Erratum to: Electromagnetic modeling of carbon-fiber reinforced composite materials using the wave digital concept

This paper deals with the modeling of the carbon fiber composite thin plate exposed to an external electromagnetic field. The underlying anisotropic partial differential equations are solved using the wave digital concept. After an appropriate change of the dependent variables and a coordinate transformation, a multidimensional passive reference circuit is derived along with its wave digital implementation. Numerical results, predicted using the multidimensional wave digital filtering approach, are compared to those obtained using the finite element method. Some stability related aspects are discussed. Besides, an electrostatic application of the presented wave digital model is outlined.

[1]  J A Plumer,et al.  Aircraft Lightning Protection Handbook , 1989 .

[2]  L. Chemartin,et al.  Lightning Hazards to Aircraft and Launchers Direct Effects of Lightning on Aircraft Structure : Analysis of the Thermal , Electrical and Mechanical Constraints , 2013 .

[3]  Alfred Fettweis,et al.  Transformation approach to numerically integrating PDEs by means of WDF principles , 1991, Multidimens. Syst. Signal Process..

[4]  V. Belevitch,et al.  Classical network theory , 1968 .

[5]  C.-H. Tseng,et al.  Numerical Stability Verification of a Two-Dimensional Time-Dependent Nonlinear Shallow Water System Using Multidimensional Wave Digital Filtering Network , 2013, Circuits Syst. Signal Process..

[6]  A. Fettweis.  Wave digital filters: Theory and practice , 1986, Proceedings of the IEEE.

[7]  Alfred Fettweis,et al.  A new look at 2D shallow water equations of fluid dynamics via multidimensional Kirchhoff paradigm , 2015, Multidimens. Syst. Signal Process..

[8]  Alfred Fettweis,et al.  Robust Numerical Integration Using Wave-Digital Concepts , 2006, Multidimens. Syst. Signal Process..

[9]  W. F. Weldon,et al.  Eddy currents in anisotropic composites applied to pulsed machinery , 1996 .

[10]  R. Holland,et al.  Finite-difference time-domain (FDTD) analysis of magnetic diffusion , 1994 .

[11]  I. Balberg,et al.  Computer study of the percolation threshold in a two-dimensional anisotropic system of conducting sticks , 1983 .

[12]  J. Kuffel,et al.  High Voltage Engineering: Fundamentals , 1984 .

[13]  Harold A. Sabbagh,et al.  Electromagnetic interactions with an anisotropic slab , 1988 .

[14]  C. J. Hardwick,et al.  Lightning Hazards to Aircraft and Launchers The Interaction of Lightning with Aircraft and the Challenges of Lightning Testing , 2012 .

[15]  Alfred Fettweis,et al.  Multidimensional wave-digital principles: from filtering to numerical integration , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.

[16]  Stefan Bilbao,et al.  Wave and Scattering Methods for Numerical Simulation , 2004 .

[17]  J. Fouladgar,et al.  Shielding and Reflecting Effectiveness of Carbon Fiber Reinforced Polymer (CFRP) composites , 2013, 2013 International Symposium on Electromagnetic Theory.

[18]  M. Feliachi,et al.  3-D Eddy Current Computation in Carbon-Fiber Reinforced Composites , 2009, IEEE Transactions on Magnetics.

[19]  J. A. Plumer,et al.  Lightning Protection of Aircraft , 1977 .

[20]  J. Fouladgar,et al.  3-D Simulation of induction heating of anisotropic composite materials , 2005, IEEE Transactions on Magnetics.

[21]  C. Tseng.  An optimal modeling of multidimensional wave digital filtering network for free vibration analysis of symmetrically laminated composite FSDT plates , 2015 .

[22]  Ursula van Rienen,et al.  Numerical Methods in Computational Electrodynamics - Linear Systems in Practical Applications , 2001, Lecture Notes in Computational Science and Engineering.

[23]  B. Ramdane,et al.  Interaction Between Electromagnetic Field and CFRP Materials: A New Multiscale Homogenization Approach , 2010, IEEE Transactions on Magnetics.

[24]  Mouloud Feliachi,et al.  Electromagnetic characterization of the CFRPs anisotropic conductivity: modeling and measurements , 2011 .

[25]  M. S. Sarto,et al.  Analyzing carbon-fiber composite materials with equivalent-Layer models , 2005, IEEE Transactions on Electromagnetic Compatibility.

[26]  O. Heinisch,et al.  Pearce, S. C.: Biological Statistics, an Introduction. Mc‐Graw Hill Book Company, New York, London 1965. XIII + 212 S., Preis $ 9,50 , 1967 .

[27]  Alfred Fettweis,et al.  Multidimensional causality and passivity of linear and nonlinear systems arising from physics , 2011, Multidimens. Syst. Signal Process..