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Dynamical equations of various types for finite deformable polar elastic media

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Abstract

In the present paper, some additional new definitions on the kinematics and dynamics are introduced, and the dynamical equations of Boussineq type, Kirchhoff type, Signorini type and Nowozilov type for finite deformable polar elastic media are systematically derived from the consideration of Euler angles as angular coordinates and the dynamical equations of Cauchy type presented by Dluzewski.

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References

  1. Guo Zhongheng. Nonlinear Theory of Elasticity, Science Press, Beijing (1980) (in Chinese)

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  2. P. H. Dluzewshi, Finite deformations of polar elastic media, Int. J. Solids Structures, 30, 16 (1993), 2277–2285.

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Project supported by the National Natural Science Foundation of China and the Rearch Foundation of Liaoning Province

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Tianmin, D. Dynamical equations of various types for finite deformable polar elastic media. Appl Math Mech 18, 921–925 (1997). https://doi.org/10.1007/BF00189282

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  • DOI: https://doi.org/10.1007/BF00189282

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