[1] N. Sepehry, M. Shamshirsaz, F. Bakhtiari Nejad, Lowcost simulation using model order reduction in structural health monitoring: Application of balanced proper orthogonal decomposition, Structural Control and Health Monitoring, 24(11) (2017) e1994.
[2] N. Sepehry, F. Bakhtiari-Nejad, M. Shamshirsaz, W. Zhu, Nonlinear Modeling of Cracked Beams for Impedance Based Structural Health Monitoring, ASME International Mechanical Engineering Congress and Exposition, Volume 4B: Dynamics, Vibration, and Control, 2017, pp. V04BT05A034-V04BT05A042
[3] N. Sepehry, S. Asadi, M. Shamshirsaz, F. Bakhtiari Nejad, A new model order reduction method based on global kernel k-means clustering: Application in health monitoring of plate using Lamb wave propagation and impedance method, Structural Control and Health Monitoring, 25(9) (2018) e2211.
[4] N. Sepehry, F. Bakhtiari-Nejad, M. Shamshirsaz, Discrete singular convolution and spectral finite element method for predicting electromechanical impedance applied on rectangular plates, Journal of Intelligent Material Systems and Structures, 28(18) (2017) 2473-2488.
[5] A. Benjeddou, Advances in piezoelectric finite element modeling of adaptive structural elements: a survey, Computers & Structures, 76(1-3) (2000) 347-363.
[6] P. Lloyd, M. Redwood, Finite-Difference Method for the Investigation of the Vibrations of Solids and theEvaluation of the Equivalent-Circuit Characteristics of Piezoelectric Resonators. The Journal of the Acoustical Society of America, 39(2) (1966) 346-354.
[7] X. Zhao, K.M. Liew, Free vibration analysis of functionally graded conical shell panels by a meshless method, Composite Structures, 93(2) (2011) 649-664.
[8] E. Carrera, E. Zappino, G. Li, Analysis of beams with piezo-patches by node-dependent kinematic finite element method models, Journal of Intelligent Material Systems and Structures, 29(7) (2018) 1379-1393.
[9] R. Ansari, J. Torabi, E. Hasrati, Axisymmetric nonlinear vibration analysis of sandwich annular plates with FGCNTRC face sheets based on the higher-order shear deformation plate theory, Aerospace Science and Technology, 77 (2018) 306-319.
[10] E. Hasrati, R. Ansari, J. Torabi, Nonlinear forced vibration analysis of FG-CNTRC cylindrical shells under thermal loading using a numerical strategy, International Journal of Applied Mechanics, 9(08) (2017) 1750108.
[11] E. Hasrati, R. Ansari, J. Torabi, A novel numerical solution strategy for solving nonlinear free and forced vibration problems of cylindrical shells, Applied Mathematical Modelling, 53 (2018) 653-672.
[12] J. Torabi, R. Ansari, Nonlinear free vibration analysis of thermally induced FG-CNTRC annular plates: Asymmetric versus axisymmetric study, Computer Methods in Applied Mechanics and Engineering, 324 (2017) 327-347.
[13] C. Song, E.T. Ooi, S. Natarajan, A review of the scaled boundary finite element method for two-dimensional linear elastic fracture mechanics, Engineering Fracture Mechanics, 187 (2018) 45-73.
[14] C. Song, J.P. Wolf, The scaled boundary finite-element method—alias consistent infinitesimal finite-element cell method—for elastodynamics, Computer Methods in applied mechanics and engineering, 147(3-4) (1997) 329-355.
[15] J.P. Wolf, C. Song, The scaled boundary finite-element method–a primer: derivations, Computers & Structures, 78(1-3) (2000) 191-210.
[16] C. Song, J.P. Wolf, The scaled boundary finite-element method–a primer: solution procedures, Computers & Structures, 78(1-3) (2000) 211-225.
[17] A.J. Deeks, J.P. Wolf, A virtual work derivation of the scaled boundary finite-element method for elastostatics, Computational Mechanics, 28(6) (2002) 489-504.
[18] A. Yaseri, M. Bazyar, N. Hataf, 3D coupled scaled boundary finite-element/finite-element analysis of ground vibrations induced by underground train movement, Computers and Geotechnics, 60 (2014) 1-8.
[19] R. Ansari, R. Rajabiehfard, B. Arash, Nonlocal finite element model for vibrations of embedded multi-layered graphene sheets, Computational Materials Science, 49(4) (2010) 831-838.
[20] M.H. Bazyar, C. Song, Transient analysis of wave propagation in non-homogeneous elastic unbounded domains by using the scaled boundary finite-element method, Earthquake Engineering & Structural Dynamics, 35(14) (2006) 1787-1806.
[21] H. Gravenkamp, C. Song, J. Prager, A numerical approach for the computation of dispersion relations for plate structures using the scaled boundary finite element method, Journal of Sound and Vibration, 331(11) (2012) 2543-2557.
[22] H. Gravenkamp, C. Birk, C. Song, Simulation of elastic guided waves interacting with defects in arbitrarily long structures using the scaled boundary finite element method, Journal of Computational Physics, 295 (2015) 438-455.
[23] S. Chidgzey, J. Trevelyan, A. Deeks, Coupling of the boundary element method and the scaled boundary finite element method for computations in fracture mechanics, Computers & Structures, 86(11-12) (2008) 1198-1203.
