Young’s modulus surface and Poisson’s ratio curve for tetragonal crystals

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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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