Higher order finite elements and the fictitious domain concept for wave propagation analysis
暂无分享,去创建一个
[1] Ernst Rank,et al. Multiscale computations with a combination of the h- and p-versions of the finite-element method , 2003 .
[2] Kenji Uchino,et al. Ferroelectric Devices , 2018 .
[3] C.E. Shannon,et al. Communication in the Presence of Noise , 1949, Proceedings of the IRE.
[4] Mark Ainsworth,et al. Dispersive and Dissipative Behavior of the Spectral Element Method , 2009, SIAM J. Numer. Anal..
[5] Thomas Clarke,et al. GUIDED WAVE HEALTH MONITORING OF COMPLEX STRUCTURES , 2009 .
[6] Bc Lee,et al. Lamb wave propagation modelling for damage detection: II. Damage monitoring strategy , 2007 .
[7] Jean Nicolas,et al. A HIERARCHICAL FUNCTIONS SET FOR PREDICTING VERY HIGH ORDER PLATE BENDING MODES WITH ANY BOUNDARY CONDITIONS , 1997 .
[8] Jian-chun Cheng,et al. Stopbands for lower-order Lamb waves in one-dimensional composite thin plates , 2006 .
[9] Michele Meo,et al. Impact identification on a sandwich plate from wave propagation responses , 2005 .
[10] Ivan Bartoli,et al. A 2.5D boundary element formulation for modeling damped waves in arbitrary cross-section waveguides and cavities , 2013, J. Comput. Phys..
[11] Tommy H.T. Chan,et al. Fiber Bragg grating sensors for structural health monitoring of Tsing Ma bridge : Background and experimental observation , 2006 .
[12] Jochen Moll,et al. Spectral element modelling of wave propagation in isotropic and anisotropic shell-structures including different types of damage , 2010 .
[13] Jochen Moll,et al. Efficient temperature compensation strategies for guided wave structural health monitoring. , 2010, Ultrasonics.
[14] Jean-Mathieu Mencik,et al. Model reduction and perturbation analysis of wave finite element formulations for computing the forced response of coupled elastic systems involving junctions with uncertain eigenfrequencies , 2011 .
[15] Fu-Kuo Chang,et al. Optimizing a spectral element for modeling PZT-induced Lamb wave propagation in thin plates , 2009 .
[16] L. Jacobs,et al. Evaluation of plasticity driven material damage using Lamb waves , 2007 .
[17] Géza Seriani,et al. Double-grid Chebyshev spectral elements for acoustic wave modeling , 2004 .
[18] H. Altenbach. Book Review: Jürgen Dankert und Helga Dankert, Technische Mechanik. Statik, Festigkeitslehre, Kinematik/Kinetik. , 2004 .
[19] Alexander Düster,et al. Non-standard bone simulation: interactive numerical analysis by computational steering , 2011, Comput. Vis. Sci..
[20] Claus-Peter Fritzen,et al. A modelling approach for virtual development of wave based SHM systems , 2011 .
[21] Mohamed Ichchou,et al. Wave propagation in mechanical waveguide with curved members using wave finite element solution , 2010 .
[22] Jakob S. Jensen. Space-time topology optimization for one-dimensional wave propagation , 2009 .
[23] Alexander Düster,et al. Book Review: Leszek Demkowicz, Computing with hp‐adaptive finite elements, Volume 1, One and two dimensional elliptic and Maxwell problems , 2007 .
[24] H. Tiersten. Linear Piezoelectric Plate Vibrations: Elements of the Linear Theory of Piezoelectricity and the Vibrations Piezoelectric Plates , 1969 .
[25] Alexander Düster,et al. Local enrichment of the finite cell method for problems with material interfaces , 2013 .
[26] Alessandro Reali,et al. Duality and unified analysis of discrete approximations in structural dynamics and wave propagation : Comparison of p-method finite elements with k-method NURBS , 2008 .
[27] Fu-Kuo Chang,et al. Adhesive interface layer effects in PZT-induced Lamb wave propagation , 2010 .
[28] Anthony J. Croxford,et al. Continuous baseline growth and monitoring for guided wave SHM , 2013 .
[29] Jean-Mathieu Mencik,et al. On the low- and mid-frequency forced response of elastic structures using wave finite elements with one-dimensional propagation , 2010 .
[30] Victor Giurgiutiu,et al. Lamb wave generation with piezoelectric wafer active sensors for structural health monitoring , 2003, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.
