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Numerical Simulation of Nonlinear Elastic Wave Propagation in Piecewise Homogeneous Media
Materials Science and Engineering: A
  • Arkadi Berezovski, Tallinn University of Technology
  • Mihhail Berezovski, Tallinn University of Technology
  • Juri Engelbrecht, Tallinn University of Technology
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Daytona Beach
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Systematic experimental work [S. Zhuang, G. Ravichandran, D. Grady, J. Mech. Phys. Solids 51 (2003) 245–265] on laminated composites subjected to high velocity impact loading exhibits the dispersed wave field and the oscillatory behavior of waves with respect to a mean value. Such a behavior is absent in homogeneous solids. An approximate solution to the plate impact in layered heterogeneous solids has been developed in [X. Chen, N. Chandra, A.M. Rajendran, Int. J. Solids Struct. 41 (2004) 4635–4659]. The influence of the particle velocity on many process characteristics was demonstrated. Based on earlier results [A. Berezovski, J. Engelbrecht, G.A. Maugin, Arch. Appl. Mech. 70 (2000) 694–706], numerical simulations of one-dimensional wave propagation in layered nonlinear heterogeneous materials have been performed. The formulated problem follows a conventional experimental configuration of a plate impact. An extension of the high-resolution finite volume wave-propagation algorithm [R.J. LeVeque, Finite Volume Methods for Hyperbolic Problems, Cambridge University Press, 2002] is used. The speed of sound depends nonlinearly on a current stress value in each layer but also on the mismatch properties of layers. Results of numerical simulations capture the experimental data rather well.

Additional Information

Dr. Mihhail Berezovski was not affiliated with Embry-Riddle Aeronautical University at the time this paper was published.

Citation Information
Arkadi Berezovski, Mihhail Berezovski and Juri Engelbrecht. "Numerical Simulation of Nonlinear Elastic Wave Propagation in Piecewise Homogeneous Media" Materials Science and Engineering: A Vol. 418 Iss. 1-2 (2006) p. 364 - 369
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