General closed-form expressions for acoustic waves in elastically anisotropic solids

Every, A. G.

doi:10.1103/physrevb.22.1746

Cited by 251 publications

(146 citation statements)

References 35 publications

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“…Under these conditions the transit time of the ultrasonic pulse in the solid is given simply in terms of the wall thickness and ultrasonic phase velocity component's surface. In our coding to calculate the directional dependence of the phase velocity we have made use ofc1osed form solutions of Christoffel's equations [3]. The dominant echo that we observe corresponds to longitudinal (L) wave transmission through the component.…”

Section: Experimental Details and Apparatusmentioning

confidence: 99%

Acoustic Microscopy Wall Thickness Measurements on Nickel Based Superalloy Gas Turbine Blades

Amulele

Every

Yates³

1999

Review of Progress in Quantitative Nondestructive Evaluation

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Section: Experimental Details and Apparatusmentioning

confidence: 99%

Acoustic Microscopy Wall Thickness Measurements on Nickel Based Superalloy Gas Turbine Blades

Amulele

Every

Yates³

1999

Review of Progress in Quantitative Nondestructive Evaluation

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“…For crystals of quadratic symmetry T = T rΓ = (C 11 + C 66 ). Upon making the replacement 2ρv 2 = S + T [5], one arrives at the following eigenvalue problem equation for S …”

Section: A Phase Velocities For Quadratic Materialsmentioning

confidence: 99%

“…In the case of quadratic crystals, one may use eigenvalues c J , c L , and c M in place of three elastic constants C 11 , C 12 , and C 66 , but the more reasonable choice is the use of three parameters, which are the analogs of the parameters introduced by Every [5], namely, s 1 = (C 11 + C 66 ) and two dimensionless parameters…”

Section: Auxetic Properties Of Quadratic Crystalsmentioning

confidence: 99%

“…We will show that their elastic properties can be studied in the same manner as those of 3D cubic materials. For this purpose we shall use parameters, which were 2D analogues of parameters introduced by Every [5] (cf. Appendix A).…”

Section: Introductionmentioning

confidence: 99%

“…In another paper [4] we studied the above mechanical properties of all mechanically stable cubic media. To achieve this goal, we used a set parameters introduced by Every [5]. All stable cubic elastic materials are represented by points of a prism with the stability triangle in the base.…”

Section: Introductionmentioning

confidence: 99%

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Auxetic properties and anisotropy of elastic material constants of 2D crystalline media

Jasiukiewicz

Paszkiewicz²,

Wołski

2008

Physica Status Solidi (b)

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Anisotropies of Young's modulus E, the shear modulus G, and Poisson's ratio ν of all 2D symmetry systems are studied. The shear modulus and Poisson's ratio of 2D crystals have fourfold symmetry. Simple necessary and sufficient conditions on their elastic compliances are derived to identify if any of these crystals is completely auxetic, non-auxetic or auxetic. Examples of all types of auxetic properties of crystals of oblique and rectangular symmetry are presented. Particular attention is paid to 2D crystals of quadratic symmetry. All mechanically stable quadratic crystals are characterized by three parameters belonging to a prism with the stability triangle in the base. Regions in the stability triangle in which quadratic materials are completely auxetic, non-auxetic, and auxetic are established.

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The Sm:YAG primary fluorescence pressure scale

et al. 2013

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[1] Primary pressure determinations involve the measurement of pressure without recourse to secondary standard materials. These measurements are essential for ensuring the accuracy of pressures measured in gasketed high-pressure devices. In this study, the wavelength of optical fluorescence bands and the density of single crystal Sm-doped yttrium aluminum garnet Y 3 Al 5 O 12 (Sm:YAG) have been calibrated as a primary pressure scale up to 58 GPa. Absolute pressures were obtained by integrating the bulk modulus determined via Brillouin spectroscopy with respect to volumes measured simultaneously by X-ray diffraction. A third-order Birch-Murnaghan equation of state of Sm:YAG yields V 0 = 1735.15(26) Å 3 , K T0 = 185(1.5) GPa, and K`= 4.18(5). The accompanied pressure-induced shifts of the fluorescence lines Y1 and Y2 of Sm:YAG were calibrated to the primary pressure, thus creating a highly accurate fluorescence pressure scale. These shifts are described as P = (A/B) * {[1 + (Δλ/λ 0 )] B À 1} with A = 2089.91(23.04), B = À4.43(1.07) for Y1, and A = 2578.22(48.70), B = À15.38(1.62) for Y2 bands, where Δλ = λ À λ 0 , λ and λ 0 are wavelengths in nanometer at pressure and ambient conditions. The sensitivity in the pressure determination of the Sm:YAG fluorescence shift is 0.32 nm/GPa, which is identical to that of the ruby scale. Sm:YAG can be considered elastically isotropic up to 58 GPa, implying insensitivity of the determined pressure to the crystallographic orientation under nonhydrostatic or quasi-hydrostatic conditions. The Sm:YAG fluorescence shift is apparently also independent of crystallographic orientation, in contrast to that of ruby. Since the Y fluorescence band of Sm:YAG is insensitive to temperature changes, this material is highly suitable for the measurement of pressure at elevated temperatures.

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General closed-form expressions for acoustic waves in elastically anisotropic solids

Cited by 251 publications

References 35 publications

Acoustic Microscopy Wall Thickness Measurements on Nickel Based Superalloy Gas Turbine Blades

Acoustic Microscopy Wall Thickness Measurements on Nickel Based Superalloy Gas Turbine Blades

Auxetic properties and anisotropy of elastic material constants of 2D crystalline media

The Sm:YAG primary fluorescence pressure scale

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