[31] Marek Krawczuk,et al. Modelling of wave propagation in composite plates using the time domain spectral element method , 2007 .
[32] Z. Yosibash,et al. THE p-VERSION OF THE FINITE ELEMENT METHOD IN INCREMENTAL ELASTO-PLASTIC ANALYSIS , 1993 .
[33] Ernst Rank,et al. The hp‐d‐adaptive finite cell method for geometrically nonlinear problems of solid mechanics , 2012 .
[34] K E Jackson,et al. Advanced waveform-based acoustic emission detection of matrix cracking in composites , 1995 .
[35] Ernst Rank,et al. FCMLab: A finite cell research toolbox for MATLAB , 2014, Adv. Eng. Softw..
[36] Ernst Rank,et al. Weakly enforced boundary conditions for the NURBS-based Finite Cell Method , 2012 .
[37] U Gabbert,et al. Simulation of Lamb wave reflections at plate edges using the semi-analytical finite element method. , 2012, Ultrasonics.
[38] Tadeusz Uhl,et al. Cellular automata for Lamb wave propagation modelling in smart structures , 2013 .
[39] Ulrich Gabbert,et al. Numerical simulation of Lamb wave propagation in metallic foam sandwich structures : a parametric study , 2013 .
[40] Zhongqing Su,et al. A built-in active sensor network for health monitoring of composite structures , 2006 .
[41] Ernst Rank,et al. The finite cell method for three-dimensional problems of solid mechanics , 2008 .
[42] Kurt Maute,et al. Design of phononic materials/structures for surface wave devices using topology optimization , 2007 .
[43] U. Gabbert,et al. Coupling of Analytical and Higher Order Finite Element Approaches for an Efficient Simulation of Ultrasonic Guided Waves , 2012 .
[44] J. Takatsubo,et al. Lamb wave method for quick inspection of impact-induced delamination in composite laminates , 2004 .
[45] T. Hughes,et al. Collocation, dissipation and [overshoot] for time integration schemes in structural dynamics , 1978 .
[46] L. Ye,et al. A damage identification technique for CF/EP composite laminates using distributed piezoelectric transducers , 2002 .
[47] Sven von Ende. Transient angeregte LAMB-Wellen in elastischen und viskoelastischen Platten - Berechnung und experimentelle Verifikation - , 2008 .
[48] P. Pinsky,et al. Complex wavenumber Fourier analysis of the p-version finite element method , 1994 .
[49] Ernst Rank,et al. Shell Finite Cell Method: A high order fictitious domain approach for thin-walled structures , 2011 .
[50] Zhengxiong Yang,et al. The Finite Cell Method for Geometry-Based Structural Simulation , 2011 .
[51] L. W.,et al. The Theory of Sound , 1898, Nature.
[52] Victor Giurgiutiu,et al. Predictive modeling of piezoelectric wafer active sensors interaction with high-frequency structural waves and vibration , 2012 .
[53] Yongseok Choi,et al. Simulation of ultrasonic waves in various types of elastic media using the mass spring lattice model , 2000 .
[54] M. Hinders,et al. Automatic multi-mode Lamb wave arrival time extraction for improved tomographic reconstruction , 2004 .
[55] James F. Doyle,et al. Wave Propagation in Structures , 1989 .
[56] Zhongqing Su,et al. A quantitative identification approach for delamination in laminated composite beams using digital damage fingerprints (DDFs) , 2006 .
[57] Samir Mustapha,et al. Concise analysis of wave propagation using the spectral element method and identification of delamination in CF/EP composite beams , 2010 .
[58] Géza Seriani,et al. 3-D large-scale wave propagation modeling by spectral element method on Cray T3E multiprocessor , 1998 .
[59] Christian Willberg. Development of a new isogeometric finite element and its application forLamb wave based structural health monitoring , 2013 .
[60] Marek Krawczuk,et al. Damage detection strategies based on propagation of guided elastic waves , 2012 .
[61] Ulrich Gabbert,et al. The finite and spectral cell methods for smart structure applications: transient analysis , 2015 .
[62] H. Lamb. On waves in an elastic plate , 1917 .
[63] Wieslaw Ostachowicz,et al. Wave propagation numerical models in damage detection based on the time domain spectral element method , 2010 .
[64] Tadeusz Uhl,et al. Lamb wave propagation modelling and simulation using parallel processing architecture and graphical cards , 2012 .
[65] Ernst Rank,et al. The p‐version of the finite element method for three‐dimensional curved thin walled structures , 2001 .
