Torsional wave propagation in a pre-stressed circular cylinder embedded in a pre-stressed elastic medium

Ozturk A., Akbaro S.

APPLIED MATHEMATICAL MODELLING, cilt.33, sa.9, ss.3636-3649, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 9
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.apm.2008.12.003
  • Dergi Adı: APPLIED MATHEMATICAL MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3636-3649
  • Anahtar Kelimeler: Torsional wave dispersion, Initial stresses, Circular cylinder embedded in the infinite medium, Third order elastic constants, INTERFACE STRESS-FIELD, HALF-SPACE, DISPERSION-RELATIONS, LAYER, DEFORMATIONS, CONSTANTS
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Within the framework of the piecewise homogeneous body model with utilization of the three-dimensional linearized theory of elastic waves in initially stressed bodies, the mathematical modeling of the torsional wave propagation in the initially stressed infinite body containing an initially stressed circular solid cylinder (case 1) and circular hollow cylinder (case 2) are proposed. In these cases, it has been assumed that in the constituents of the considered systems there exist only the normal homogeneous tensional or compressional initial stress acting along the cylinder, i.e. in the direction of wave propagation. in the case where the mentioned initial stresses are not present, the proposed mathematical modeling coincides with that proposed and investigated by other authors within the classical linear theory of elastic waves. The mechanical properties of the cylinder and surrounding infinite medium have been described by the Murnaghan potential. The numerical results related to the torsional wave dispersion and the influence of the mentioned initial stresses on this dispersion are presented and discussed. (C) 2009 Elsevier Inc. All rights reserved.