[1] |
Zuo, X.; Yan, Z.; Hou, K.; Yang, H.; Xi, Y., Highly stable hierarchical porous nanosheet composite phase change materials for thermal energy storage, Applied Thermal Engineering, 163, 114417 (2019) · doi:10.1016/j.applthermaleng.2019.114417 |
[2] |
Sahmani, S.; Shahali, M.; Ghadiri-Nejad, M.; Khandan, A.; Aghdam, M. M.; Saber-Samandari, S., Effect of copper oxide nanoparticles on electrical conductivity and cell viability of calcium phosphate scaffolds with improved mechanical strength for bone tissue engineering, The European Physical Journal Plus, 134, 1-11 (2019) · doi:10.1140/epjp/i2019-12375-x |
[3] |
Jeong, J. H.; Kim, Y. A.; Kim, B. H., Electrospun polyacrylonitrile/cyclodextrin-derived hierarchical porous carbon nanofiber/MnO_2 composites for supercapacitor applications, Carbon, 164, 296-304 (2020) · doi:10.1016/j.carbon.2020.03.052 |
[4] |
Chen, S.; Gao, J.; Yan, E.; Wang, Y.; Li, Y.; Lu, H.; Fan, L.; Wang, D.; An, Q., A novel porous composite membrane of PHA/PVA via coupling of electrospinning and spin coating for antibacterial applications, Materials Letters, 301, 130279 (2021) · doi:10.1016/j.matlet.2021.130279 |
[5] |
Sun, Y.; Liu, D.; Liu, W.; Liu, H.; Zhao, J.; Chen, P.; Wang, Q.; Wang, X.; Zou, Y., Fabrication of porous polyaniline/MWCNTs coated Co_9S_8 composite for electrochemical hydrogen storage application, Journal of Physics and Chemistry of Solids, 157, 110235 (2021) · doi:10.1016/j.jpcs.2021.110235 |
[6] |
HWANG, J., KIM, Y., YANG, H., and OH, J. H. Fabrication of hierarchically porous structured PDMS composites and their application as a flexible capacitive pressure sensor. Composites Part B: Engineering, 108607 (2021) |
[7] |
Prakash, C.; Singh, S.; Ramakrishna, S.; Królczyk, G.; Le, C. H., Microwave sintering of porous Ti-Nb-HA composite with high strength and enhanced bioactivity for implant applications, Journal of Alloys and Compounds, 824, 153774 (2020) · doi:10.1016/j.jallcom.2020.153774 |
[8] |
Sahmani, S.; Bahrami, M.; Aghdam, M. M.; Ansari, R., Surface effects on the nonlinear forced vibration response of third-order shear deformable nanobeams, Composite Structures, 118, 149-158 (2014) · doi:10.1016/j.compstruct.2014.07.026 |
[9] |
Sahmani, S.; Bahrami, M.; Ansari, R., Surface energy effects on the free vibration characteristics of postbuckled third-order shear deformable nanobeams, Composite Structures, 116, 552-561 (2014) · doi:10.1016/j.compstruct.2014.05.035 |
[10] |
Sedighi, H. M.; Keivani, M.; Abadyan, M., Modified continuum model for stability analysis of asymmetric FGM double-sided NEMS: corrections due to finite conductivity, surface energy and nonlocal effect, Composites Part B: Engineering, 83, 117-133 (2015) · doi:10.1016/j.compositesb.2015.08.029 |
[11] |
Li, L.; Li, X.; Hu, Y., Free vibration analysis of nonlocal strain gradient beams made of functionally graded material, International Journal of Engineering Science, 102, 77-92 (2016) · Zbl 1423.74399 · doi:10.1016/j.ijengsci.2016.02.010 |
[12] |
Şimşek, M., Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach, International Journal of Engineering Science, 105, 12-27 (2016) · Zbl 1423.74412 · doi:10.1016/j.ijengsci.2016.04.013 |
[13] |
Sahmani, S.; Aghdam, M. M., Nonlinear vibrations of pre- and post-buckled lipid supramolecular micro/nano-tubules via nonlocal strain gradient elasticity theory, Journal of Biomechanics, 65, 49-60 (2017) · doi:10.1016/j.jbiomech.2017.09.033 |
[14] |
Sahmani, S.; Aghdam, M. M., Size-dependent axial instability of microtubules surrounded by cytoplasm of a living cell based on nonlocal strain gradient elasticity theory, Journal of Theoretical Biology, 422, 59-71 (2017) · Zbl 1370.92024 · doi:10.1016/j.jtbi.2017.04.012 |
