Anisotropic elasticity in hexagonal crystals

作者:Zhang, Jian-Min*; Zhang, Yan; Xu, Ke-Wei; Ji, Vincent
来源:Thin Solid Films, 2007, 515(17): 7020-7024.
DOI:10.1016/j.tsf.2007.01.045

摘要

The general expressions for the compliance S'ijkl, Young's modulus E(hkl) and Poisson's ratio v(hko are given for an arbitrary plane (hkl) of hexagonal crystal. The calculations have also been made for 12 hexagonal metals Be, Cd, Co, Hf, Mg, Re, Ru, Sc, Ti, Y, Zr and Zn, and the representation surfaces, for which the radius vector deviated an angle qi from the crystallographic Z-axis is proportional to I/E(hkl) or v(hkl) are constructed. For convenient applications, the expressions of Young's modulus E(hkl) and Poisson's ratio v(hkl) are also given in terms of the Miller indices of the lattice plane (hkl). With these expressions, the X-ray elastic constants (REC) can be obtained readily for a particular plane (hkl) chosen for measurement.