Skip to main content

Transversal Waves in Nonlinear Signorini Model

  • Conference paper
Computational Science and Its Applications – ICCSA 2008 (ICCSA 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5072))

Included in the following conference series:

Abstract

Propagation of waves in hyperelastic composite materials is studied by using a nonlinear model based on Signorini potential. The nonlinear wave solution, excited by an ingoing transversal pulse, and the corresponding nonlinear effects are discussed and simulated.

One of the authors (E.Nosova) whish to thank Istituto Nazionale di Alta Matematica Francesco Severi (INdAM) for suppporting this work with the scolarship N U 2007/000458 07/09/2007.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Achenbach, J.D.: Waves Propagation in Elastic Solids. North-Holland, Amsterdam (1973)

    Google Scholar 

  2. Cattani, C.: The wavelets based technique in the dispersive wave propagation. International Applied Mechanics 39(4), 132–140 (2003)

    Article  Google Scholar 

  3. Cattani, C.: Multiscale Analysis of Wave Propagation in Composite Materials. Mathematical Modelling and Analysis 8(4), 267–282 (2003a)

    MATH  MathSciNet  Google Scholar 

  4. Cattani, C.: Harmonic Wavelets towards Solution of Nonlinear PDE. Computers and Mathematics with Applications 50(8-9), 1191–1210 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  5. Cattani, C.: On the scale dependence of the structural models for nanocomposite materials. Materiale Plastice 4, 135–142 (2007)

    Google Scholar 

  6. Cattani, C.: Waves in nonlinear Signorini structural model. In: Krakow, P., van Albada, D., et al. (eds.) ICCS 2008, Part II. LNCS, vol. 4488. Springer, Heidelberg (2008)

    Google Scholar 

  7. Cattani, C., Rushchitsky, J.J.: Wavelet and Wave Analysis as applied to Materials with Micro or Nanostructure. Series on Advances in Mathematics for Applied Sciences, vol. 74. World Scientific, Singapore (2007)

    MATH  Google Scholar 

  8. Drumheller, D.S.: Introduction to Wave Propagation in Nonlinear Fluids and Solids. Cambridge University Press, Cambridge (1998)

    Google Scholar 

  9. Germain, P.: Progressive waves. Jahrbuch Deutsch. Gesellschaft Luft Raumfahrt, Koln, 11–30 (1972)

    Google Scholar 

  10. Hudson, J.A.: The Excitation and Propagation of Elastic Waves. Cambridge University Press, Cambridge (1980)

    MATH  Google Scholar 

  11. Rushchitsky, J.J., Cattani, C.: Similarities and distinctions in description of evolution of quadratically nonlinear hyperelastic plane waves by Murnaghan and Signorini potentials. International Applied Mechanics 42(9), 41–58 (2006)

    Article  MathSciNet  Google Scholar 

  12. Toma, C.: An Extension of the Notion of Observability at Filtering and Sampling Devices. In: Proceedings of the International Symposium on Signals, Circuits and Systems Iasi SCS Romania, pp. 233–236 (2001)

    Google Scholar 

  13. Toma, G.: Practical Test Functions Generated by Computer Algorithms. In: Gervasi, O., Gavrilova, M.L., Kumar, V., Laganá, A., Lee, H.P., Mun, Y., Taniar, D., Tan, C.J.K. (eds.) ICCSA 2005. LNCS, vol. 3482, pp. 576–584. Springer, Heidelberg (2005)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Osvaldo Gervasi Beniamino Murgante Antonio Laganà David Taniar Youngsong Mun Marina L. Gavrilova

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Cattani, C., Nosova, E. (2008). Transversal Waves in Nonlinear Signorini Model . In: Gervasi, O., Murgante, B., Laganà, A., Taniar, D., Mun, Y., Gavrilova, M.L. (eds) Computational Science and Its Applications – ICCSA 2008. ICCSA 2008. Lecture Notes in Computer Science, vol 5072. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69839-5_90

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-69839-5_90

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69838-8

  • Online ISBN: 978-3-540-69839-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics