The third-order elastic moduli and pressure derivatives for AlRE (RE=Y,Pr, Nd,Tb, Dy,Ce) intermetallics with B2-structure: A first-principles study |
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Authors: | Rui Wang Shaofeng Wang Xiaozhi Wu Yin Yao |
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Institution: | 1. Institute for Solid State Physics RAS, Chernogolovka, Moscow District 142132, Russia;2. Department of General Physics, State Pedagogical University, Lenin St. 86, Voronezh 394043, Russia |
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Abstract: | The third-order elastic moduli and pressure derivatives of the second-order elastic constants of novel B2-type AlRE (RE=Y, Pr, Nd, Tb, Dy, Ce) intermetallics are presented from first-principles calculations. The elastic moduli are obtained from the coefficients of the polynomials from the nonlinear least-squares fitting of the energy–strain functions. The calculated second-order elastic constants of AlRE intermetallics are consistent with the previous calculations. To judge that our computational accuracy is reasonable, the calculated third-order constants of Al are compared with the available experimental data and other theoretical results and are found to have good agreements. In comparison with the theory of the linear elasticity, the third-order effects are very important with the finite strains which are lager than approximately 3.5%. Finally, the pressure derivatives have been discussed. |
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