[15] |
Sahmani, S.; Aghdam, M. M., Size-dependent nonlinear bending of micro/nano-beams made of nanoporous biomaterials including a refined truncated cube cell, Physics Letters, Section A: General, Atomic and Solid State Physics, 381, 3818-3830 (2017) · doi:10.1016/j.physleta.2017.10.013 |
[16] |
Khakalo, S.; Balobanov, V.; Niiranen, J., Modelling size-dependent bending, buckling and vibrations of 2D triangular lattices by strain gradient elasticity models: applications to sandwich beams and auxetics, International Journal of Engineering Science, 127, 33-52 (2018) · Zbl 1423.74343 · doi:10.1016/j.ijengsci.2018.02.004 |
[17] |
Thanh, C. L.; Tran, L. V.; Vu-Huu, T.; Abdel-Wahab, M., The size-dependent thermal bending and buckling analyses of composite laminate microplate based on new modified couple stress theory and isogeometric analysis, Computer Methods in Applied Mechanics and Engineering, 350, 337-361 (2019) · Zbl 1441.74082 · doi:10.1016/j.cma.2019.02.028 |
[18] |
Thanh, C. L.; Tran, L. V.; Bui, T. Q.; Nguyen, H. X.; Abdel-Wahab, M., Isogeometric analysis for size-dependent nonlinear thermal stability of porous FG microplates, Composite Structures, 221, 110838 (2019) · doi:10.1016/j.compstruct.2019.04.010 |
[19] |
Sahmani, S.; Fattahi, A. M.; Ahmed, N. A., Analytical mathematical solution for vibrational response of postbuckled laminated FG-GPLRC nonlocal strain gradient micro-/nanobeams, Engineering with Computers, 35, 1173-1189 (2019) · doi:10.1007/s00366-018-0657-8 |
[20] |
Mercan, K.; Emsen, E.; Civalek, O., Effect of silicon dioxide substrate on buckling behavior of Zinc Oxide nanotubes via size-dependent continuum theories, Composite Structures, 218, 130-141 (2019) · doi:10.1016/j.compstruct.2019.03.022 |
[21] |
Sarafraz, A.; Sahmani, S.; Aghdam, M. M., Nonlinear secondary resonance of nanobeams under subharmonic and superharmonic excitations including surface free energy effects, Applied Mathematical Modelling, 66, 195-226 (2019) · Zbl 1481.74465 · doi:10.1016/j.apm.2018.09.013 |
[22] |
Sarafraz, A.; Sahmani, S.; Aghdam, M. M., Nonlinear primary resonance analysis of nanoshells including vibrational mode interactions based on the surface elasticity theory, Applied Mathematics and Mechanics (English Edition), 41, 2, 233-260 (2020) · Zbl 1462.74077 · doi:10.1007/s10483-020-2564-5 |
[23] |
Tang, H.; Li, L.; Hu, Y., Coupling effect of thickness and shear deformation on size-dependent bending of micro/nano-scale porous beams, Applied Mathematical Modelling, 66, 527-547 (2019) · Zbl 1481.74467 · doi:10.1016/j.apm.2018.09.027 |
[24] |
Sahmani, S.; Safaei, B., Nonlinear free vibrations of bi-directional functionally graded micro/nano-beams including nonlocal stress and microstructural strain gradient size effects, Thin-Walled Structures, 140, 342-356 (2019) · doi:10.1016/j.tws.2019.03.045 |
[25] |
Sahmani, S.; Safaei, B., Nonlocal strain gradient nonlinear resonance of bi-directional functionally graded composite micro/nano-beams under periodic soft excitation, Thin-Walled Structures, 143, 106226 (2019) · doi:10.1016/j.tws.2019.106226 |
[26] |
Sahmani, S.; Safaei, B., Influence of homogenization models on size-dependent nonlinear bending and postbuckling of bi-directional functionally graded micro/nano-beams, Applied Mathematical Modelling, 82, 336-358 (2020) · Zbl 1481.74640 · doi:10.1016/j.apm.2020.01.051 |
[27] |
Fang, J.; Zheng, S.; Xiao, J.; Zhang, X., Vibration and thermal buckling analysis of rotating nonlocal functionally graded nanobeams in thermal environment, Aerospace Science and Technology, 106, 106146 (2020) · doi:10.1016/j.ast.2020.106146 |
