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Suggestion of a new definition of angular strain

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Abstract

A new definition of angular strain is put forward in this paper. Analogous to the definition of linear strain, angular strain is also defined as a rate of change (of angular displacement). It is verified that the new definition is equivalent to the original besides being more convenient for geometrical interpretations. Using this new definition we have deduced the transformation formulas for rotation of coordinate axes, established the strain tensor and proved the Hooke's law for shearing.

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References

  1. Chien Wei-zang and Yeh Kai-yuan, Theory of Elasticity, (1980). (in Chinese)

  2. Yang Gui-tong, Theory of Elasticity and Plasticity, (1981). (in Chinese)

  3. Xu Zhi-lun, Theory of Elasticity, Part 1, (1979). (in Chinese)

  4. Timoshenko, S. and J. N. Goodier, Theory of Elasticity, (1951).

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Authors and Affiliations

  1. Tianjin University, Tianjin, China

    Yan Zong-da

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  1. Yan Zong-da
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Communicated by Hsueh Dah-wei.

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Zong-da, Y. Suggestion of a new definition of angular strain. Appl Math Mech 5, 1083–1090 (1984). https://doi.org/10.1007/BF01875895

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  • DOI: https://doi.org/10.1007/BF01875895

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