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On the finite displacement problem of a hollow sphere under internal and external pressures

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Abstract

Taking advantage of successive approximations, the present boundary-value problem is solved. We find the first-order and second-order solutions, and therefore we obtain the formulae in the second approximation for the displacement, strain, and stress fields.

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References

  1. Huang Ze-yan, On the finite displacement problem of a hollow cylinder under internal and external pressures, Applied Mathematics and Mechanics, 5 (1984).

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  2. Chien Wei-zang and Yeh Kai-yuan, Theory of Elasticity, Science Press, Beijing (1956). (in Chinese)

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  3. Saada, A. S., Elasticity: Theory and Applications, Pergamon, New York (1974).

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  4. Sokolnikoff, I. S., Mathematical Theory of Elasticity, 2nd ed., McGraw-Hill, New York (1956).

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Authors and Affiliations

  1. Wuhan College of Geology, Wuhan, China

    Huang Ze-yan

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  1. Huang Ze-yan
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Communicated by Chien Wei-zang

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Ze-yan, H. On the finite displacement problem of a hollow sphere under internal and external pressures. Applied Mathematics and Mechanics 6, 1097–1102 (1985). https://doi.org/10.1007/BF03250508

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  • DOI: https://doi.org/10.1007/BF03250508

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