[28] |
Li, Q.; Wu, D.; Gao, W.; Tin-Loi, F., Size-dependent instability of organic solar cell resting on Winkler-Pasternak elastic foundation based on the modified strain gradient theory, International Journal of Mechanical Sciences, 177, 105306 (2020) · doi:10.1016/j.ijmecsci.2019.105306 |
[29] |
Yuan, Y.; Zhao, X.; Zhao, Y.; Sahmani, S.; Safaei, B., Dynamic stability of nonlocal strain gradient FGM truncated conical microshells integrated with magnetostrictive facesheets resting on a nonlinear viscoelastic foundation, Thin-Walled Structures, 159, 107249 (2021) · doi:10.1016/j.tws.2020.107249 |
[30] |
Yuan, Y.; Zhao, K.; Han, Y.; Sahmani, S.; Safaei, B., Nonlinear oscillations of composite conical microshells with in-plane heterogeneity based upon a couple stress-based shell model, Thin-Walled Structures, 154, 106857 (2020) · doi:10.1016/j.tws.2020.106857 |
[31] |
Yuan, Y.; Zhao, K.; Zhao, Y.; Sahmani, S.; Safaei, B., Couple stress-based nonlinear buckling analysis of hydrostatic pressurized functionally graded composite conical microshells, Mechanics of Materials, 148, 103507 (2020) · doi:10.1016/j.mechmat.2020.103507 |
[32] |
Karamanli, A.; Vo, T. P., Size-dependent behaviour of functionally graded sandwich microbeams based on the modified strain gradient theory, Composite Structures, 246, 112401 (2020) · doi:10.1016/j.compstruct.2020.112401 |
[33] |
Lin, F.; Tong, L. H.; Shen, H. S.; Lim, C. W.; Xiang, Y., Assessment of first and third order shear deformation beam theories for the buckling and vibration analysis of nanobeams incorporating surface stress effects, International Journal of Mechanical Sciences, 186, 105873 (2020) · doi:10.1016/j.ijmecsci.2020.105873 |
[34] |
Fan, F.; Xu, Y.; Sahmani, S.; Safaei, B., Modified couple stress-based geometrically nonlinear oscillations of porous functionally graded microplates using NURBS-based isogeometric approach, Computer Methods in Applied Mechanics and Engineering, 372, 113400 (2020) · Zbl 1506.74181 · doi:10.1016/j.cma.2020.113400 |
[35] |
Fan, F.; Sahmani, S.; Safaei, B., Isogeometric nonlinear oscillations of nonlocal strain gradient PFGM micro/nano-plates via NURBS-based formulation, Composite Structures, 255, 112969 (2021) · doi:10.1016/j.compstruct.2020.112969 |
[36] |
Fan, F.; Safaei, B.; Sahmani, S., Buckling and postbuckling response of nonlocal strain gradient porous functionally graded micro/nano-plates via NURBS-based isogeometric analysis, Thin-Walled Structures, 159, 107231 (2021) · doi:10.1016/j.tws.2020.107231 |
[37] |
Tang, Y.; Qing, H., Elastic buckling and free vibration analysis of functionally graded Timoshenko beam with nonlocal strain gradient integral model, Applied Mathematical Modelling, 96, 657-677 (2021) · Zbl 1481.74311 · doi:10.1016/j.apm.2021.03.040 |
[38] |
Belarbi, M. O.; Houari, M. S A.; Daikh, A. A.; Garg, A.; Merzouki, T.; Chalak, H. D.; Hirane, H., Nonlocal finite element model for the bending and buckling analysis of functionally graded nanobeams using a novel shear deformation theory, Composite Structures, 264, 113712 (2021) · doi:10.1016/j.compstruct.2021.113712 |
[39] |
Yin, S.; Xiao, Z.; Deng, Y.; Zhang, G.; Liu, J.; Gu, S., Isogeometric analysis of size-dependent Bernoulli-Euler beam based on a reformulated strain gradient elasticity theory, Computers & Structures, 253, 106577 (2021) · doi:10.1016/j.compstruc.2021.106577 |
[40] |
Wang, B. B.; Lu, C.; Fan, C. Y.; Zhao, M. H., A meshfree method with gradient smoothing for free vibration and buckling analysis of a strain gradient thin plate, Engineering Analysis with Boundary Elements, 132, 159-167 (2021) · Zbl 1521.74106 · doi:10.1016/j.enganabound.2021.07.014 |
