Measurement of acoustoelastic constants of titanium sheet by resonance EMATs

Kawashima, K.; Man, Chi‐Sing; Huang, Mengjiao

doi:10.1063/1.1373925

Cited by 4 publications

(5 citation statements)

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“…Here the zeroth order term S Iso 3 (v) is given by (21) in [4] and the first order term S Ptb 3 (v) is given by (25) in [4]. From now on, we consider Rayleigh waves under the setting of Sections 2 and 3, i.e., Rayleigh waves which propagate along the surface of the half-space x 3 ≤ 0 in the direction of the 2-axis.…”

Section: Perturbation Of Polarization Vectormentioning

confidence: 99%

“…where an entry of " " denotes a component the effects of the perturbative part A and the initial stress T • on which come from a 25 (37) and (38) in [4], respectively. These matrices, and hence the matrix…”

Section: Lemma 62 the Effects Of The Perturbative Part A Of L And Thmentioning

confidence: 99%

“…For copper, all the singlecrystal elastic constants are taken from Hiki and Granato [24]. For commerciallypure titanium, the values of λ, μ, β 1 , β 2 , and β 4 are measured [25], whereas the value of β 3 is computed from those of β 2 and β 4 through (81).…”

Section: Examples Of Applicationsmentioning

confidence: 99%

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Perturbation Formulas for Polarization Ratio and Phase Shift of Rayleigh Waves in Prestressed Anisotropic Media

Tanuma

Man

2007

J Elasticity

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This paper completes an earlier study (Tanuma and Man, Journal of Elasticity, 85, 21-37, 2006) where we derive a first-order perturbation formula for the phase velocity of Rayleigh waves that propagate along the free surface of a macroscopically homogeneous, anisotropic, prestressed half-space. We adopt the formulation of linear elasticity with initial stress and assume that the deviation of the prestressed anisotropic medium from a suitably-chosen, comparative, unstressed and isotropic state be small. No assumption, however, is made on the material anisotropy of the incremental elasticity tensor. With the help of the Stroh formalism, here we derive first-order perturbation formulas for the changes in polarization ratio and phase shift of Rayleigh waves from their respective comparative isotropic value. Examples are given, which show that the perturbation formulas for phase velocity and polarization ratio can serve as a starting point for investigations on the possible advantages of using Rayleigh-wave polarization, as compared with using wave speed, for acoustoelastic measurement of stress.

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Section: Perturbation Of Polarization Vectormentioning

confidence: 99%

Section: Lemma 62 the Effects Of The Perturbative Part A Of L And Thmentioning

confidence: 99%

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Perturbation Formulas for Polarization Ratio and Phase Shift of Rayleigh Waves in Prestressed Anisotropic Media

Tanuma

Man

2007

J Elasticity

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“…The Reuss and Hill estimates are given for the first time. These estimates lead to the definition of texture-dependent acoustic nonlinearity parameters, which [62], Al [63], and Ti [64,65]. Bunge's constants were converted to Roe's notation [66] Table 5 Voigt, Reuss, and Hill estimates of second-order elastic modulus of aggregates using the textures defined in Table 3 and single-crystal elastic constants found in Table 1 (GPa) Table 6 Voigt, Reuss, and Hill estimates of third-order elastic moduli of aggregates using the textures defined in Table 3 and single-crystal elastic constants found in Table 1 (GPa) Table 7 Voigt, Reuss, and Hill nonlinearity parameters of Fe, Al, and Ti for the textures defined in Table 3 Materialβ are often measured for nondestructive testing purposes.…”

Section: Resultsmentioning

confidence: 99%

“…No experimental estimates of single-crystal TOECs of titanium have been located. The ODCs or W lmn for iron, aluminum, and titanium were obtained from the literature and were all obtained experimentally from X-ray diffraction measurements [62][63][64][65]. It is important to note that each set of ODCs is specific to the sample tested and depends on the mechanism that caused the sample to become anisotropic.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Estimates of Nonlinear Elastic Constants and Acoustic Nonlinearity Parameters for Textured Polycrystals

Kube

Turner

2015

J Elast

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In this article, expressions are derived for the Voigt, Reuss, and Hill estimates of the third-order elastic constants for polycrystals with either cubic or hexagonal crystal symmetry and orthorhombic physical symmetry. General forms of the fourth-and sixthrank elastic stiffness and compliance tensors for crystal and physical symmetries are given. Explicit expressions are reduced from these tensors for the case of polycrystals exhibiting orthorhombic sample symmetry with either cubic or hexagonal crystallites. The estimated third-order elastic constants of the textured polycrystal are obtained in terms of second-and third-order single-crystal elastic constants and orientation distribution coefficients (ODCs), which are used to account for anisotropic physical symmetry. The acoustic nonlinearity parameter,β, is defined through combinations of the second-and third-order Voigt, Reuss, and Hill estimates of the elastic constants for a textured polycrystal. The model predicts thatβ is dependent on the type of averaging scheme used and the texture-defining ODCs. The model is quantitatively evaluated for polycrystalline iron, aluminum, and titanium using second-and third-order single-crystal elastic constants and experimentally measured ODCs. The interrelation betweenβ and polycrystalline anisotropy offers potential for techniques associated with quantitative texture analysis.

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Measurement of velocity variations along a wave path in the through-thickness direction in a plate

Kawashima

2005

Ultrasonics

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Measurement of acoustoelastic constants of titanium sheet by resonance EMATs

Cited by 4 publications

References 0 publications

Perturbation Formulas for Polarization Ratio and Phase Shift of Rayleigh Waves in Prestressed Anisotropic Media

Perturbation Formulas for Polarization Ratio and Phase Shift of Rayleigh Waves in Prestressed Anisotropic Media

Estimates of Nonlinear Elastic Constants and Acoustic Nonlinearity Parameters for Textured Polycrystals

Measurement of velocity variations along a wave path in the through-thickness direction in a plate

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