[66] P. Basu,et al. Analysis of cracked aluminum plates with one-sided patch repair using p-convergent layered model , 2010 .
[67] O. Zienkiewicz,et al. A note on mass lumping and related processes in the finite element method , 1976 .
[68] Ettore Barbieri,et al. Impact localization in composite structures of arbitrary cross section , 2012 .
[69] Krishnan Balasubramaniam,et al. Algorithm for Health Monitoring of Anisotropic Plates Using Flexible Ultrasonic Patches , 2007 .
[70] Nicolò Speciale,et al. A passive monitoring technique based on dispersion compensation to locate impacts in plate-like structures , 2011 .
[71] A. Patera. A spectral element method for fluid dynamics: Laminar flow in a channel expansion , 1984 .
[72] Yi Lu,et al. Damage detection using piezoelectric transducers and the Lamb wave approach: I. System analysis , 2008 .
[73] Ernst Rank,et al. The Finite Cell Method for linear thermoelasticity , 2012, Comput. Math. Appl..
[74] S. Pavlopoulou,et al. On Structural Health Monitoring of Aircraft Adhesively Bonded Repairs , 2013 .
[75] Tribikram Kundu,et al. Mode-selective excitation and detection of ultrasonic guided waves for delamination detection in laminated aluminum plates , 2011, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.
[76] J Homer,et al. A computer simulation study of imaging flexural inhomogeneities using plate-wave diffraction tomography. , 2008, Ultrasonics.
[77] Ulrich Heisserer,et al. High-order finite elements for material and geometric nonlinear finite strain problems , 2008 .
[78] S. Duczek,et al. Simulation of Lamb waves using the spectral cell method , 2013, Smart Structures.
[79] Jens Markus Melenk,et al. Fully discrete hp-finite elements: fast quadrature , 2001 .
[80] W. J. Gordon,et al. Transfinite element methods: Blending-function interpolation over arbitrary curved element domains , 1973 .
[81] Francesco Aymerich,et al. Impact damage detection in composite laminates using nonlinear acoustics , 2010 .
[82] Christian Willberg,et al. Development of a three-dimensional piezoelectric isogeometric finite element for smart structure applications , 2012, Acta Mechanica.
[83] A. Houmat,et al. A SECTOR FOURIER p -ELEMENT APPLIED TO FREE VIBRATION ANALYSIS OF SECTORIAL PLATES , 2001 .
[84] Ajit K. Mal,et al. On the accuracy of approximate plate theories for wave field calculations in composite laminates , 1995 .
[85] O. C. Zienkiewicz,et al. Curved, isoparametric, “quadrilateral” elements for finite element analysis , 1968 .
[86] W. J. Gordon,et al. Transfinite mappings and their application to grid generation , 1982 .
[87] Ulrich Gabbert,et al. Numerical simulation of the Lamb wave propagation in honeycomb sandwich panels: A parametric study , 2013 .
[88] Vivar Perez,et al. Analytical and Spectral Methods for the Simulation of Elastic Waves in Thin Plates , 2012 .
[89] Nathan M. Newmark,et al. A Method of Computation for Structural Dynamics , 1959 .
[90] W. Staszewski,et al. Nonlinear acoustics with low-profile piezoceramic excitation for crack detection in metallic structures , 2006 .
[91] Daniel J. Inman,et al. Damage Prognosis For Aerospace, Civil and Mechanical Systems Preface , 2005 .
[92] Laurence J. Jacobs,et al. Modeling elastic wave propagation in waveguides with the finite element method , 1999 .
[93] U. Gabbert,et al. Comparison of different higher order finite element schemes for the simulation of Lamb waves , 2012 .
[94] Tobias H. Brockmann,et al. Theory of Adaptive Fiber Composites: From Piezoelectric Material Behavior to Dynamics of Rotating Structures , 2009 .
[95] M. Ainsworth. Essential boundary conditions and multi-point constraints in finite element analysis , 2001 .
[96] Antonio Huerta,et al. Imposing essential boundary conditions in mesh-free methods , 2004 .
[97] Ernst Rank,et al. The finite cell method for bone simulations: verification and validation , 2012, Biomechanics and modeling in mechanobiology.
[98] A. Leung,et al. HEXAHEDRAL FOURIER p-ELEMENTS FOR VIBRATION OF PRISMATIC SOLIDS , 2004 .
[99] Vera Nübel,et al. Die adaptive rp-Methode für elastoplastische Probleme , 2005 .
