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- W2021197151 abstract "The paper describes the properties and uses of the hodograph of the velocity distribution in an ideal plastic-rigid body undergoing plane plastic deformation. The network in the hodograph plane corresponding to the slip-line field in the physical plane has the same distinctive geometrical properties as a slip-line field. The method, which was first developed by the writer in 1951 to help to solve the problem of strip compression between two smooth parallel dies, assists the solution of mixed boundary value problems; it is useful for checking whether the rate of plastic work is everywhere positive; and it enables rapid graphical calculations to be made of velocity distributions. It is applied to the problem of the compression of a block between rough parallel dies, and Nadai's limiting distribution of velocity is justified. Its use in the solution of problems for which the configuration is geometrically similar at all stages of the deformation is also briefly discussed." @default.
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- W2021197151 date "1954-01-01" @default.
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- W2021197151 title "On the use of hodographs in problems of plane plastic strain" @default.
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- W2021197151 doi "https://doi.org/10.1016/0022-5096(54)90001-0" @default.
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