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Torsional wave under initial stress

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TLDR
In this paper, the frequency equation for phase velocity of torsional wave in a rod of circular cross section under initial tension has been obtained and graphs are plotted to compare the velocity with that in the absence of initial tension.
Abstract
In this paper, the frequency equation for phase velocity of torsional wave in a rod of circular cross section under initial tension has been obtained. The graphs are plotted to compare the velocity with that in the absence of initial tension. Some analytical informations have been obtained for instability of the body under initial compression.

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Citations
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Journal ArticleDOI

Elastic waves in bodies with initial stresses

TL;DR: In this article, the wave propagation regularities in fibrous composites with inhomogeneous initial states were investigated and an ultrasonic non-destructive method was developed to determine the stress in the near surface layers of a solid.
Journal ArticleDOI

Torsional wave propagation in a pre-stressed hyperelastic annular circular cylinder

TL;DR: In this article, the authors consider torsional wave propagation in a pre-stressed annular cylinder and determine the dispersion relation for the annulus by using an approximation procedure.
Journal ArticleDOI

Axial strain dependence of all-fiber acousto-optic tunable filters

TL;DR: The axial strain dependence of two types of all-fiber acousto-optic tunable filters based on flexural and torsional acoustic waves is reported and the possibility of suppressing the strain effect in the filters or using the strain dependence for wavelength tuning or strain sensors is discussed.
Journal ArticleDOI

Magneto-elastic torsional waves in a bar under initial stress

TL;DR: In this article, the magneto-elastic torsional wave in a bar under initial stress is studied and the initial stress has been taken in the form of uniform tension.
Dissertation

Waves in Nonlinear Elastic Media with Inhomogeneous Pre-Stress

Tom Shearer
TL;DR: In this article, the effect of inhomogeneous pre-stress on elastic wave propagation and scattering in nonlinear elastic materials is investigated, and it is shown that the scattering coefficients and cross-sections for this problem are strongly dependent on the pre-stressed considered.
References
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Book

Stress Waves in Solids

TL;DR: A large and growing number of original papers on both the experimental and the theoretical aspects of stress wave propagation is appearing in the scientific literature, and two international conferences solely concerned with the subject have been held during the last five years as mentioned in this paper.
Journal ArticleDOI

Mechanics of Incremental Deformation

TL;DR: In this paper, the authors present an approach to non-linear elasticity which is characterized by the use of cartesian concepts and of elementary mathematical methods that do not require a knowledge of the tensor calculus or other more specialized techniques.
Journal ArticleDOI

Torsional Wave Propagation in Hollow Cylindrical Bars

TL;DR: In this article, the velocity of torsion wave propagation for the first five modes of motion for both solid rods and various geometries of hollow cylindrical rods is investigated.
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