[100] Wolfgang Hillger,et al. Structural Heath Monitoring using Lamb waves and visualization of their propagation in composites , 2007 .
[101] Thomas Monnier,et al. Lamb Waves-based Impact Damage Monitoring of a Stiffened Aircraft Panel using Piezoelectric Transducers , 2006 .
[102] Prodyot K. Basu,et al. Materially and geometrically nonlinear analysis of laminated anisotropic plates by p-version of FEM , 2003 .
[103] K. C. Park,et al. A variable-step central difference method for structural dynamics analysis — part 1. Theoretical aspects , 1980 .
[104] Nam-Ho Kim. Introduction to Nonlinear Finite Element Analysis , 2014 .
[105] A. Safari,et al. Piezoelectric composites for sensor and actuator applications , 2005, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.
[106] Ulrich Gabbert,et al. Wave Propagation Analysis using High-Order Finite Element Methods: Spurious Oscillations excited by Internal Element Eigenfrequencies , 2014 .
[107] René Matzen. Topology Optimization for Transient Wave Propagation Problems , 2011 .
[108] Emmanuel Lafond,et al. Evidence of surface acoustic wave band gaps in the phononic crystals created on thin plates , 2006 .
[109] Christian Boller,et al. Ways and options for aircraft structural health management , 2001 .
[110] Wieslaw Ostachowicz,et al. 3D time-domain spectral elements for stress waves modelling , 2009 .
[111] Bc Lee,et al. Lamb wave propagation modelling for damage detection: I. Two-dimensional analysis , 2007 .
[112] Hwanjeong Cho,et al. Structural health monitoring of fatigue crack growth in plate structures with ultrasonic guided waves , 2012 .
[113] S. P. Oliveira,et al. DFT MODAL ANALYSIS OF SPECTRAL ELEMENT METHODS FOR ACOUSTIC WAVE PROPAGATION , 2008 .
[114] Joseph L. Rose,et al. Active health monitoring of an aircraft wing with embedded piezoelectric sensor/actuator network: I. Defect detection, localization and growth monitoring , 2007 .
[115] Ivan Bartoli,et al. Modeling guided wave propagation with application to the long-range defect detection in railroad tracks , 2005 .
[116] I. Babuska,et al. Dispersion Analysis and Error Estimation of Galerkin Finite Element Methods for the Numerical Computation of Waves , 1994 .
[117] C. Peskin. The Fluid Dynamics of Heart Valves: Experimental, Theoretical, and Computational Methods , 1982 .
[118] Peter Hansbo,et al. Nitsche's method for interface problems in computa‐tional mechanics , 2005 .
[119] N. Köckler. Finite-Elemente-Methoden , 2012 .
[120] E. Yablonovitch. Photonic crystals: semiconductors of light. , 2001, Scientific American.
[121] Ashley F. Emery,et al. Accuracy in modeling the acoustic wave equation with Chebyshev spectral finite elements , 1997 .
[122] Ernst Rank,et al. The p-version of the finite element method compared to an adaptive h-version for the deformation theory of plasticity , 2001 .
[123] H. Broeker,et al. Integration von geometrischer Modellierung und Berechnung nach der p-Version der FEM , 1999 .
[124] J. Ro,et al. Finite Element Modeling of MFC/AFC Actuators and Performance of MFC , 2001 .
[125] Fengwen Wang. Systematic Design of Slow Light Waveguides , 2012 .
[126] J. Moll. Strukturdiagnose mit Ultraschallwellen durch Verwendung von piezoelektrischen Sensoren und Aktoren , 2011 .
[127] Ayech Benjeddou,et al. Advances in piezoelectric finite element modeling of adaptive structural elements: a survey , 2000 .
[128] H. F. Tiersten,et al. Nonlinear electroelastic equations cubic in the small field variables , 1975 .
[129] E. Rank,et al. Fixed‐grid fluid–structure interaction in two dimensions based on a partitioned Lattice Boltzmann and p‐FEM approach , 2009 .
[130] B. James,et al. Wave propagation in elastic solids , 1975 .
[131] G. Manson,et al. Non-destructive inspection of adhesively bonded patch repairs using Lamb waves , 2012 .
[132] S. Orszag. Spectral methods for problems in complex geometries , 1980 .
[133] Yuri Bazilevs,et al. Isogeometric fluid–structure interaction analysis with emphasis on non-matching discretizations, and with application to wind turbines , 2012 .
[134] Howard E. Hinnant. A fast method of numerical quadrature for p-version finite element matrices , 1993 .
