[1] Wan, H., Ohtaki, H., Kotosaka, S., Hu, G., A study of negative Poisson's ratios in auxetic honeycombs based on a large deflection model, European Journal of Mechanics-A/Solids, 23(1), 2024, 95-106.
[2] Zhang, X.C., An, L.Q., Ding, H.M., Zhu, X.Y., El-Rich, M., The influence of cell micro-structure on the in-plane dynamic crushing of honeycombs with negative Poisson’s ratio, Journal of Sandwich Structures & Materials, 17(1), 2015, 26-55.
[3] Zhu, X., Zhang, J., Zhang, W., Chen, J., Vibration frequencies and energies of an auxetic honeycomb sandwich plate, Mechanics of Advanced Materials and Structures, 26(23), 2019, 1951-1957.
[4] Cong, P.H., Khanh, N.D., Khoa, N.D., Duc, N.D., New approach to investigate nonlinear dynamic response of sandwich auxetic double curves shallow shells using TSDT, Composite Structures, 185, 2018, 455-465.
[5] Nguyen, D.D., Pham, C.H., Nonlinear dynamic response and vibration of sandwich composite plates with negative Poisson’s ratio in auxetic honeycombs, Journal of Sandwich Structures & Materials, 20(6), 2018, 692-717.
[6] Duc, N.D., Seung, E.K., Cong, P.H., Anh, N.T., Khoa, N.D., Dynamic response and vibration of composite double curved shallow shells with negative Poisson's ratio in auxetic honeycombs core layer on elastic foundations subjected to blast and damping loads, International Journal of Mechanical Sciences, 133, 2017, 504-512.
[7] Pham, Q.H., Nguyen, P.C., Tran, T.T., Nguyen-Thoi, T., Free vibration analysis of nanoplates with auxetic honeycomb core using a new third-order finite element method and nonlocal elasticity theory, Engineering with Computers, 39, 2023, 233–251.
[8] Nguyen, N.V., Nguyen, X.H., Nguyen, T.N.; Kang, J., Lee, J., A comprehensive analysis of auxetic honeycomb sandwich plates with graphene nanoplatelets reinforcement, Composite Structures, 259, 2021, 113213.
[9] Eipakchi, H., Nasrekani, F.M., Vibrational behavior of composite cylindrical shells with auxetic honeycombs core layer subjected to a moving pressure, Composite Structures, 254, 2020, 112847.
[10] Eipakchi, H., Nasrekani, F.M., Geometrically nonlinear frequency analysis of composite cylinders with metamaterial honeycomb layer and adjustable Poisson’s ratio using the multiple scale method, Thin-Walled Structures, 169, 2021, 10844.
[11] Pham, Q.H., Tran, V.K., Tran, T.T., Vibration characteristics of sandwich plates with an auxetic honeycomb core and laminated three-phase skin layers under blast load, Defence Technology, 24, 2023, 148-163.
[12] Nouraei, M., Zamani, V., Civalek, Ö., Vibration of smart sandwich plate with an auxetic core and dual-FG nanocomposite layers integrated with piezoceramic actuators, Composite Structures, 315, 2023, 117014.
[13] Aktas, K.G., 3D wave dispersion analysis of graphene platelet-reinforced ultra-stiff double functionally graded nanocomposite sandwich plates with metamaterial honeycomb core layer, Mechanics of Time-Dependent Materials, 2024, 1-36.
[14] Sobhy, M., Al Mukahal, F.H., Wave dispersion analysis of functionally graded GPLs-reinforced sandwich piezoelectromagnetic plates with a honeycomb core, Mathematics, 10(17), 2022, 3207.
[15] Aktas, K.G., Three-dimensional thermomechanical wave propagation analysis of sandwich nanoplate with graphene-reinforced foam core and magneto-electro-elastic face layers using nonlocal strain gradient elasticity theory, Acta Mechanica, 235(9), 2024, 5587-5619.
[16] Pehlivan, F., Esen, I., Aktas, K.G., Thermomechanical Response of Smart Magneto-Electro-Elastic FGM Nanosensor Beams with Intended Porosity, Arabian Journal for Science and Engineering, 2024, 1-23.
[17] Pham, Q.H., Nguyen, P.C., Tran, T.T., Free vibration response of auxetic honeycomb sandwich plates using an improved higher-order ES-MITC3 element and artificial neural network, Thin-Walled Structures, 175, 2022, 109203.
