| Young＇s modulus surface and Poisson＇s ratio curve for tetragonal crystals |
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| 引用本文： | 张建民,张 研,徐可为,Ji Vincent.Young＇s modulus surface and Poisson＇s ratio curve for tetragonal crystals[J].中国物理 B,2008,17(5):1565-1573. |
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| 作者姓名： | 张建民 张 研 徐可为 Ji Vincent |
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| 作者单位： | College of Physics and Information Technology,
Shaanxi
Normal University, Xi'an 710062, China;College of Physics and Information Technology,
Shaanxi
Normal University, Xi'an 710062, China;State Key Laboratory for Mechanical Behavior of
Materials, Xi'an Jiaotong University, Xi'an 710049, China;ICMMO/LEMHE UMR CNRS 8182, Universit'e Paris-Sud
11, 91405 Orsay Cedex, France |
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| 基金项目： | 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). |
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| 摘 要： | This paper gives the general expressions for the compliance s′ijkl, Young＇s modulus E（hkl） and Poisson＇s ratio v（hkl, θ） 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 θ deviated from the reference directions 001^-], 100], 001^-], 101^-] and 112^-] equals v（100, θ）, v（001, θ）, v（110,θ）, v（101,θ） and v（111, θ） 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.
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| 关 键 词： | 四方晶系晶体 弹性 杨氏模量 泊松比 |
| 收稿时间： | 2007-07-26 |
| 修稿时间： | 9/2/2007 12:00:00 AM |
Young's modulus surface and Poisson's ratio curve for tetragonal crystals |
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| Zhang Jian-Min,Zhang Yan,Xu Ke-Wei and Ji Vincent.Young''s modulus surface and Poisson''s ratio curve for tetragonal crystals[J].Chinese Physics B,2008,17(5):1565-1573. |
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| Authors: | Zhang Jian-Min Zhang Yan Xu Ke-Wei and Ji Vincent |
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| Institution: | College of Physics and Information Technology,
Shaanxi
Normal University, Xi'an 710062, China; ICMMO/LEMHE UMR CNRS 8182, Universit'e Paris-Sud
11, 91405 Orsay Cedex, France; State Key Laboratory for Mechanical Behavior of
Materials, Xi'an Jiaotong University, Xi'an 710049, China |
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| Abstract: | This paper gives the general expressions for the compliance
s' ijkl , Young's modulus E(hkl) and Poisson's ratio
\upsilon (hkl,θ ) 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 θ deviated from the reference directions
00\overline 1 ], 100], 00\overline 1 ], 10\overline 1 ]
and 11\overline 2 ] equals \upsilon (100,θ ), \upsilon
(001,θ ), \upsilon (110,θ ), \upsilon (101,θ )
and \upsilon (111,θ ) 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. |
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| Keywords: | tetragonal crystals elastic
properties representation surfaces representation curves |
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