Journal ArticleDOI
The propagation of small amplitude waves in prestressed incompressible elastic cylinders
TLDR
In this paper, a study of the propagation of small amplitude waves in prestressed cylinders is made, where the initial state of finite strain is assumed to be a pure homogeneous biaxial deformation and the cylinder composed of a Mooney material.About:
This article is published in International Journal of Engineering Science.The article was published on 1976-01-01. It has received 18 citations till now. The article focuses on the topics: Equations of motion & Dispersion relation.read more
Citations
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Journal ArticleDOI
Elastic waves in bodies with initial (residual) stresses
TL;DR: In this article, an analysis of the results obtained in the three-dimensional linearized theory of elastic waves propagating in initially stressed solids was made. But the results were obtained in exact formulations.
Journal ArticleDOI
The effect of pre-stress on the vibration and stability of elastic plates
Ray W. Ogden,D.G. Roxburgh +1 more
TL;DR: In this paper, the authors studied plane incremental vibrations superimposed on the pure homogeneous deformation of a rectangular block of incompressible isotropic elastic material and derived the frequencies of symmetric and antisymmetric modes of vibration in terms of the underlying deformation and stress and of the inplane aspect ratio of the block.
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 dispersion in a finitely pre-strained hollow sandwich circular cylinder
TL;DR: In this article, the authors studied torsional wave dispersion in a three-layered hollow cylinder with finite initial strains and derived the analytical expression for the low-wavenumber limit values of the torsion wave propagation velocity.
Journal ArticleDOI
Axisymmetric longitudinal wave propagation in pre-stressed compound circular cylinders
TL;DR: In this paper, the influence of the initial stretching of the cylinders on the longitudinal wave dispersion has not only a quantitative, but also a qualitative character, and a lot of numerical results on the dispersion in the compound cylinders from tungsten (W) and aluminium (Al) are presented.
References
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Journal ArticleDOI
Stress-strain data for vulcanised rubber under various types of deformation
TL;DR: In this paper, stress-strain data were given for two types of vulcanized rubber: (1) an 8% S rubber and (2) a latex rubber, and the types of deformation studied were simple elongation, 2-dimensional extension, compression, pure shear, and combined elongation and shear.
Book ChapterDOI
Propagation of a plane wave in an isotropic elastic material subjected to pure homogeneous deformation
Michael Hayes,Ronald S. Rivlin +1 more
TL;DR: In this article, the authors apply the theory of the superposition of infinitesimal deformations on finite deformations in an isotropic elastic material to the study of the propagation of a plane wave of small amplitude in an infinite body of the material which is subjected to a static, pure homogeneous deformation.
Journal ArticleDOI
Small longitudinal vibration of an initially stretched circular cylinder
TL;DR: In this paper, small longitudinal oscillations of a circular, elastic cylinder initially subjected to a finite simple extension are studied for both compressible and incompressible materials and the frequency is determined approximately for the Mooney material.
Journal ArticleDOI
Plane thermo-elastic waves in an initially stressed medium
J.N. Flavin,A.E. Green +1 more
TL;DR: In this article, the propagation of plane thermo-elastic waves of small amplitude in an infinite body is studied, the body having been subjected to large uniform extensions, at constant temperature, in three perpendicular directions, two of the extension ratios being equal.
Journal ArticleDOI
On the axially-symmetric steady wave propagation in elastic circular rods
TL;DR: In this article, an exact solution for the problem of steady wave propagation in an isotropic, elastic circular bar of infinite length, free of stress on its lateral surface and loaded by a harmonic body force, parallel to its axis, whose amplitude is a Dirac delta function, is given.
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