[18] Cheng, Y., Zhang, K., Liang, B., Cheng, H., Hou, G., Xu, G., Jin, W., Micromechanics of CNT grafted FRP based on hierarchical homogenization of transversely isotropic multi-coated model, International Journal of Mechanical Sciences, 161, 2019, 105014.
[19] Swain, A., Roy, T., Viscoelastic modelling and dynamic characteristics of CNTs-CFRP-2DWF composite shell structures, Composites Part B: Engineering, 141, 2018, 100-122.
[20] Seidi, J., Kamarian, S., Free vibrations of non-uniform CNT/fiber/polymer nanocomposite beams, Curved and Layered Structures, 4(1), 2017, 21-30.
[21] Yousefi, A.H., Memarzadeh, P., Afshari, H., Hosseini, S.J., Agglomeration effects on free vibration characteristics of three-phase CNT/polymer/fiber laminated truncated conical shells, Thin-Walled Structures, 157, 2020, 107077.
[22] Yousefi, A.H., Memarzadeh, P., Afshari, H., Hosseini, S.J., Dynamic characteristics of truncated conical panels made of FRPs reinforced with agglomerated CNTs, Structures, 33, 2021, 4701-4717.
[23] Noroozi, M., Zajkani, A., Ghadiri, M., Dynamic plastic impact behavior of CNTs/fiber/polymer multiscale laminated composite doubly curved shells, International Journal of Mechanical Sciences, 195, 2021, 106223.
[24] Jeawon, Y., Drosopoulos, G., Foutsitzi, G., Stavroulakis, G., Adali, S., Optimization and analysis of frequencies of multi-scale graphene/fibre reinforced nanocomposite laminates with non-uniform distributions of reinforcements, Engineering Structures, 228, 2021, 111525.
[25] Hughes, T.J., Cottrell, J.A., Bazilevs, Y., Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, Computer Methods in Applied Mechanics and Engineering, 194(39-41), 2005, 4135-4195.
[26] Borden, M.J., Scott, M.A., Evans, J.A.; Hughes, T.J., Isogeometric finite element data structures based on Bézier extraction of NURBS, International Journal for Numerical Methods in Engineering, 87(1‐5), 2011, 15-47.
[27] Nguyen, X.H., Tran, L.V., Thai, C.H., Kulasegaram, S., Bordas, S.P.A., Isogeometric analysis of functionally graded plates using a refined plate theory, Composites Part B: Engineering, 64, 2014, 222-234.
[28] Vuong, A.V., Heinrich, C., Simeon, B., ISOGAT: A 2D tutorial MATLAB code for Isogeometric Analysis, Computer Aided Geometric Design, 27(8), 2010, 644-655.
[29] Lieu, Q.X., Lee, D., Kang, J., Lee, J., NURBS-based modeling and analysis for free vibration and buckling problems of in-plane bi-directional functionally graded plates, Mechanics of Advanced Materials and Structures, 26(12), 2019, 1064-1080.
[30] Phung, V.P., Abdel, W.M., Liew, K., Bordas, S., Nguyen, X.H., Isogeometric analysis of functionally graded carbon nanotube-reinforced composite plates using higher-order shear deformation theory, Composite Structures, 123, 2015, 137-149.
[31] Nguyen, V.P., Anitescu, C., Bordas, S.P., Rabczuk, T., Isogeometric analysis: an overview and computer implementation aspects, Mathematics and Computers in Simulation, 117, 2015, 89-116.
[32] Echter, R., Bischoff, M., Numerical efficiency, locking and unlocking of NURBS finite elements, Computer Methods in Applied Mechanics and Engineering, 199(5-8), 2020, 374-382.
[33] Nguyen, H.X., Nguyen, T.N., Abdel, W.M., Bordas, S.P., Nguyen, X.H., Vo, T.P., A refined quasi-3D isogeometric analysis for functionally graded microplates based on the modified couple stress theory, Computer Methods in Applied Mechanics and Engineering, 313, 2017, 904-940.
[34] Natarajan, S., Chakraborty, S., Thangavel, M., Bordas, S., Rabczuk, T., Size-dependent free flexural vibration behavior of functionally graded nanoplates, Computational Materials Science, 65, 2012, 74-80.
[35] Anitescu, C., Nguyen, C., Rabczuk, T., Zhuang, X., Isogeometric analysis for explicit elastodynamics using a dual-basis diagonal mass formulation, Computer Methods in Applied Mechanics and Engineering, 346, 2019, 574-591.
