Correlation between ultrasonic shear wave velocity and Poisson’s ratio for isotropic solid materials

Kumar, Anish; Jayakumar, T.; Raj, Baldev; Ray, K. K.

doi:10.1016/s1359-6454(03)00054-5

Cited by 82 publications

(48 citation statements)

References 10 publications

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“…[3], which indicates that the rate of change in V T avg is higher as compared to the rate of change in V L , for a given variation in the a-phase volume fraction. This finding is in accordance with the earlier reported observations by Kumar et al [23] that the shear wave velocity is more influenced by changes in various microstructural features as compared to the ultrasonic longitudinal wave velocity. This also indicates that Poisson's ratio, which is a function of the ratio of the ultrasonic longitudinal and shear wave velocities, can also be correlated with the volume fraction of the phases in the titanium alloy.…”

Section: B Ultrasonic Velocitiessupporting

confidence: 94%

Ultrasonic Characterization of Microstructural Changes in Ti-10V-4.5Fe-1.5Al β-Titanium Alloy

Viswanath

Kumar

Jayakumar

et al. 2015

Metall Mater Trans A

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Ultrasonic measurements have been carried out in Ti-10V-4.5Fe-1.5Al b-titanium alloy specimens subjected to b annealing at 1173 K (900°C) for 1 hour followed by heat treatment in the temperature range of 823 K to 1173 K (550°C to 900°C) at an interval of 50 K (50°C) for 1 hour, followed by water quenching. Ultrasonic parameters such as ultrasonic longitudinal wave velocity, ultrasonic shear wave velocity, shear anisotropy parameter, ultrasonic attenuation, and normalized nonlinear ultrasonic parameter have been correlated with various microstructural changes to understand the interaction of the propagating ultrasonic wave with microstructural features in the alloy. Simulation studies using JMatPro Ò software and X-ray diffraction measurements have been carried out to estimate the a-phase volume fraction in the specimens heat treated below the b-transus temperature (BTT). It is found that the a-phase (HCP) volume fraction increases from 0 to 52 pct, with decrease in the temperature from 1073 K to 823 K (800°C to 550°C). Ultrasonic longitudinal and shear wave velocities are found to increase with decrease in the heat treatment temperature below the BTT, and they exhibited linear relationships with the a-phase volume fraction. Thickness-independent ultrasonic parameters, Poisson's ratio, and the shear anisotropy parameter exhibited the opposite behavior, i.e., decrease with increase in the a-phase consequent to decrease in the heat treatment temperature from 1073 K to 823 K (800°C to 550°C). Ultrasonic attenuation is found to decrease from 0.7 dB/mm for the b-annealed specimen to 0.23 dB/mm in the specimen heat treated at 823 K (550°C) due to the combined effect of the decrease in the b-phase (BCC) with higher damping characteristics and the reduction in scattering due to randomization of b grains with the precipitation of a-phase. Normalized nonlinear ultrasonic parameter is found to increase with increase in the a-phase volume fraction due to increased interfacial strain. For the first time, quantitative correlations established between various ultrasonic parameters and the volume fraction of a-phase in a b-titanium alloy are reported in the present paper. The established correlations are useful for estimation of volume fraction of a-phase in heat-treated btitanium alloy, by nondestructive ultrasonic measurements.

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Section: B Ultrasonic Velocitiessupporting

confidence: 94%

Ultrasonic Characterization of Microstructural Changes in Ti-10V-4.5Fe-1.5Al β-Titanium Alloy

Viswanath

Kumar

Jayakumar

et al. 2015

Metall Mater Trans A

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“…For example, the ultrasonic longitudinal wave velocity and shear wave velocity in austenitic stainless steel are 5690 to 5800 m/s and 3150 to 3300 m/s, respectively, whereas they are 5900 to 6000 m/s and 3100 to 3300 m/s, respectively, for ferritic steel with martensitic structure. [25] The maximum in hardness coincides with the maximum in ultrasonic longitudinal wave velocity at 40 hours, whereas the shear wave velocity exhibits a maximum at 70 hours. The maximum in shear wave velocity at 70 hours shows that even though a sufficient amount of austenite is present, its effect on shear wave velocity is less and the influence of precipitation is seen up to 70 hours, indicating that precipitation of intermetallics continues even up to 70 hours of aging at 755 K. Figure 6 shows the variation in ultrasonic longitudinal and shear wave velocities with hardness.…”

Section: A Microstructural Investigationsmentioning

confidence: 77%

“…Poisson's ratio with ultrasonic velocities on precipitation of intermetallics has been reported earlier also. [25] As discussed earlier, the influence of precipitation of intermetallics and the reversion of austenite is different on ultrasonic longitudinal and shear wave velocities. This would lead to different correlations between ultrasonic velocities and Poisson's ratio due to precipitation of intermetallic phases and reversion of austenite; i.e., deviation from linearity is expected consequent to the initiation of reversion of austenite.…”