[135] Constantinos Soutis,et al. Cure monitoring through time–frequency analysis of guided ultrasonic waves , 2012 .
[136] M. Jensen,et al. HIGH CONVERGENCE ORDER FINITE ELEMENTS WITH LUMPED MASS MATRIX , 1996 .
[137] Zohar Yosibash,et al. p-FEMs in biomechanics: Bones and arteries , 2012 .
[138] J. Moll,et al. Guided waves for autonomous online identification of structural defects under ambient temperature variations , 2012 .
[139] Alexander Düster,et al. Numerical analysis of Lamb waves using the finite and spectral cell methods , 2014 .
[140] Dominik Schillinger,et al. The Finite Cell Method: A Review in the Context of Higher-Order Structural Analysis of CAD and Image-Based Geometric Models , 2015 .
[141] Y. Bazilevs,et al. Weakly enforced essential boundary conditions for NURBS‐embedded and trimmed NURBS geometries on the basis of the finite cell method , 2013 .
[142] Salvatore Salamone,et al. Numerical prediction and experimental verification of temperature effect on plate waves generated and received by piezoceramic sensors , 2012 .
[143] Tadeusz Uhl,et al. GPU-based local interaction simulation approach for simplified temperature effect modelling in Lamb wave propagation used for damage detection , 2013 .
[144] Kuldeep Lonkar,et al. Modeling of piezo-induced ultrasonic wave propagation in composite structures using layered solid spectral element , 2014 .
[145] M. Kushwaha. Stop-bands for periodic metallic rods: Sculptures that can filter the noise , 1997 .
[146] Wieslaw Ostachowicz,et al. Damage detection in composite plates with embedded PZT transducers , 2008 .
[147] Constantinos Soutis,et al. Analysis of adhesively bonded repairs in composites: Damage detection and prognosis , 2013 .
[148] K. Schubert,et al. On the influence of moisture absorption on Lamb wave propagation and measurements in viscoelastic CFRP using surface applied piezoelectric sensors , 2012 .
[149] Ulrich Gabbert,et al. Damage Localization in Plates Using Mode Conversion Characteristics of Ultrasonic Guided Waves , 2013 .
[150] Ranjan Ganguli,et al. Free vibration analysis of rotating tapered blades using Fourier-p superelement , 2007 .
[151] Douglas N. Arnold,et al. Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems , 2001, SIAM J. Numer. Anal..
[152] Falko Seeger. Simulation und Optimierung adaptiver Schalenstrukturen , 2003 .
[153] Y. Bazilevs,et al. Small and large deformation analysis with the p- and B-spline versions of the Finite Cell Method , 2012 .
[154] J. Nitsche. Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind , 1971 .
[155] Jian-chun Cheng,et al. Propagation of Lamb waves in one-dimensional quasiperiodic composite thin plates: A split of phonon band gap , 2007 .
[156] W. Staszewski. WAVELET BASED COMPRESSION AND FEATURE SELECTION FOR VIBRATION ANALYSIS , 1998 .
[157] R. Courant,et al. Über die partiellen Differenzengleichungen der mathematischen Physik , 1928 .
[158] Victor Giurgiutiu,et al. Active sensors for health monitoring of aging aerospace structures , 2000, Smart Structures.
[159] Maciej Paszyński,et al. Computing with hp-ADAPTIVE FINITE ELEMENTS: Volume II Frontiers: Three Dimensional Elliptic and Maxwell Problems with Applications , 2007 .
[160] W. Ostachowicz,et al. Guided Waves in Structures for SHM: The Time - domain Spectral Element Method , 2012 .
[161] Elisabetta Manconi,et al. On the effect of damping on dispersion curves in plates , 2013 .
[162] Huidong Gao,et al. Ultrasonic guided wave mechanics for composite material structural health monitoring , 2007 .
[163] P. Cawley,et al. The low-frequency reflection and scattering of the S0 Lamb mode from a circular through-thickness hole in a plate: Finite Element, analytical and experimental studies. , 2002, The Journal of the Acoustical Society of America.
[164] Constantinos Soutis,et al. Structural health monitoring techniques for aircraft composite structures , 2010 .
[165] T. Kundu,et al. A new guided wave–based technique for corrosion monitoring in reinforced concrete , 2013 .
[166] J. Michaels,et al. A methodology for structural health monitoring with diffuse ultrasonic waves in the presence of temperature variations. , 2005, Ultrasonics.