[36] Zhao, S., Lin, S., Dong, M., Guo, H., Zheng, H., Mass lumping schemes fitted to MLS-based numerical manifold method in vibration of plates with cutouts using CPT and FSDT, Composite Structures, 330, 2024, 117815.
[37] Padmanabha, G.A., Fuhg, J.N., Safta, C., Jones, R. E., Bouklas, N., Improving the performance of Stein variational inference through extreme sparsification of physically-constrained neural network models, Computer Methods in Applied Mechanics and Engineering, 432, 2024, 117359.
[38] Guo, H., Zhuang, X., Alajlan, N., Rabczuk, T., Physics-informed deep learning for melting heat transfer analysis with model-based transfer learning, Computers & Mathematics with Applications, 143, 2023, 303-317.
[39] Li, B., Guo, H., Zhuang, X., Material design with topology optimization based on the neural network, International Journal of Computational Methods, 19(08), 2022, 2142013.
[40] Padmanabha, G.A., Safta, C., Bouklas, N., Jones, R.E., Condensed Stein Variational Gradient Descent for Uncertainty Quantification of Neural Networks, arXiv preprint, 2024, arXiv: 2412.16462.
[41] Fuhg, J.N., Kalogeris, I., Fau, A., Bouklas, N., Interval and fuzzy physics-informed neural networks for uncertain fields, Probabilistic Engineering Mechanics, 68, 2022, 103240.
[42] Nasution, M.K., Syah, R., Ramdan, D., Afshari, H., Amirabadi, H., Selim, M.M., Khan, A., Rahman, M.L., Sarjadi, M.S., Su, C.H., Modeling and computational simulation for supersonic flutter prediction of polymer/GNP/fiber laminated composite joined conical-conical shells, Arabian Journal of Chemistry, 15(1), 2022, 103460.
[43] Affdl, J.H., Kardos, J., The Halpin‐Tsai equations: a review, Polymer Engineering & Science, 16(5), 1976, 344-352.
[44] Keshtegar, B., Motezaker, M., Kolahchi, R., Trung, N.T., Wave propagation and vibration responses in porous smart nanocomposite sandwich beam resting on Kerr foundation considering structural damping, Thin-Walled Structures, 154, 2020, 106820.
[45] Gan, L.L., She, G.L., Nonlinear transient response of magneto-electro-elastic cylindrical shells with initial geometric imperfection, Applied Mathematical Modelling, 132, 2014, 166-186.
[46] Reddy, J., Mechanics of laminated plates and shells theory and analysis, CRC Press, Boca Raton, FL, 2004.
[47] Reddy, J., Theory and Analysis of Elastic Plates and Shells, 2nd Edition, CRC Press, 2006.
[48] Wolf, J., Dynamic Soil/Structure Interaction, Prentice Hall, Inc., Englewood Cliffs, New Jersey, 1985.
[49] Natarajan, S., Manickam, G., Bending and vibration of functionally graded material sandwich plates using an accurate theory, Finite Elements in Analysis and Design, 57, 2012, 32-42.
[50] Thai, C.H., Kulasegaram, S., Tran, L.V., Nguyen, X.H., Generalized shear deformation theory for functionally graded isotropic and sandwich plates based on isogeometric approach, Computers & Structures, 141, 2014, 94-112.
[51] Vasiraja N., Nagaraj P., The effect of material gradient on the static and dynamic response of layered functionally graded material plate using finite element method, Bulletin of the Polish Academy of Sciences: Technical Sciences, 2019, 827-838.
[52] Shahsavari, D., Shahsavari, M., Li, L., Karami, B., A novel quasi-3D hyperbolic theory for free vibration of FG plates with porosities resting on Winkler/Pasternak/Kerr foundation, Aerospace Science and Technology, 72, 2018, 134-149.
[53] Baferani, A.H., Saidi, A., Ehteshami, H., Accurate solution for free vibration analysis of functionally graded thick rectangular plates resting on elastic foundation, Composite Structures, 93(7), 2011, 1842-1853.
[54] Abuteir, B., Harkati, E., Boutagouga, D., Mamouri, S., Djeghaba, K., Thermo-mechanical nonlinear transient dynamic and Dynamic-Buckling analysis of functionally graded material shell structures using an implicit conservative/decaying time integration scheme, Mechanics of Advanced Materials and Structures, 29(27), 2022, 5773-5792.
[55] Tornabene, F., Bacciocchi, M., Fantuzzi, N., Reddy, J., Multiscale approach for three‐phase CNT/polymer/fiber laminated nanocomposite structures, Polymer Composites, 40(S1), 2019, 102-126.