Zhang Jian-Min et al 2008 Chinese Phys. B 17 1565 doi:10.1088/1674-1056/17/5/006
Young's modulus surface and Poisson's ratio curve for tetragonal crystals
Zhang Jian-Min1, Zhang Yan1, Xu Ke-Wei2 and Ji Vincent3
Show affiliationsThis 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 [00
], [100], [00], [10] and [11
] 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.
- PACS
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68.35.Gy Mechanical properties; surface strains
81.40.Jj Elasticity and anelasticity, stress-strain relations
- Subjects
- Dates
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Issue 5 (May 2008)
Received 26 July 2007, in final form 2 September 2007
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Young's modulus surface and Poisson's ratio curve for tetragonal crystals
Zhang Jian-Min et al 2008 Chinese Phys. B 17 1565
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