ON THE DISPERSION OF TORSIONAL WAVES IN THE IMPERFECTLY BONDED FINITELY PRE-STRAINED BI-MATERIAL HOLLOW CYLINDER MADE OF HIGHLY-ELASTIC MATERIAL

In this paper, 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 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. 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.

Keywords:

Torsional wave dispersion, imperfect contact condition initial stress, compounded cylinder,

PDF

___

[1] A. Ozturk, S.D. Akbarov, Propagation of torsional waves in a prestretched compound hollow circular cylinder, Mech. Comput. Mater. 44 (1) (2008) 77–86.
[2] A. Ozturk, S.D. Akbarov, Torsional wave propagation in a pre-stresses circular cylinder embedded in a pre-stresses elastic medium, Appl. Math. Model. 33 (2009) 3636–3649.
[3] A. Ozturk, S.D. Akbarov, Torsional wave propagation relation in a pre-stressed bi-material compounded cylinder, ZAMM: Z Angew. Math. Mech. 89 (9) (2009) 754–766.
[4] J.R. Berger, P.A. Martin, S.J. McCaffery, Time-harmonic torsional waves in a composite cylinder with an imperfect interface, J. Acoust. Soc. Am. 107 (3) (2000) 1161–1167.
[5] Kepceler, T. (2010), “Torsional wave dispersion relations in a pre-stressed bi-material compounded cylinder with an imperfect interface”, Appl. Math. Model., 34, 4058-4073.
[6] J.P. Jones, J.S. Whitter, Waves at a flexibly bonded interface, J. Appl. Mech. 34 (1967) 905–909.
[7] F.D. Murnagan, Finite Deformation of an Elastic Solid, Wiley, New York, 1951.
[8] P.A. Martin, Boundary integral equations for the scattering of elastic waves by elastic inclusions with thin interface layers, J. Nondestruct. Eval. 11 (1992) 167–174.
[9] S.I. Rokhlin, Y.J. Wang, Analysis of boundary conditions for elastic wave interaction with an interface between two solids, J. Acoust. Soc. Am. 89 (1991) 503–515.
[10] A.K. Mal, P.C. Xu, Elastic waves in layered media with interface feature, in: M.F. McCarthy, Hayes (Eds.), Elastic Wave Propagation, North-Holland, Amsterdam, 1989, pp. 67– 73.
[11] A. Pilarski, J.L. Rose, A transverse-wave ultrasonic oblique-incidence technique for interfacial weakness detection in adhesive bonds, J. Appl. Phys. 63 (1988) 300–307.
[12] R.T. Smith, R. Stren, R.V.B. Stephens, Third order elastic moduli of polycrystalline metals from ultrasonic velocity measurements, J. Acoust. Soc. Am. 40 (5) (1966) 1002–1008.
[13] Akbarov, S.D.,Kepceler,T., Egilmez, M.M., Dikmen, F., (2011). “ Torsional Wave Propagation in the Finitely Pre-Stretched Hollow Bi-Material Compound Circular Cylinder”, Computers Materials & Continua (CMC), vol.26(2), pp. 91-109.
[14] Akbarov, S.D.,Kepceler,T., Egilmez, M.M. (2011). “ Torsional Wave Propagation in a Finitely Pre-Strained Hollow Sandwich Circular Cylinder”, Journal of Sound and Vibration, vol. 330, pp. 4519-4537.
[15] Akbarov, S. D., Ipek, C., 2010: The influence of the interface conditions on the dispersion of the Axisymmetric longitudinal waves in the pre-strained compound cylinder. CMES: Computer Modeling in Engineering and Science.70(2) 93-122.

Sigma Mühendislik ve Fen Bilimleri Dergisi-Cover

ISSN: 1304-7191
Yayın Aralığı: Yılda 4 Sayı
Yayıncı: Yıldız Teknik Üniversitesi

Arşiv