On the propagation of acceleration waves in incompressible hyperelastic solids


Gultop T.

JOURNAL OF SOUND AND VIBRATION, cilt.264, sa.2, ss.377-389, 2003 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 264 Konu: 2
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0022-460x(02)01200-2
  • Dergi Adı: JOURNAL OF SOUND AND VIBRATION
  • Sayfa Sayıları: ss.377-389

Özet

The conditions for the propagation of acceleration waves (sound waves) in incompressible elastic media undergoing finite deformation are investigated. The incompressible hyperelastic solid media is considered in accordance with the general constitutive theory of materials subject to internal mechanical constraints. The equation of motion of acceleration waves is obtained using the theory of singular surfaces. A general comparison is made between the magnitudes of the propagation speeds of waves in incompressible and unconstrained solid media by the use of Mandel's inequalities. The magnitudes of the speeds of propagation of acceleration waves in the incompressible hyperelastic material classes of neo-Hookean, Mooney-Rivlin, and St. Venant-Kirchhoff solids are determined. Comparisons are made of the specific results concerning the magnitudes of wave propagation speeds making use of the corresponding material parameters. (C) 2002 Elsevier Science Ltd. All rights reserved.