[167] D. Komatitsch,et al. Spectral-element simulations of global seismic wave propagation—I. Validation , 2002 .
[168] Jan Drewes Achenbach,et al. Detection of thermal fatigue in composites by second harmonic Lamb waves , 2012 .
[169] I. Babuska,et al. Introduction to Finite Element Analysis: Formulation, Verification and Validation , 2011 .
[170] Ulrich Gabbert,et al. On Three-Dimensional Layered Piezoelectric Shell Elements for Design Simulation of Adaptive Structures , 1998 .
[171] B. S. Wong,et al. Experimental evaluation of delaminations in composite plates by the use of Lamb waves , 1995 .
[172] Lin Ye,et al. A fast damage locating approach using digital damage fingerprints extracted from Lamb wave signals , 2005 .
[173] W. J. Gordon,et al. Construction of curvilinear co-ordinate systems and applications to mesh generation , 1973 .
[174] Charles R. Farrar,et al. Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review , 1996 .
[175] W. Staszewski,et al. Health monitoring of aerospace composite structures – Active and passive approach , 2009 .
[176] I. Babuska,et al. Reliability Of Finite Element Methods For TheNumerical Computation Of Waves , 1970 .
[177] B. Simeon,et al. Isogeometric Reissner–Mindlin shell analysis with exactly calculated director vectors , 2013 .
[178] Yi Lu,et al. Damage detection using piezoelectric transducers and the Lamb wave approach: II. Robust and quantitative decision making , 2008 .
[179] A. F. Emery,et al. The solution of elastostatic and elastodynamic problems with Chebyshev spectral finite elements , 2000 .
[180] Bin Zhu,et al. p-Version finite elements and applications in structural impact and damage detection , 2005 .
[181] E. Rank,et al. The FCM compared to the h-version FEM for elasto-plastic problems , 2014 .
[182] Ernst Rank,et al. PERFORMANCE OF DIFFERENT INTEGRATION SCHEMES IN FACING DISCONTINUITIES IN THE FINITE CELL METHOD , 2013 .
[183] D. Inman,et al. Thermal sensitivity of Lamb waves for structural health monitoring applications. , 2013, Ultrasonics.
[184] Ashley F. Emery,et al. An evaluation of the cost effectiveness of Chebyshev spectral and p-finite element solutions to the scalar wave equation , 1999 .
[185] John A. Evans,et al. An Isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces , 2012 .
[186] Christian Becker. Finite Elemente Methoden zur räumlichen Diskretisierung von Mehrfeldproblemen der Strukturmechanik unter Berücksichtigung diskreter Risse , 2007 .
[187] Guang Meng,et al. Modeling of wave propagation in plate structures using three-dimensional spectral element method for damage detection , 2009 .
[188] A. Preumont,et al. Finite element modelling of piezoelectric active structures , 2001 .
[189] Carlos E. S. Cesnik,et al. Review of guided-wave structural health monitoring , 2007 .
[190] Martin Veidt,et al. A Lamb-wave-based technique for damage detection in composite laminates , 2009 .
[191] D. Komatitsch,et al. The spectral element method: An efficient tool to simulate the seismic response of 2D and 3D geological structures , 1998, Bulletin of the Seismological Society of America.
[192] Joseph L. Rose,et al. A comparison of embedded sensor Lamb wave ultrasonic tomography approaches for material loss detection , 2006 .
[193] Guang Meng,et al. Wave Propagation Analysis in Composite Laminates Containing a Delamination Using a Three-Dimensional Spectral Element Method , 2012 .
[194] Géza Seriani,et al. Spectral element method for acoustic wave simulation in heterogeneous media , 1994 .
[195] Ernst Rank,et al. The finite cell method for the J2 flow theory of plasticity , 2013 .
[196] J. Groen. Topology optimization using the Finite Cell Method , 2015 .
[197] Jean-François Deü,et al. A two-dimensional closed-form solution for the free-vibrations analysis of piezoelectric sandwich plates , 2002 .
[198] Barna A. Szabó,et al. Quasi-regional mapping for the p-version of the finite element method , 1997 .
[199] Thomas J. R. Hughes,et al. Isogeometric Analysis: Toward Integration of CAD and FEA , 2009 .
[200] T. Hughes,et al. Finite element method for piezoelectric vibration , 1970 .
[201] W. J. Gordon. Blending-Function Methods of Bivariate and Multivariate Interpolation and Approximation , 1971 .
