INFLUENCE OF IMPERFECT CONTACT CONDITIONS ON THE TORSIONAL WAVE DISPERSION IN PRE-STRAINED MANY LAYERED HOLLOW CYLINDER MADE OF HIGHLY ELASTIC MATERIALS
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.
📌 3 Key Takeaways
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Objective & Hypothesis: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.
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Key Findings & Data: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).
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Conclusion & Impact: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.
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.
KARAFAKI, E., KEPÇELER, T. (2021). INFLUENCE OF IMPERFECT CONTACT CONDITIONS ON THE TORSIONAL WAVE DISPERSION IN PRE-STRAINED MANY LAYERED HOLLOW CYLINDER MADE OF HIGHLY ELASTIC MATERIALS. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 38 - Sayı: 2, 545–561. https://ajindex.com/articles/418935
Akbarov, S. D. Dynamics of Pre-Strained Bi-Material Elastic Systems, Linearized Three-Dimensional Approach, Vol. 1, 7: Springer 2015
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
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
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
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
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
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
Jones J.P., “Whitter J.S. Waves at a flexibly bonded interface”, Journal Applied Mechanics, 34, 905-909, 1967
Kepceler T., “Torsional wave dispersion relations in a pre-stressed bi-material compound cylinderwith an imperfect interface”, Applied Mathematical Modelling, 34, 4058-4073, 2010
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
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
Martin P.A., “Boundary integral equations for the s