Advertisement

Difference in the Evolution of Longitudinal and Transverse Bell-Shaped Plane Waves Propagating in Nonlinear Elastic Composites

  • V. N. YurchukEmail author
Article

The results on the evolution of nonlinear elastic longitudinal and transverse bell-shaped plane waves are theoretically described, analyzed, and compared. Eighteen options of initial parameters, two composite materials, three wave lengths, three maximum initial amplitudes are numerically analyzed. Three-dimensional graphs of displacement versus traveled distance versus travel time for each option are plotted. The emphasis is on the differences in the evolution of longitudinal and transverse waves.

Keywords

nonlinear longitudinal and transverse plane waves approximate method bell-shaped wave profile difference in wave evolutions 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    J. J. Rushchitsky and S. I. Tsurpal, Waves in Microstructural Materials [in Ukrainian], Inst. Mekh. S. P. Timoshenka, Kyiv (1998).Google Scholar
  2. 2.
    J. J. Rushchitsky, Nonlinear Elastic Waves in Materials, Springer, Heidelberg (2014).CrossRefzbMATHGoogle Scholar
  3. 3.
    J. J. Rushchitsky, C. Cattani, and S. V. Sinchilo, “Physical constants for one type of nonlinearly elastic fibrous micro and nanocomposites with hard and soft nonlinearities,” Int. Appl. Mech., 41, No. 12, 1368–1377 (2005).CrossRefGoogle Scholar
  4. 4.
    J. J. Rushchitsky and V. N. Yurchuk, “An approximate method for analysis of solitary waves in nonlinear elastic materials,” Int. App. Mech., 52, No. 3, 282–289 (2016).MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    J. J. Rushchitsky and V. N. Yurchuk, “Evolution of SV-wave with Gaussian profile,” Int. Appl. Mech., 53, No. 3, 300–304 (2017).ADSMathSciNetCrossRefGoogle Scholar
  6. 6.
    V. N. Yurchuk and J. J. Rushchitsky, “Numerical analysis of the evolution of the plane longitudinal nonlinear elastic waves with different initial profiles,” Int. App. Mech., 53, No. 1, 104–110 (2017).MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.S. P. Timoshenko Institute of MechanicsNational Academy of Sciences of UkraineKyivUkraine

Personalised recommendations