[202] Rolf Lammering. Observation of Piezoelectrically Induced Lamb Wave Propagation in Thin Plates by Use of Speckle Interferometry , 2010 .
[203] Ernst Rank,et al. Numerical homogenization of heterogeneous and cellular materials utilizing the finite cell method , 2012, Computational Mechanics.
[204] M. Christon. The influence of the mass matrix on the dispersive nature of the semi-discrete, second-order wave equation , 1999 .
[205] Srinivasan Gopalakrishnan,et al. Wave propagation analysis in anisotropic and inhomogeneous uncracked and cracked structures using pseudospectral finite element method , 2006 .
[206] Ulrich Gabbert,et al. Anisotropic hierarchic finite elements for the simulation of piezoelectric smart structures , 2013 .
[207] Noncontact determination of elastic moduli by two-dimensional Fourier transformation and laser ultrasonic technique , 2004, cond-mat/0406609.
[208] A. Houmat,et al. HIERARCHICAL FINITE ELEMENT ANALYSIS OF THE VIBRATION OF MEMBRANES , 1997 .
[209] J. Strutt. Scientific Papers: On the Maintenance of Vibrations by Forces of Double Frequency, and on the Propagation of Waves through a Medium endowed with a Periodic Structure , 2009 .
[210] B. Mace,et al. Modelling wave propagation in two-dimensional structures using finite element analysis , 2008 .
[211] W. Keats Wilkie,et al. An overview of composite actuators with piezoceramic fibers , 2002 .
[212] I Bartoli,et al. A coupled SAFE-2.5D BEM approach for the dispersion analysis of damped leaky guided waves in embedded waveguides of arbitrary cross-section. , 2013, Ultrasonics.
[213] J. Rose. Ultrasonic Waves in Solid Media , 1999 .
[214] A. Houmat. AN ALTERNATIVE HIERARCHICAL FINITE ELEMENT FORMULATION APPLIED TO PLATE VIBRATIONS , 1997 .
[215] Marek Krawczuk,et al. Spectral Finite Element Method , 2012 .
[216] Cara A. C. Leckey,et al. Characterization of impact damage in composite laminates using guided wavefield imaging and local wavenumber domain analysis. , 2013, Ultrasonics.
[217] Chiman Kwan,et al. Active health monitoring of an aircraft wing with an embedded piezoelectric sensor/actuator network: II. Wireless approaches , 2007 .
[218] Thomas J. R. Hughes,et al. Weak imposition of Dirichlet boundary conditions in fluid mechanics , 2007 .
[219] D. Tiba,et al. An Embedding of Domains Approach in Free Boundary Problems andOptimal Design , 1995 .
[220] B. Djafari-Rouhani,et al. Surface electromagnetic waves in Fibonacci superlattices: Theoretical and experimental results , 2006 .
[221] Christian Willberg,et al. Experimental and Theoretical Analysis of Lamb Wave Generation by Piezoceramic Actuators for Structural Health Monitoring , 2012 .
[222] Ernst Rank,et al. Geometric modeling, isogeometric analysis and the finite cell method , 2012 .
[223] M. Hussein,et al. Wave dispersion under finite deformation , 2012, 1210.6607.
[224] Antonio Arnau,et al. Fundamentals on Piezoelectricity , 2004 .
[225] W. J. Merz. Piezoelectric Ceramics , 1972, Nature.
[226] M. G. Milsted,et al. Use of trigonometric terms in the finite element method with application to vibrating membranes , 1974 .
[227] Mark Ainsworth,et al. Optimally Blended Spectral-Finite Element Scheme for Wave Propagation and NonStandard Reduced Integration , 2010, SIAM J. Numer. Anal..
[228] Z. Su,et al. Identification of Damage Using Lamb Waves , 2009 .
[229] Dragan Marinkovic. A new finite composite shell element for piezoelectric active structures , 2007 .
[230] Li Yongqiang,et al. Free vibration analysis of circular and annular sectorial thin plates using curve strip Fourier p-element , 2007 .
[231] Claus-Peter Fritzen,et al. Simulation of wave propagation in damped composite structures with piezoelectric coupling , 2011 .
[232] Ernst Rank,et al. An efficient integration technique for the voxel‐based finite cell method , 2012 .
[233] Chun H. Wang,et al. Computerized time-reversal method for structural health monitoring , 2003, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.
[234] Alexander Düster,et al. Finite and spectral cell method for wave propagation in heterogeneous materials , 2014, Computational Mechanics.
