INFLUENCE OF IMPERFECT CONTACT CONDITIONS ON THE TORSIONAL WAVE DISPERSION IN PRE-STRAINED MANY LAYERED HOLLOW CYLINDER MADE OF HIGHLY ELASTIC MATERIALS

In this paper, influence of the bonded imperfectness on torsional wave dispersion in the finitely pre-strained hollow compound circular cylinder made of highly-elastic material were investigated. The investigations are carried out within the scope of the piecewise homogeneous body model with the use of the Three-dimensional Linearized Theory of Elastic Waves in Initially Stresses Bodies (TLTEWISB). The mechanical relations of the materials of the cylinders are described through the harmonic potential. Numerical results on the effects of the imperfectness of the boundary condition on the influence of the initial stresses on the wave propagation velocity are presented and discussed.

___

  • [1] Akbarov, S. D. Dynamics of Pre-Strained Bi-Material Elastic Systems, Linearized Three-Dimensional Approach, Vol. 1, 7: Springer 2015.
  • [2] Akbarov, S.D, Ipek C., “The influence of the imperfectness of the interface conditions on the dispersion of the axisymmetric longitudinal waves in the pre-strained compound cylinder”, CMES Computational Mathematics and Engineering Sciences, 70, 2, 93-121, 2010.
  • [3] Akbarov, S. D, Ipek C., “Dispersion of axisymmetric longtudinal waves in a pre-strained imperfectly bonded bi-layered hollow cylinder”, CMC Computers Materials & Continua, 30, 2, 99-144, 2012.
  • [4] Akbarov, S.D, Kepceler T, Egilmez M.M., “Torsional wave propagation in a finitely pre-strained hollow sandwich circular cylinder”, JSV Journal Sound Vibration, 330, 4519-4537, 2011.
  • [5] Akbarov, S.D, Kepceler T, Egilmez M.M, Dikmen F., “Torsional wave propagation in the finitely pre-stretched hollow bi-material compound circular cylinder”, CMC Computers, Materials and Continua, 26, 2, 91-109, 2011.
  • [6] Akbarov, S.D, Kepceler T, Karafaki E., “The influence of the bonded imperfectness on torsional wave dispersion in the finitely pre-strained hollow bi-material compound circular cylinder made of highly elastic material”, In: ICCE-22 22nd Annual International Conference on Composites or Nano Engineering, Malta; 2014.
  • [7] Berger, J.R, Martin P.A, McCaffery S.J., “Time-harmonicntorsional waves in a composite cylinder with an imperfect interface”, The Journal of the Acoustical Society of America, 107, 3, 1161-1167, 2000.
  • [8] Ipek C., “The dispersion of the flexural waves in a compound hollow cylinder under imperfect contact between layers”, SEM Structural Engineering Mechanical, 55, 2, 335-348, 2015.
  • [9] Jones J.P., “Whitter J.S. Waves at a flexibly bonded interface”, Journal Applied Mechanics, 34, 905-909, 1967.
  • [10] Kepceler T., “Torsional wave dispersion relations in a pre-stressed bi-material compound cylinderwith an imperfect interface”, Applied Mathematical Modelling, 34, 4058-4073, 2010.
  • [11] Kepceler T, Karafaki E., “On the dispersion of torsional waves in the imperfectly bonded finitely pre-strained bi-material hollow cylinder made of highly-elastic material”, Sigma Journal of Engineering and Natural Sciences, 32, 4, 454-468, 2014.
  • [12] Mal A.K, Xu, P.C., “Elastic waves in layered media with interface feature, Elastic Wave Propagation”, M.F. McCarthy, Hayes (Eds.), Amsterdam, North-Holland, Holland; 1989.
  • [13] Martin P.A., “Boundary integral equations for the scattering of elastic waves by elastic inclusions with thin interface layers”, Journal of Nondestructive Evaluaion, 11, 167-74, 1992.
  • [14] Murnagan F.D., “Finite Deformation of an Elastic Solid”, Wiley, New York, NY, USA, 1951.
  • [15] Ozturk A, Akbarov S.D., “Propagation of torsional waves in a prestretched compound hollow circular cylinder”, Mechanics of Composite Materials, 44, 1, 77–86, 2008.
  • [16] Ozturk A, Akbarov S.D., “Torsional wave propagation in a pre-stresses circular cylinder embedded in a pre-stresses elastic medium”, Applied Mathematical Modelling, 3, 3636–3649, 2009.
  • [17] Ozturk A, Akbarov S.D., “Torsional wave propagation relation in a pre-stressed bi-material compounded cylinder”, ZAMM Journal of Applied Mathematics and Mechanics, 89, 9, 754–766, 2009.
  • [18] Pilarski A, Rose J.L., “A transverse-wave ultrasonic oblique-incidence technique for interfacial weakness detection in adhesive bonds”, Journal of Applied Physics, 63, 300–307, 1988.
  • [19] Rokhlin S.I, Wang Y.J., “Analysis of boundary conditions for elastic wave interaction with an interface between two solids”, The Journal of the Acoustical Society of America, 89, 503–515, 1991.
  • [20] Smith R.T, Stren R, Stephens R.V.B., “Third order elastic moduli of polycrystalline metals from ultrasonic velocity measurements”, The Journal of the Acoustical Society of America, 40, 5, 1002–1008, 1966.