Elastic constants of binary iron-base alloys

Speich, G. R.; Schwoeble, A. J.; Leslie, W. C.

doi:10.1007/bf02643211

Cited by 191 publications

(103 citation statements)

References 22 publications

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“…The pulse echo technique (PET) can be used for the measurement of ultrasonic parameters, because it avoids heat loss and scattering loss. Elastic constants and other ultrasonic parameters of binary Fe-Co and Fe-Ru alloys have been determined by a pulse echo technique [19].…”

Section: Discussionmentioning

confidence: 99%

Acoustic Wave Propagation in Nanocrystalline RuCo Alloys

Yadawa¹,

Singh²,

Pandey³

et al. 2011

AMPC

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The ultrasonic properties like elastic constant, ultrasonic velocity in the hexagonal structured nanocrystalline RuCo alloys have been studied along unique axis at room temperature. The second and third order elastic constants (SOEC & TOEC) have been calculated for these alloys using Lennard-Jones potential. The orientation dependent ultrasonic velocity has been also evaluated to study the anisotropic behaviour of these alloys. The velocities V L and V S1 have minima and maxima, respectively at 45° with unique axis of the crystal, while V S2 increases with the angle from unique axis. The inconsistent behaviour of angle-dependent velocities is associated to the action of second order elastic constants. Debye average ultrasonic velocities of these alloys are increasing with the angle and has maximum at 55° with unique axis at room temperature. Hence, when a ultrasonic wave travels at 55° with unique axis of these alloys, then the average ultrasonic velocity is found to be maximum. Elastic constants and density are mainly the affecting factor for anomalous behaviour of ultrasonic velocity in these alloys. The mechanical and ultrasonic properties of Co 0.75 Ru 0.25 alloy will be better than the other compounds due to their high SOEC, ultrasonic velocity and low ultrasonic attenuation. Co 0.75 Ru 0.25 alloy is more suitable for industrial and other uses, as it has the highest elastic constants and lowest ultrasonic attenuation in comparison to other of these alloys. The results of this investigation are discussed in correlation with other known thermophysical properties.

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Section: Discussionmentioning

confidence: 99%

Acoustic Wave Propagation in Nanocrystalline RuCo Alloys

Yadawa¹,

Singh²,

Pandey³

et al. 2011

AMPC

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“…4 GPa by a linear interpolation between the systems of Fe and Fe-1C at as concentration of 0.4 wt.%C, 17) b is the length of the Burgers vector (0.248 nm), 18) fj is the volume fraction of precipitate phase j and rj is the average precipitate radius of phase j (TiC and Fe3C). fj and rj are functions of time due to the nucleation and growth of Fe3C-and TiCprecipitates.…”

Section: Modelling the Evolution Of Multiple Hardness Components Durimentioning

confidence: 99%

“…The effective surface energy is calculated according to: 29) ................... (9) where γ is the interface energy between TiC and ferrite (0.339 Jm -2 ), 30) G is the shear modulus of the matrix, b the Burgers vector of the dislocation, v the Poisson's ratio of the matrix (calculated to be 0.286 by same approach as for the value of G) 17) and e T is the relative lattice misfit (6% according to). 30) The driving force for TiC-nucleation, Δgv, is calculated by assuming a dilute solution approximation according to: 9) ........... (10) where is the molar volume of TiC, xTiC,i is the mole fraction of element i in the TiC precipitate, xm,i the mole fraction of element i in the matrix, the equilibrium mole fraction of element i in the matrix at the TiC/Matrix interface and R is the gas constant.…”

Section: Nucleation Of Ticmentioning

confidence: 99%

Modelling the Evolution of Multiple Hardening Mechanisms during Tempering of Fe–C–Mn–Ti Martensite

et al. 2015

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We model the hardness evolution of martensite during tempering as a linear addition of multiple hardening mechanisms that is combined with a microstructural Kampmann-Wagner-Numerical (KWN) model to simulate the nucleation and growth of TiC-precipitates during tempering. The combined model is fitted to the measured hardness evolution during tempering at 300°C and 550°C of martensitic steels with and without the addition of titanium. The model predicts TiC-precipitate sizes in agreement with experimental observations and generates fitting parameters in good agreement with literature. The microstructural components that give the highest contribution to the overall hardness are Fe3C precipitates (88 HV) and dislocations (54 HV). Both Fe3C-and dislocation-strengthening decreases rapidly during the initial stage and stabilise after 10 minutes of tempering. The model shows that the decrease in dislocation density due to recovery is slowed down due to the presence of TiC-precipitates. Titanium atoms in solid solution give a stable hardness contribution (25 HV) throughout the tempering process. TiC-precipitate strengthening generates a minor contribution (3.5 HV). The model shows that less than 1% of the equilibrium volume fraction of TiC-precipitates forms during isothermal tempering at 550°C due to the large misfit strain (1.34 GJ/m 3 ) and a limited density of potential nucleation sites in the martensite. The model shows that the hardness of tempered martensitic steels could potentially be increased by increasing the TiC-precipitate density by reducing the misfit strain.

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“…The misfit parameters, in turn, can be derived from the composition dependent elastic properties of bulk solids. The effect of alloying on the elastic moduli of Fe and Fe-based alloys was studied in several experiments (Ghosh & Olson, 2002;Speich, Schwoeble, & Leslie, 1972;Takeuchi, 1969). Many of those measurements, however, were performed on multiphase samples, and thus the obtained elastic parameters correspond to a mixed phase rather than to a well defined crystal structure and hence give no information about the solid-solution strengthening mechanism within a particular phase.…”

Section: Fundamental Properties 21 Mechanical Propertiesmentioning

confidence: 99%

“…Understanding how the elasticity is affected by alloying provides important information on determining mechanical properties such as fracture, hardness, brittleness, plasticity etc. Due to the limited solubility, many of the experimental measurements of the elastic properties of Fe-based alloys (Ghosh & Olson, 2002;Speich et al, 1972;Takeuchi, 1969) were performed on multiphase samples, and thus the obtained elastic parameters correspond to a mixed phase rather than to a well-defined crystal structure and hence give no information about the solid-solution strengthening mechanism within a particular phase. The situation is even less satisfactory on the theoretical side.…”

Section: Elastic Propertiesmentioning

confidence: 99%