Three-dimensional axisymmetric flow in perfectly plastic metals |
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Authors: | Henry Vaughan Huang Zhuping |
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Institution: | (1) University of British Columbia, V6T 1W5 Vancouver, Canada;(2) Peking University, 100871 Beijing, China |
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Abstract: | A method is presented for solving the three-dimensional axisymmetric field equations for a perfectly plastic material which
obeys the von-Mises yield criterion and the Levy-Mises flow law. The method is used for the particular case in which a small
axisymmetric perturbed flow is superposed on a uniform flow without flow reversal taking place. The method then leads to solving
a fourth order differential equation for the velocity potential. The special case of a thick cylindrical shell under compressive
flow is examined. The solution so obtained, being derived, from the three dimensional theory, includes a correct treatment
of transverse shear distortion. A preferred mode of instability is identified having a wave-length in reasonable agreement
with that obtained experimentally by other workers. |
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Keywords: | plastic buckling preferred mode of instability moderately thick cylindrical shell |
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