Theoretical Investigation on Thermal, Mechanical and Ultrasonic Properties of Zirconium Metal with Pressure
Zirconium (Zr), a metal with an hcp structure, has been investigated for the transmission of acoustic wave in the 0 to 25 GPa operating pressure. For this, the Lennard-Jones interaction potential approach has been used to estimate the higher order elastic coefficients (SOECs and TOECs). This model i...
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2023-09-01
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| Series: | Фізика і хімія твердого тіла |
| Subjects: | |
| Online Access: | https://journals.pnu.edu.ua/index.php/pcss/article/view/6367 |
| _version_ | 1797663410814451712 |
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| author | P. Srivastav A.K. Prajapati P.K. Yadawa |
| author_facet | P. Srivastav A.K. Prajapati P.K. Yadawa |
| author_sort | P. Srivastav |
| collection | DOAJ |
| description | Zirconium (Zr), a metal with an hcp structure, has been investigated for the transmission of acoustic wave in the 0 to 25 GPa operating pressure. For this, the Lennard-Jones interaction potential approach has been used to estimate the higher order elastic coefficients (SOECs and TOECs). This model is used to calculate the 2nd and 3rd order elastic parameters for zirconium metal. With the help of SOECs, other elastic moduli such as bulk modulus (B), Young’s modulus (Y) and shear modulus (G) have been calculated for Zr metal using Voigt-Reuss-Hill (VRH) approximations. Later, applying SOECs as well as zirconium density under the same pressure range, three orientation dependent acoustic velocities, comprising Debye average velocities, have been studied. Basic thermal characteristics such as specific heat at constant volume, thermal conductivity associated with lattice, thermal energy density, thermal relaxation time as well as acoustic coupling coefficients of zirconium metal have been also calculated at same pressure range. The computation is also satisfactory in estimating the ultrasonic attenuation coefficients, arises due to the interaction of phonons, hardness as well as melting temperature under various pressures in this research work. |
| first_indexed | 2024-03-11T19:15:12Z |
| format | Article |
| id | doaj.art-73cb5e248f5d46db9a6cf6e78b8d7ab9 |
| institution | Directory Open Access Journal |
| issn | 1729-4428 2309-8589 |
| language | English |
| last_indexed | 2024-03-11T19:15:12Z |
| publishDate | 2023-09-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Фізика і хімія твердого тіла |
| spelling | doaj.art-73cb5e248f5d46db9a6cf6e78b8d7ab92023-10-09T09:02:38ZengVasyl Stefanyk Precarpathian National UniversityФізика і хімія твердого тіла1729-44282309-85892023-09-0124354955710.15330/pcss.24.3.549-5576367Theoretical Investigation on Thermal, Mechanical and Ultrasonic Properties of Zirconium Metal with PressureP. Srivastav0A.K. Prajapati1P.K. Yadawa2Veer Bahadur Singh Purvanchal University, Jaunpur, IndiaVeer Bahadur Singh Purvanchal University, Jaunpur, IndiaVeer Bahadur Singh Purvanchal University, Jaunpur, IndiaZirconium (Zr), a metal with an hcp structure, has been investigated for the transmission of acoustic wave in the 0 to 25 GPa operating pressure. For this, the Lennard-Jones interaction potential approach has been used to estimate the higher order elastic coefficients (SOECs and TOECs). This model is used to calculate the 2nd and 3rd order elastic parameters for zirconium metal. With the help of SOECs, other elastic moduli such as bulk modulus (B), Young’s modulus (Y) and shear modulus (G) have been calculated for Zr metal using Voigt-Reuss-Hill (VRH) approximations. Later, applying SOECs as well as zirconium density under the same pressure range, three orientation dependent acoustic velocities, comprising Debye average velocities, have been studied. Basic thermal characteristics such as specific heat at constant volume, thermal conductivity associated with lattice, thermal energy density, thermal relaxation time as well as acoustic coupling coefficients of zirconium metal have been also calculated at same pressure range. The computation is also satisfactory in estimating the ultrasonic attenuation coefficients, arises due to the interaction of phonons, hardness as well as melting temperature under various pressures in this research work.https://journals.pnu.edu.ua/index.php/pcss/article/view/6367ultrasonic propertieselastic constantsthermo-physical characteristicsthermal conductivity |
| spellingShingle | P. Srivastav A.K. Prajapati P.K. Yadawa Theoretical Investigation on Thermal, Mechanical and Ultrasonic Properties of Zirconium Metal with Pressure Фізика і хімія твердого тіла ultrasonic properties elastic constants thermo-physical characteristics thermal conductivity |
| title | Theoretical Investigation on Thermal, Mechanical and Ultrasonic Properties of Zirconium Metal with Pressure |
| title_full | Theoretical Investigation on Thermal, Mechanical and Ultrasonic Properties of Zirconium Metal with Pressure |
| title_fullStr | Theoretical Investigation on Thermal, Mechanical and Ultrasonic Properties of Zirconium Metal with Pressure |
| title_full_unstemmed | Theoretical Investigation on Thermal, Mechanical and Ultrasonic Properties of Zirconium Metal with Pressure |
| title_short | Theoretical Investigation on Thermal, Mechanical and Ultrasonic Properties of Zirconium Metal with Pressure |
| title_sort | theoretical investigation on thermal mechanical and ultrasonic properties of zirconium metal with pressure |
| topic | ultrasonic properties elastic constants thermo-physical characteristics thermal conductivity |
| url | https://journals.pnu.edu.ua/index.php/pcss/article/view/6367 |
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