |
| [25] |
Tian, W.; Qi, L.; Chao, X.; Liang, J.; Fu, M., Periodic boundary condition and its numerical implementation algorithm for the evaluation of effective mechanical properties of the composites with complicated micro-structures, Compos. Part B: Eng., 162, 1-10 (2019) |
| [26] |
Tian, W.; Chao, X.; Fu, M. W.; Qi, L.; Ju, L., New numerical algorithm for the periodic boundary condition for predicting the coefficients of thermal expansion of composites, Mech. Mater., 154, 103737 (2021) |
| [27] |
Brito-Santana, H.; Thiesen, J. L.M.; de Medeiros, R.; Ferreira, A. J.M.; Rodríguez-Ramos, R.; Tita, V., Multiscale analysis for predicting the constitutive tensor effective coefficients of layered composites with micro and macro failures, Appl. Math. Model., 75, 250-266 (2019) · Zbl 1481.74644 |
| [28] |
Qi, L.; Chao, X.; Tian, W.; Ma, W.; Li, H., Numerical study of the effects of irregular pores on transverse mechanical properties of unidirectional composites, Compos. Sci. Technol., 159, 142-151 (2018) |
| [29] |
Khdir, Y. K.; Kanit, T.; Zaïri, F.; Naït-Abdelaziz, M., Computational homogenization of elastic-plastic composites, Int. J. Solids Struct., 50, 18, 2829-2835 (2013) |
| [30] |
Halpin, J. C., Stiffness and expansion estimates for oriented short fiber composites, J. Compos. Mater., 3, 4, 732-734 (1969) |
| [31] |
Halpin Affdl, J. C.; Kardos, J. L., The halpin-Tsai equations: a review, Polymer Eng. Sci., 16, 5, 344-352 (1976) |
| [32] |
Terada, K.; Hori, M.; Kyoya, T.; Kikuchi, N., Simulation of the multi-scale convergence in computational homogenization approaches, Int. J. Solids Struct., 37, 16, 2285-2311 (2000) · Zbl 0991.74056 |
| [33] |
Drugan, W. J.; Willis, J. R., A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites, J. Mech. Phys. Solids, 44, 497-524 (1996) · Zbl 1054.74704 |
| [34] |
Gusev, A. A., Representative volume element size for elastic composites: a numerical study, J. Mech. Phys. Solids, 45, 9, 1449-1459 (1997) · Zbl 0977.74512 |
| [35] |
Gusev, A. A.; Hine, P. J.; Ward, I. M., Fiber packing and elastic properties of a transversely random unidirectional glass/epoxy composite, Compos. Sci. Technol., 60, 4, 535-541 (2000) |
| [36] |
Duschlbauer, D.; Böhm, H. J.; Pettermann, H. E., Computational simulation of composites reinforced by planar random fibers: homogenization and localization by unit cell and mean field approaches, J. Compos. Mater., 40, 24, 2217-2234 (2006) |
| [37] |
Zhang, Y.; Zhou, Z., Experimental and multiscale numerical investigation on failure behavior of satin woven carbon/carbon composites subjected to pin-loading, Int. J. Mech. Sci., 219, 107129 (2022) |
| [38] |
Chao, X.; Qi, L.; Cheng, J.; Tian, W.; Zhang, S.; Li, H., Numerical evaluation of the effect of pores on effective elastic properties of carbon/carbon composites, Compos. Struct., 196, 108-116 (2018) |
| [39] |
Ghazi, A.; Berke, P.; Kamel, K. E.M.; Sonon, B.; Tiago, C.; Massart, T. J., Multiscale computational modelling of closed cell metallic foams with detailed microstructural morphological control, Int. J. Eng. Sci., 143, 92-114 (2019) |
| [40] |
Wan, Y.; Straumit, I.; Takahashi, J.; Lomov, S. V., Micro-CT analysis of the orientation unevenness in randomly chopped strand composites in relation to the strand length, Compos. Struct., 206, 865-875 (2018) |
| [41] |
Sun, Q.; Jain, M. K., Computational elastic analysis of AA7075-o using 3d-microstructrure-based-RVE with really-distributed particles, Int. J. Mech. Sci., 221, 107192 (2022) |
| [42] |