[24] Z. Yang, A. Deeks, H. Hao, Transient dynamic fracture analysis using scaled boundary finite element method: a frequency-domain approach, Engineering Fracture Mechanics 74(5) (2007) 669-687.
[25] C. Li, H. Man, C. Song, W. Gao, Fracture analysis of piezoelectric materials using the scaled boundary finite element method, Engineering Fracture Mechanics, 97 (2013) 52-71.
[26] H. Man, C. Song, W. Gao, F. Tin-Loi, Semi-analytical analysis for piezoelectric plate using the scaled boundary finite-element method, Computers & Structures,137 (2014) 47-62.
[27] C. Li, H. Man, C. Song, W. Gao, Analysis of cracks and notches in piezoelectric composites using scaled boundary finite element method, Composite Structures, 101 (2013) 191-203.
[28] M.H. Bazyar, A. Talebi, Scaled boundary finite-element method for solving non-homogeneous anisotropic heat conduction problems, Applied Mathematical Modelling, 39(23-24) (2015) 7583-7599.
[29] C. Song, J.P. Wolf, The scaled boundary finite element method—alias consistent infinitesimal finite element cell method—for diffusion, International Journal for Numerical Methods in Engineering, 45(10) (1999) 1403- 1431.
[30] F. Li, P. Ren, A novel solution for heat conduction problems by extending scaled boundary finite element method, International Journal of Heat and Mass Transfer, 95 (2016) 678-688.
[31] C. Song, The scaled boundary finite element method in structural dynamics, International Journal for Numerical Methods in Engineering, 77(8) (2009) 1139-1171.
[32] C. Birk, C. Song, An improved non-classical method for the solution of fractional differential equations, Computational Mechanics, 46(5) (2010) 721-734.
[33] C. Song, A matrix function solution for the scaled boundary finite-element equation in statics, Computer Methods in Applied Mechanics and Engineering, 193(23- 26) (2004) 2325-2356.
[34] Z. Yang, A. Deeks, Calculation of transient dynamic stress intensity factors at bimaterial interface cracks using a SBFEM-based frequency-domain approach, Science in China Series G: Physics, Mechanics and Astronomy, 51(5) (2008) 519-531.
[35] E. Ooi, Z. Yang, Modelling dynamic crack propagation using the scaled boundary finite element method, International Journal for Numerical Methods in Engineering, 88(4) (2011) 329-349.
[36] E.T. Ooi, C. Song, F. TinLoi, Z. Yang, Polygon scaled boundary finite elements for crack propagation modelling, International Journal for Numerical Methods in Engineering, 91(3) (2012) 319-342.
[37] D. Braess, M. Kaltenbacher, Efficient 3D-finite element formulation for thin mechanical and piezoelectric structures, International Journal for Numerical Methods in Engineering, 73(2) (2007) 147-161.
[38] M.C. Ray, K.M. Rao, B. Samanta, Exact analysis of coupled electroelastic behaviour of a piezoelectric plate under cylindrical bending, Computers & Structures, 45(4) (1992) 667-677.
[39] T. Kant, S.M. Shiyekar, Cylindrical bending of piezoelectric laminates with a higher order shear and normal deformation theory, Computers & Structures, 86(15-16) (2008) 1594-1603.
[40] X.Y. Li, J. Wu, H.J. Ding, W.Q. Chen, 3D analytical solution for a functionally graded transversely isotropic piezoelectric circular plate under tension and bending, International Journal of Engineering Science, 49(7) (2011) 664-676.
[41] J.-Y. Chen, H.-J. Ding, W.-Q. Chen, 3D Analytical Solution for a Transversely Isotropic Magnetoelectroelastic Rotating Disc with Functionally Graded Property, in: Piezoelectricity, Acoustic Waves and Device Applications, World Scientific, 2007 pp. 129- 136.
[42] N. Sepehry, F. Bakhtiari-Nejad, W. Zhu, Scaled Boundary Finite Element Method for Modeling of Impedance Based Structural Health Monitoring of 2D Structure, in: ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, American Society of Mechanical Engineers, 2018, pp. V008T010A034- V008T010A034.
[43] M. Kögl, E.C.N. Silva, Topology optimization of smart structures: design of piezoelectric plate and shell actuators, Smart Materials and Structures, 14(2) (2005) 387-399.
[44] B. Zheng, C.-J. Chang, H.C. Gea, Topology optimization of energy harvesting devices using piezoelectric materials, Structural and Multidisciplinary Optimization, 38(1) (2008) 17-23.
[45] M.C. Ray, R. Bhattacharyya, B. Samanta, Static analysis of an intelligent structure by the finite element method, Computers & Structures, 52(4) (1994) 617-631.
[46] J. Joseph, S. Raja, Y.C. Lu, Finite Element Analysis of Piezoelectric Composite Actuators, SAE International Journal of Materials and Manufacturing, 4(1) (2011) 328-339.
[47] H. Man, C. Song, W. Gao, F. Tin-Loi, A unified 3D-based technique for plate bending analysis using scaled boundary finite element method, International Journal for Numerical Methods in Engineering, 91(5) (2012) 491-515.
[48] C. Song, The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation, John Wiley & Sons, (2018).