[235] Jean Lefèvre,et al. Finite-Elemente-Simulation adaptiver Leichtbaustrukturen zur Untersuchung der Schwingungs- und Schallreduktion , 2006 .
[236] D. Komatitsch,et al. Spectral-element simulations of global seismic wave propagation: II. Three-dimensional models, oceans, rotation and self-gravitation , 2002 .
[237] T. Hughes,et al. Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement , 2005 .
[238] Ulrich Gabbert,et al. Numerical simulation of the guided Lamb wave propagation in particle reinforced composites , 2012 .
[239] W. Ostachowicz,et al. Spectral Finite Element Method for Propagation of Guided Elastic Waves in Wind Turbine Blades for SHM Purposes , 2012 .
[240] Lin Ye,et al. Guided Lamb waves for identification of damage in composite structures: A review , 2006 .
[241] A. Żak,et al. A novel formulation of a spectral plate element for wave propagation in isotropic structures , 2009 .
[242] Laurence J. Jacobs,et al. A nonlinear-guided wave technique for evaluating plasticity-driven material damage in a metal plate , 2009 .
[243] E. Rank,et al. hp‐Version finite elements for geometrically non‐linear problems , 1995 .
[244] K. C. Park,et al. A variable-step central difference method for structural dynamics analysis- part 2. Implementation and performance evaluation , 1980 .
[245] Sungwon Ha. Modeling Lamb wave propagation induced by adhesively bonded PZTs on thin plates , 2009 .
[246] L. Ye,et al. Characteristics of elastic wave propagation in thick beams - when guided waves prevail? , 2011 .
[247] Laurence J. Jacobs,et al. Evaluation of fatigue damage using nonlinear guided waves , 2009 .
[248] Mark M. Derriso,et al. The effect of actuator bending on Lamb wave displacement fields generated by a piezoelectric patch , 2008 .
[249] Christian Boller,et al. Health Monitoring of Aerospace Structures , 2003 .
[250] Dominik Schillinger,et al. The p- and B-spline versions of the geometrically nonlinear finite cell method and hierarchical refinement strategies for adaptive isogeometric and embedded domain analysis , 2012 .
[251] Chunhui Yang,et al. Assessment of delamination in composite beams using shear horizontal (SH) wave mode , 2007 .
[252] I. Papaioannou,et al. Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion , 2014 .
[253] Raytcho D. Lazarov,et al. Higher-order finite element methods , 2005, Math. Comput..
[254] L. Demkowicz. One and two dimensional elliptic and Maxwell problems , 2006 .
[255] Min Zhao,et al. Band gaps of Lamb waves propagating in one-dimensional periodic and nesting Fibonacci superlattices thin plates , 2013 .
[256] Massimo Ruzzene,et al. Computational Techniques for Structural Health Monitoring , 2011 .
[257] Bruno Morvan,et al. Interaction of Lamb waves on bonded composite plates with defects , 2007 .
[258] Géza Seriani,et al. WAVE PROPAGATION MODELING IN HIGHLY HETEROGENEOUS MEDIA BY A POLY-GRID CHEBYSHEV SPECTRAL ELEMENT METHOD , 2012 .
[259] J. Dolbow,et al. Imposing Dirichlet boundary conditions with Nitsche's method and spline‐based finite elements , 2010 .
[260] A. Duester,et al. Adaptive Vector Integration as an Efficient Quadrature Scheme for p-Version Finite Element Matrices , 2001 .
[261] Fu-Kuo Chang,et al. Encyclopedia of structural health monitoring , 2009 .
[262] S. Pavlopoulou,et al. Structural Health Monitoring of Composite Scarf Repairs with Guided Waves , 2012 .
[263] Christian Willberg,et al. Development, Validation and Comparison of Higher Order Finite Element Approaches to Compute the Propagation of Lamb Waves Efficiently , 2012 .
[264] Pawel Kudela,et al. Wave Propagation Modelling in Composite Plates , 2007 .
[265] Jakob Søndergaard Jensen,et al. Waves and vibrations in inhomogeneous structures: bandgaps and optimal designsbåndgab og optimale design , 2011 .
[266] Oliver Nelles,et al. Multi-site damage localization in anisotropic plate-like structures using an active guided wave structural health monitoring system , 2010 .
[267] Shaul Katzir,et al. The beginnings of piezoelectricity , 2006 .
[268] U. Gabbert,et al. Non-reflecting boundary condition for Lamb wave propagation problems in honeycomb and CFRP plates using dashpot elements , 2013 .