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Young's modulus surface and Poisson's ratio curve for tetragonal crystals
张建民, 张 研, 徐可为, Ji Vincent
2008 (5):
1565-1573.
doi: 10.1088/1674-1056/17/5/006
摘要
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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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