Higher order finite elements and the fictitious domain concept for wave propagation analysis

XXIII Kurzzusammenfassung XXIV

[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 .