Section: A Microstructural Investigationsmentioning

confidence: 86%

“…Similar results of larger influence on ultrasonic shear wave velocity as compared to longitudinal wave velocity have been reported earlier also for precipitation of intermetallics in other alloys. [25,26] The higher influence of reversion of austenite on the longitudinal wave velocity can be explained by comparing the ultrasonic velocities in martensitic and austenitic steels. The difference in the ultrasonic longitudinal wave velocity for the two steels is greater as compared to that of the shear wave velocity.…”

Section: A Microstructural Investigationsmentioning

confidence: 99%

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Characterization of Aging Behavior in M250 Grade Maraging Steel Using Ultrasonic Measurements

Rajkumar

Kumar

Jayakumar

et al. 2007

Metall Mater Trans A

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Ultrasonic measurements have been carried out in M250 grade maraging steel specimens subjected to solution annealing at 1093 K for 1 hour followed by aging at 755 K for various durations in the range of 0.25 to 100 hours. The influence of aging on microstructure, room temperature hardness, and ultrasonic parameters (longitudinal and shear wave velocities and Poisson's ratio) has been studied in order to derive correlations among these parameters in aged M250 maraging steel. Both hardness and ultrasonic velocities exhibit almost similar behaviors with aging time. They increase with the precipitation of intermetallic phases, Ni 3 Ti and Fe 2 Mo, and decrease with the reversion of martensite to austenite. Ultrasonic shear wave velocity is found to be more influenced by the precipitation of intermetallic phases, whereas longitudinal wave velocity is influenced more by the reversion of martensite to austenite. Unlike hardness and ultrasonic velocities, the Poisson's ratio exhibits a monotonous decrease with aging time and, hence, can be used for unambiguous monitoring of the aging process in M250 maraging steel. Further, none of the parameters, i.e., hardness, ultrasonic velocity, or Poisson's ratio, alone could identify the initiation of the reversion of austenite at early stage; however, the same could be identified from the correlation between ultrasonic velocity and Poisson's ratio, indicating the advantage of using the multiparametric approach for comprehensive characterization of complex aging behavior in M250 grade maraging steel.

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“…The elastic moduli, including the Young's, shear and bulk moduli, and the Poisson's ratio, of isotropic solid materials may be calculated from measurements of the density and longitudinal and shear sound velocities by ultrasonic methods [17,102,111]: [110].…”

Section: Young's Bulk and Shear Modulimentioning

confidence: 99%

A review of the processing, composition, and temperature-dependent mechanical and thermal properties of dielectric technical ceramics

et al. 2011

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The current review uses the material requirements of a new space propulsion device, the Variable Specific Impulse Magnetoplasma Rocket (VASIMR ® ) as a basis for presenting the temperature dependent properties of a range of dielectric ceramics, but data presented could be used in the engineering design of any ceramic component with complementary material requirements. A material is required for the gas containment tube (GCT) of VASIMR ® to allow it to operate at higher power levels. The GCT's operating conditions place severe constraints on the choice of material. A dielectric is required with a high thermal conductivity, low dielectric loss factor, and high thermal shock resistance. There is a lack of a representative set of temperature-dependent material property data for materials considered for this application and these are required for accurate thermo-structural modelling. This modelling would facilitate the selection of an optimum material for this component. The goal of this paper is to determine the best material property data values for use in the materials selection and design of such components. A review of both experimentally and theoretically-determined temperature-dependent & room temperature properties of several materials has been undertaken. Data extracted are presented by property. Properties reviewed are density, Young's, bulk and shear moduli, Poisson's ratio, tensile, flexural and compressive strength, thermal conductivity, specific heat capacity, thermal expansion coefficient and the factors affecting maximum service temperature. Materials reviewed are alumina, aluminium nitride, beryllia, fused quartz, sialon and silicon nitride.

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Correlation between ultrasonic shear wave velocity and Poisson’s ratio for isotropic solid materials

Cited by 82 publications

References 10 publications

Ultrasonic Characterization of Microstructural Changes in Ti-10V-4.5Fe-1.5Al β-Titanium Alloy

Ultrasonic Characterization of Microstructural Changes in Ti-10V-4.5Fe-1.5Al β-Titanium Alloy

Characterization of Aging Behavior in M250 Grade Maraging Steel Using Ultrasonic Measurements

A review of the processing, composition, and temperature-dependent mechanical and thermal properties of dielectric technical ceramics

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