[41] |
Bacciocchi, M.; Tarantino, A. M., Analytical solutions for vibrations and buckling analysis of laminated composite nanoplates based on third-order theory and strain gradient approach, Composite Structures, 272, 114083 (2021) · doi:10.1016/j.compstruct.2021.114083 |
[42] |
Song, R.; Sahmani, S.; Safaei, B., Isogeometric nonlocal strain gradient quasi-three-dimensional plate model for thermal postbuckling of porous functionally graded microplates with central cutout with different shapes, Applied Mathematics and Mechanics (English Edition), 42, 6, 771-786 (2021) · Zbl 1476.83019 · doi:10.1007/s10483-021-2725-7 |
[43] |
Li, Y. S.; Xiao, T., Free vibration of the one-dimensional piezoelectric quasicrystal microbeams based on modified couple stress theory, Applied Mathematical Modelling, 96, 733-750 (2021) · Zbl 1481.74282 · doi:10.1016/j.apm.2021.03.028 |
[44] |
Tao, C.; Dai, T., Isogeometric analysis for size-dependent nonlinear free vibration of graphene platelet reinforced laminated annular sector microplates, European Journal of Mechanics-A/Solids, 86, 104171 (2021) · Zbl 1479.74057 · doi:10.1016/j.euromechsol.2020.104171 |
[45] |
Sahmani, S.; Safaei, B., Microstructural-dependent nonlinear stability analysis of random checkerboard reinforced composite micropanels via moving Kriging meshfree approach, The European Physical Journal Plus, 136, 1-31 (2021) · doi:10.1140/epjp/s13360-020-01001-7 |
[46] |
Zhang, Y.; Sahmani, S.; Safaei, B., Meshfree-based applied mathematical modeling for nonlinear stability analysis of couple stress-based lateral pressurized randomly reinforced microshells, Engineering with Computers, 1, 1-16 (2021) |
[47] |
Phung-Van, P.; Thai, C. H.; Nguyen-Xuan, H.; Abdel-Wahab, M., An isogeometric approach of static and free vibration analyses for porous FG nanoplates, European Journal of Mechanics-A/Solids, 78, 103851 (2019) · Zbl 1472.74206 · doi:10.1016/j.euromechsol.2019.103851 |
[48] |
Senthilnathan, N. R.; Lim, S. P.; Lee, K. H.; Chow, S. T., Buckling of sheardeformable plates, AIAA Journal, 25, 1268-1271 (2012) · doi:10.2514/3.48742 |
[49] |
Lam, D. C C.; Yang, F.; Chong, A. C M.; Wang, J.; Tong, P., Experiments and theory in strain gradient elasticity, Journal of the Mechanics and Physics of Solids, 51, 1477-1508 (2003) · Zbl 1077.74517 · doi:10.1016/S0022-5096(03)00053-X |
[50] |
Zhou, S.; Li, A.; Wang, B., A reformulation of constitutive relations in the strain gradient elasticity theory for isotropic materials, International Journal of Solids and Structures, 80, 28-37 (2016) · doi:10.1016/j.ijsolstr.2015.10.018 |
[51] |
Fu, G.; Zhou, S.; Qi, L., On the strain gradient elasticity theory for isotropic materials, International Journal of Engineering Science, 154, 103348 (2020) · Zbl 07228679 · doi:10.1016/j.ijengsci.2020.103348 |
[52] |
Liew, K. M.; Yang, J.; Kitipornchai, S., Postbuckling of piezoelectric FGM plates subject to thermo-electro-mechanical loading, International Journal of Solids and Structures, 40, 3869-3892 (2003) · Zbl 1038.74546 · doi:10.1016/S0020-7683(03)00096-9 |
[53] |
Miller, R. E.; Shenoy, V. B., Size-dependent elastic properties of nanosized structural elements, Nanotechnology, 11, 139-147 (2000) · doi:10.1088/0957-4484/11/3/301 |
[54] |
Wang, Y. G.; Lin, W. H.; Liu, N., Large amplitude free vibration of size-dependent circular microplates based on the modified couple stress theory, International Journal of Mechanical Sciences, 71, 51-57 (2013) · doi:10.1016/j.ijmecsci.2013.03.008 |