Propagation of long extensional nonlinear waves in a hyper-elastic layer

Teymur M.

7th International Conference on Vibration Problems (ICOVP 2005), İstanbul, Türkiye, 5 - 09 Eylül 2005, cilt.111, ss.481-486 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 111
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.481-486
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

Propagation of small but finite amplitude waves in a nonlinear hyper-elastic plate of uniform thickness is considered. By employing a perturbation expansion, extensional waves are examined under the long wave limit. It is shown that the asymptotic wave field is governed by a Korteweg-DeVries (K-dV) equation. Then the propagation characteristics of the asymptotic waves are discussed via the well known solutions of the K-dV equation.