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Relevant bibliographies by topics / Spectral element modelling

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Journal articles

Academic literature on the topic 'Spectral element modelling'

Author: Grafiati

Published: 25 May 2024

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Journal articles on the topic "Spectral element modelling"

1

Seriani, G. "3-D spectral element-by-element wave modelling on Cray T3E." Physics and Chemistry of the Earth, Part A: Solid Earth and Geodesy 24, no. 3 (1999): 241–45. http://dx.doi.org/10.1016/s1464-1895(99)00025-3.

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2

Griffith, M. D., K. Hourigan, and M. C. Thompson. "Modelling blockage effects using a spectral element method." ANZIAM Journal 46 (April 21, 2005): 167. http://dx.doi.org/10.21914/anziamj.v46i0.954.

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3

Fiborek, Piotr, Paweł H. Malinowski, Paweł Kudela, Tomasz Wandowski, and Wiesław M. Ostachowicz. "Time-domain spectral element method for modelling of the electromechanical impedance of disbonded composites." Journal of Intelligent Material Systems and Structures 29, no. 16 (2018): 3214–21. http://dx.doi.org/10.1177/1045389x18758193.

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The research focuses on the electromechanical impedance method. The electromechanical impedance method can be treated as non-destructive testing or structural health monitoring approach. It is important to have a reliable tool that allows verifying the integrity of the investigated objects. The electromechanical impedance method was applied here to assess the carbon fibre–reinforced polymer samples. The single and adhesively bonded samples were investigated. In the reported research, the electromechanical impedance spectra up to 5 MHz were considered. The investigation comprised of modelling using spectral element method and experimental measurements. Numerical and experimental spectra were analysed. Differences in spectra caused by differences in considered samples were observed.

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4

Grabowska, Joanna, and Marek Krawczuk. "Identification of Discontinuities in Composite Rods and Beams Based on Lamb Wave Propagation." Key Engineering Materials 293-294 (September 2005): 517–24. http://dx.doi.org/10.4028/www.scientific.net/kem.293-294.517.

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The article presents a method of damage identification in composite rods and beams based on the analysis of changes in Lamb wave propagation. For modelling of the problem the spectral element method is used. Spectral elements of rod and beam suitable for modelling the composites are employed. In the presented paper the following discontinuities are analysed: the fatigue open and not propagating crack, changes in the cross-section area, material discontinuities, various fibres volume and angle. The influence of discontinuities on the Lamb wave propagation processes is analysed.

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5

Kudela, Pawel, and Wiesław M. Ostachowicz. "Wave Propagation Modelling in Composite Plates." Applied Mechanics and Materials 9 (October 2007): 89–104. http://dx.doi.org/10.4028/www.scientific.net/amm.9.89.

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The paper presents results of numerical simulation for transverse elastic waves corresponding to A0 mode of Lamb waves propagating in a composite plate. This problem is solved by using the Spectral Finite Element Method. Spectral plate elements with 36 nodes defined at Gauss-Lobatto-Legendre points are used. As a consequence of selecting Lagrange polynomials discrete orthogonality guaranteed leading to a diagonal mass matrix. This results in a crucial reduction of numerical operations required for a chosen time integration scheme. Numerical calculations have been carried out for various orientations of reinforcing fibres within the plate as well as for various fibre volumes fractions. The paper shows that the velocities of transverse elastic waves in composite materials are functions of the fibre orientation and the fibre volume fraction.

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6

Schulte, Rolf T., Ke Jia Xing, and Claus Peter Fritzen. "Spectral Element Modelling of Wave Propagation and Impedance Based SHM Systems." Key Engineering Materials 413-414 (June 2009): 683–90. http://dx.doi.org/10.4028/www.scientific.net/kem.413-414.683.

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In recent years many SHM approaches based on elastic waves that are generated and sensed by surface-bonded piezoelectric patches have been developed. Some of those utilize wave propagation phenomena; others use changes in the electromechanical impedance to detect structural damage. The capability of most approaches strongly depends on adequate choice of SHM system parameters like excitation signals and actuator/sensor types and positions. For this reason there is a growing interest in efficient and accurate simulation tools to shorten time and cost of the necessary tedious pretests. To detect small damage generally high frequency excitation signals have to be used. Because of this a very dense finite element mesh is required for an accurate simulation. As a consequence a conventional finite element simulation becomes computationally inefficient. A new approach that seems to be more promising is the time domain spectral element method. This contribution presents the theoretical background and some results of numerical calculations of the propagation of waves. The simulation is performed using the spectral element method (SEM), which leads to a diagonal mass matrix. Besides a significant saving of memory this leads to a crucial reduction of complexity of the time integration algorithm for the wave propagation calculation. A new approach to simulate the E/M impedance using time domain spectral elements is shown. An example demonstrates a good correlation of simulation and measurement data, so that the proposed simulation methodology seems to be a promising tool to make impedance based SHM systems more efficient, especially regarding the necessary parameter studies.

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7

von Winckel, G., S. Krishna, and E. A. Coutsias. "Spectral element modeling of semiconductor heterostructures." Mathematical and Computer Modelling 43, no. 5-6 (2006): 582–91. http://dx.doi.org/10.1016/j.mcm.2005.05.028.

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8

Kirby, Robert M., and Spencer J. Sherwin. "Stabilisation of spectral/hp element methods through spectral vanishing viscosity: Application to fluid mechanics modelling." Computer Methods in Applied Mechanics and Engineering 195, no. 23-24 (2006): 3128–44. http://dx.doi.org/10.1016/j.cma.2004.09.019.

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9

Żak, A., and M. Krawczuk. "Assessment of rod behaviour theories used in spectral finite element modelling." Journal of Sound and Vibration 329, no. 11 (2010): 2099–113. http://dx.doi.org/10.1016/j.jsv.2009.12.019.

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10

Eskilsson, C., and S. J. Sherwin. "Discontinuous Galerkin Spectral/hp Element Modelling of Dispersive Shallow Water Systems." Journal of Scientific Computing 22-23, no. 1-3 (2005): 269–88. http://dx.doi.org/10.1007/s10915-004-4140-x.

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