A Method of Measuring some Dynamic Elastic Constants and its Application to the Study of High Polymers

Hillier, K W

doi:10.1088/0370-1301/62/11/303

Cited by 42 publications

(6 citation statements)

References 9 publications

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“…The similarity between the qualitative behavior of a linear elastic material with voids and the behavior of a standard linear solid is observed even more strikingly in the dynamic and inhomogeneous situation of harmonic wave propagation. The propagation of harmonic waves in a standard linear solid is discussed by Hillier [9] and by Kolsky [10] and in a linear elastic material with pores by Puff and Cowin [6]. For both materials the phase velocity and internal friction or specific loss is plotted as a function of frequency.…”

Section: Discussionmentioning

confidence: 99%

“…In all applications [1,2,3,4,5,6] of this theory, the viscoelastic effects have played a prominent role. The purpose of this paper is to show that the type of linear viscoelasticity generally displayed by linear elastic materials with voids is that of a standard linear solid [7,8,9,10]. The standard linear solid is a particular linear viscoelastic model.…”

Section: Introductionmentioning

confidence: 99%

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The viscoelastic behavior of linear elastic materials with voids

Cowin

1985

J Elasticity

166

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It is shown that the constitutive equations for a linear elastic material with voids imply a viscoelastic stress-strain relation known as the "standard linear solid" in the case of quasi-static, homogeneous deformations in the absence of self-equilibrated body forces. It is noted that, even for deformations that are dynamic and/or inhomogeneous the viscoelastic behavior is still qualitatively similar to that predicted by the standard linear solid model.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The viscoelastic behavior of linear elastic materials with voids

Cowin

1985

J Elasticity

166

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“…Following Hillier [33], who treated the Maxwell solid in uniaxial loading only, the relations (19) and (20) can be combined with the equations of motion for an isotropic elastic element [24] to obtain the following governing equation for the dilatation (see Appendix A)…”

Section: Diffusion In Viscoelastic Materialsmentioning

confidence: 99%

Inertial effects and diffusion

McGahay

2004

Journal of Non-Crystalline Solids

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“…In Fig. 1 we illustrate measurements on a small cylinder of polythene (Hillier 1949). The attenuation characteristic ~( f ) is essentially linear whereas the phase velocity characteristic continues to increase with increasing frequency but with diminished slope.…”

Section: Published Experimental Resultsmentioning

confidence: 98%

The Determination of Q, Dynamic Viscosity and Transient Creep Curves from Wave Propagation Measurements

Strick

1967

Geophys J Int

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Perhaps the best theoretical approximation to the experimentally observed attenuation and spreading of seismic body waves is due to Futterman. Wuenschel has utilized the Pierre shale field data of McDonal et al. as well as his own two-dimensional model work using Plexiglas sheet, to obtain remarkable confirmation of Futterman's approach. However, Futterman's assumption of a linear attenuation-frequency relation requires truncation at both ends of the frequency spectrum. The arbitrariness of this truncation leads to unnecessary parameters which make his approximation awkward to use. We discuss a power-law approximation to the attenuation characteristic which does not have this difficulty. Emphasis will be on computation of mechanical properties such as spatial ' Q ', magnitude and loss angle of the modulus, dynamic viscosity and transient creep. These computations which are based upon the wave propagation measurements of Jordan will be seen to be in remarkable agreement with independent measurements by Lethersich, who utilized direct experimental procedures.

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A Method of Measuring some Dynamic Elastic Constants and its Application to the Study of High Polymers

Cited by 42 publications

References 9 publications

The viscoelastic behavior of linear elastic materials with voids

The viscoelastic behavior of linear elastic materials with voids

Inertial effects and diffusion

The Determination of Q, Dynamic Viscosity and Transient Creep Curves from Wave Propagation Measurements

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