Grabowski, G., Modelling of thermal expansion of single- and two-phase ceramic polycrystals utilising synthetic 3D microstructures, Comput. Mater. Sci, 156, 7-16 (2019) |
| [43] |
Ghossein, E.; Lévesque, M., Random generation of periodic hard ellipsoids based on molecular dynamics: a computationally-efficient algorithm, J. Comput. Phys., 253, 471-490 (2013) · Zbl 1349.65081 |
| [44] |
Ghossein, E.; Lévesque, M., A fully automated numerical tool for a comprehensive validation of homogenization models and its application to spherical particles reinforced composites, Int. J. Solids Struct., 49, 11, 1387-1398 (2012) |
| [45] |
Bahmani, A.; Li, G.; Willett, T. L.; Montesano, J., Three-dimensional microscopic assessment of randomly distributed representative volume elements for high fiber volume fraction unidirectional composites, Compos. Struct., 192, 153-164 (2018) |
| [46] |
Schneider, M., The sequential addition and migration method to generate representative volume elements for the homogenization of short fiber reinforced plastics, Comput. Mech., 59, 2, 247-263 (2017) |
| [47] |
Mehta, A.; Schneider, M., A sequential addition and migration method for generating microstructures of short fibers with prescribed length distribution, Comput. Mech., 70, 1-23 (2022) · Zbl 1501.74071 |
| [48] |
Tian, W.; Qi, L.; Chao, X., Minimum potential method appropriate to generate 2d RVEs of composites with high fiber volume fraction, Compos. Struct., 1, 1 (2023) |
| [49] |
Tian, W.; Chao, X.; Fu, M. W.; Qi, L., An algorithm for generation of RVEs of composites with high particle volume fractions, Compos. Sci. Technol., 207, 108714 (2021) |
| [50] |
Mercier, S.; Kowalczyk-Gajewska, K.; Czarnota, C., Effective behavior of composites with combined kinematic and isotropic hardening based on additive tangent mori-Tanaka scheme, Compos. Part B: Eng., 174, 107052 (2019) |
| [51] |
Segurado, J.; Llorca, J., A numerical approximation to the elastic properties of sphere-reinforced composites, J. Mech. Phys. Solids, 50, 10, 2107-2121 (2002) · Zbl 1151.74335 |
| [52] |
Wippler, J.; Fünfschilling, S.; Fritzen, F.; Böhlke, T.; Hoffmann, M. J., Homogenization of the thermoelastic properties of silicon nitride, Acta Mater., 59, 6029-6038 (2011) |
| [53] |
Nguyen, V.-D.; Béchet, E.; Geuzaine, C.; Noels, L., Imposing periodic boundary condition on arbitrary meshes by polynomial interpolation, Comput. Mater. Sci., 55, 390-406 (2012) |
| [54] |
Reis, F. J.P.; Andrade Pires, F. M., A mortar based approach for the enforcement of periodic boundary conditions on arbitrarily generated meshes, Comput. Methods Appl. Mech. Eng., 274, 168-191 (2014) · Zbl 1296.74092 |
| [55] |
Akpoyomare, A. I.; Okereke, M. I.; Bingley, M. S., Virtual testing of composites: imposing periodic boundary conditions on general finite element meshes, Compos. Struct., 160, 983-994 (2017) |
| [56] |
Chawla, N.; Sidhu, R. S.; Ganesh, V. V., Three-dimensional visualization and microstructure-based modeling of deformation in particle-reinforced composites, Acta Mater., 54, 6, 1541-1548 (2006) |
| [57] |
Wong, C. P.; Bollampally, R. S., Thermal conductivity, elastic modulus, and coefficient of thermal expansion of polymer composites filled with ceramic particles for electronic packaging, J. Appl. Polym. Sci., 74, 14, 3396-3403 (1999) |
| [58] |
Lahellec, N.; Suquet, P., Effective response and field statistics in elasto-plastic and elasto-viscoplastic composites under radial and non-radial loadings, Int. J. Plast., 42, 1-30 (2013) |
