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M.H. Elahmar, H. Rached, D. Rached, S. Benalia, R. Khenata, Z.E. Biskri and S. Bin Omran

because they are closely related to various fundamental solid-state phenomena, such as interatomic bonding, equations of state and phonon spectra. Elastic properties are also linked thermodynamically with specific heat, thermal expansion, Debye temperature, and the Grüneisen parameter. Most importantly, knowledge of the elastic constants is essential for many practical applications related to the mechanical properties of a solid. The elastic constants C ij are the proportionality coefficients relating the applied strain ∊ i to the stress σ i , where σ i = C ij ∊ i