Abstract
Wave propagation in composite materials with discrete changes in properties has been extensively studied and is well understood. In contrast, wave propagation in composites with smooth continuous periodic stiffness variations has only begun to be studied [1]. Use of direct analysis techniques for wave propagation in a composite material with varying stiffness has lead to mathematical contradictions and has indicated the need for a different approach [2]. The present study investigated wave propagation in a composite with smooth continuous periodic stiffness variations using perturbation techniques and a model simulation with a refined finite difference method.
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References
J. S. McIntyre, C. W. Bert and R. A. Kline, in Review of Progress in Quantitative Nondestructive Evaluation, ed. by D. O. Thompson and W. E. Chimenti (Plenum, 1995) Vol. 14B p.1311.
R. A. Kline, Nondestructive Characterization of Composite Media (Technomic, Lancaster, 1992).
A. H. Nayfeh, Introduction to Perturbation Techniques, (John Wiley and Sons, New York, 1981).
D. A. Anderson, J. C. Tannehill, R. H. Pletcher, Computational Fluid Mechanics and Heat Transfer (Hemisphere, New York, 1984).
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© 1996 Plenum Press, New York
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McIntyre, J.S., Rasmussen, M.L., Kline, R.A., Bert, C.W. (1996). Perturbation and Finite Difference Solutions for Wave Propagation in Composites with Periodic Stiffness Variations. In: Thompson, D.O., Chimenti, D.E. (eds) Review of Progress in Quantitative Nondestructive Evaluation. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0383-1_34
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DOI: https://doi.org/10.1007/978-1-4613-0383-1_34
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-8027-6
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