Abstract
A new stress function is found in this paper and then the problems of cosine pressures on a hollow cylinder are solved with the new stress function, which provides the basis for the solution of the problems of space symmetrical deformation of a hollow cylinder. When the pressures do not vary in the axial direction, that is, when k→0, the lamè formulae can be deduced.
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References
Timoshenko, S. and J. N. Goodier,Theory of Elasticity, 3rd ed., McGraw-Hill Book Co., New York (1970), 39.
Wu Jia-long,Elasticity, 1st ed., Tongji University, Shanghai (1987), 332. (in Chinese)
Qi Zuo-yu, Study on the residual stresses in cold rolls, paper of Master Degree of the Northeast Heavy Machinery Institute (1988). (in Chinese)
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Communicated by Wu Jia-long
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Zhu-bai, L., Zuo-yu, Q. A solution of cosine pressures on a hollow cylinder and the limit when k→0. Appl Math Mech 14, 443–448 (1993). https://doi.org/10.1007/BF02453765
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DOI: https://doi.org/10.1007/BF02453765