Consequent to the interaction potential model, the high-order elastic constants at high entropy alloys in single-phase quaternary ScTiZrHf have been calculated at different temperatures. Elastic constants of second order (SOECs) helps to determine other ultrasonic parameters. With the help of SOECs other elastic moduli, bulk modulus, shear modulus, Young’s modulus, Pugh’s ratio, elastic stiffness constants and Poisson’s ratio are estimated at room temperature for elastic and mechanical characterization. The other ultrasonic parameters are calculated at room temperature for elastic and mechanical characterization. The temperature variation of ultrasonic velocities along the crystal's z-axis is evaluated using SOECs. The temperature variation of the average debye velocity and the thermal relaxation time (τ) are also estimated along this orientation axis. The ultrasonic properties correlated with elastic, thermal and mechanical properties which is temperature dependent is also discussed. The ultrasonic attenuation due to phonon – phonon (p-p) interactions is also calculated at different temperatures. In the study of ultrasonic attenuation such as a function of temperature, thermal conductivity appears to be main contributor and p- p interactions are the responsible reason of attenuation and found that the mechanical properties of the high entropy alloy ScTiZrHf are superior at room temperature.
The characteristic features of hexagonally Cr2N compound is considered by the theoretical valuation of elastic, mechanical, ultrasonic and thermophysical properties. Initially, the higher order elastic constants (HOECs) of nanostructured Cr2N material are computed using the Lennard-Jones many body interactions potential approach. With the help of the HOECs such as modulus like Young's, bulk and anisotropic parameters are evaluated for elastic and mechanical characterization. Temperature dependent ultrasonic velocities, Debye average velocity and thermal relaxation time are also evaluated along orientation dependent. The ultrasonic attenuation (UA) of longitudinal and shear wave due to phonon-phonon (p-p) interaction and thermoelastic relaxation mechanism are investigated for this thin film. The thermal conductivity is a principal contributor to the behaviour of UA due to p-p interactions. Mechanical and thermal properties of the nanostructured Cr2N are superior at low temperature.
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