
Young's modulus surface and Poisson's ratio curve for tetragonal crystals
Zhang JianMin(张建民), Zhang Yan(张研), Xu KeWei(徐可为), and Ji Vincent
Chin. Phys. B, 2008, 17 (5):
15651573.
DOI: 10.1088/16741056/17/5/006
This paper gives the general expressions for the compliance $s'_{ijkl}$, Young's modulus $E(hkl)$ and Poisson's ratio $\upsilon (hkl, \theta)$ along arbitrary loading direction $[hkl]$ for tetragonal crystals. The representation surface for which the length of the radius vector in the $[hkl]$ direction equals $E(hkl)$ and representation curve for which the length of the radius vector with angle $\theta$ deviated from the reference directions $[00\overline{1}]$, [100], $[00\overline{1}]$, $[10\overline{1}$] and $[11\overline{2}]$ equals $\upsilon (100, \theta), \upsilon (001, \theta), \upsilon (110, \theta), \upsilon (101, \theta)$ and $\upsilon (111, \theta)$ respectively, are constructed for nine tetragonal crystals (ammonium dihydrogen arsenate, ammonium dihydrogen phosphate, barium titanate, indium, nickel sulfate, potassium dihydrogen arsenate, potassium dihydrogen phosphate, tin and zircon). The characteristics of them are analysed in detail.
