Vibration of an Infinite Inhomogeneous Trasversely Isotropic Viscoelastic Medium With a Cylindrical Hole

D. P. Acharya; Indrajit Roy; P. K. Biswas

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D. P. Acharya, Indrajit Roy, P. K. Biswas. Vibration of an Infinite Inhomogeneous Trasversely Isotropic Viscoelastic Medium With a Cylindrical Hole[J]. Applied Mathematics and Mechanics, 2008, 29(3): 331-341.

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Vibration of an Infinite Inhomogeneous Trasversely Isotropic Viscoelastic Medium With a Cylindrical Hole

1.
Bangabasi Morning College, Kolkata 700 009, WB, India;

Received Date: 2007-06-01
Rev Recd Date: 2007-12-28
Publish Date: 2008-03-15

Abstract

Abstract

The influences of higher order viscoela sticity and the inhomo geneities of the transversely isotropic elastic parameters on the disturbances in an infinite medium, caused by the presence of a transient radial force or twist on the surface of a cylindrical hole with circular cross section are investigated. Following Voigt's model for higher order viscoelasticity the nonvanishing stress components valid for a transversely isotropic and higher or derviscoelastic solid medium were deduced in terms of radial displacement component. Considering the power law variation of elastic and viscoelastic parameters, the stress equation of motion was developed. Solving this equation under suitable boundary conditions due to transient forces and twists radial displacement and relevant stress components were found out in terms of modified Bessel functions. The problem for the presence of transient radial force was numerically analysed. Modulations of displacement and stresses due to different order of viscoelasticity and inhomogeneity were graphically depicted. The numerical study of the disturbance caused by the presence of twist on the surface may be similarly done and is not pursued.
- higher order viscoelasticity,
- inhomogeneity and transversely isotropy,
- transient force and twist,
- radial displacement,
- stress component,
- modified Bessel function

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References(23)

References

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