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Young’s Modulus Surface and Poisson’s Ratio Curve for Orthorhombic Crystals

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Abstract

The general expressions for the compliance \( s_{ijkl}^{\prime},\) Young’s modulus E(hkl) and Poisson’s ratio υ(hkl,θ) along arbitrary loading direction are given for orthorhombic crystals. The representation surface for which the length of the radius vector in the normal direction of the (hkl) plane equals to E(hkl) and representation curve for which the length of the radius vector with angle θ deviated from the reference directions \([00\overline{1}], [00\overline{1}], [100], [00\overline{1}], [10\overline{1}]\) and \([01\overline{1}]\) equals to \(\upsilon(100,\theta), \upsilon(010,\theta), \upsilon(001,\theta), \upsilon(110,\theta), \upsilon(101,\theta)\) and \(\upsilon(011,\theta)\) respectively, are constructed for 12 orthorhombic crystals Aragonite, Baryte, Celestite, Iodic acid, Magnesium sulfate, Rochelle salt, Sodium tartrate, Strontium formate, Sulfur, Topaz, α-Uranium and Zinc sulfate.

Index Abstract

Representation surfaces of Young’s modulus for orthorhombic crystals Aragonite. The length of the radius vector in the normal direction of (hkl) plane equals to E(hkl) (in units of 1010 N/m2).

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Acknowledgment

The authors would like to acknowledge the State Key Development for Basic Research of China (Grant No 2004CB619302) for providing financial support for this research.

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Authors and Affiliations

  1. College of Physics and Information Technology, Shaanxi Normal University, Xian, 710062, Shaanxi, People’s Republic of China

    Jian-Min Zhang & Yan Zhang

  2. State Key Laboratory for Mechanical Behavior of Materials, Xian Jiaotong University, Xian, 710049, Shaanxi, People’s Republic of China

    Ke-Wei Xu

  3. ICMMO/LEMHE UMR 8182, Université Paris-Sud 11, Orsay Cedex, 91405, France

    Vincent Ji

Authors
  1. Jian-Min Zhang
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  2. Yan Zhang
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  3. Ke-Wei Xu
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  4. Vincent Ji
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Correspondence to Jian-Min Zhang.

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Zhang, JM., Zhang, Y., Xu, KW. et al. Young’s Modulus Surface and Poisson’s Ratio Curve for Orthorhombic Crystals. J Chem Crystallogr 38, 733–741 (2008). https://doi.org/10.1007/s10870-008-9370-6

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  • DOI: https://doi.org/10.1007/s10870-008-9370-6

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