Young's modulus surface and Poisson's ratio curve for tetragonal crystals
Zhang Jian-Min(张建民)a)†, Zhang Yan(张研)a), Xu Ke-Wei(徐可为)b), and Ji Vincentc)
a College of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China; bState Key Laboratory for Mechanical Behavior of Materials, Xi'an Jiaotong University, Xi'an 710049, China; cICMMO/LEMHE UMR CNRS 8182, Universit'e Paris-Sud 11, 91405 Orsay Cedex, France
Abstract 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.
Received: 26 July 2007
Revised: 02 September 2007
Accepted manuscript online:
(Elasticity and anelasticity, stress-strain relations)
Fund: Project supported by the State Key
Development Program for Basic Research of China (Grant No
2004CB619302) and the National Natural
Science Foundation of China (Grant No 50271038).
Cite this article:
Zhang Jian-Min(张建民), Zhang Yan(张研), Xu Ke-Wei(徐可为), and Ji Vincent Young's modulus surface and Poisson's ratio curve for tetragonal crystals 2008 Chin. Phys. B 17 1565
Elastic properties of CaCO3 high pressure phases from first principles Dan Huang(黄丹), Hong Liu(刘红), Ming-Qiang Hou(侯明强), Meng-Yu Xie(谢梦雨), Ya-Fei Lu(鹿亚飞), Lei Liu(刘雷), Li Yi(易丽), Yue-Ju Cui(崔月菊), Ying Li(李营), Li-Wei Deng(邓力维), Jian-Guo Du(杜建国). Chin. Phys. B, 2017, 26(8): 089101.
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
