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Partially plastic thick-walled tubes
Authors:CW MacGregor  JC Fisher
Institution:1. Professor of Applied Mechanics, Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts, USA;2. Assistant Professor of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts, USA;3. Instructor, Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts, USA
Abstract:A theory is presented for the partial plastic yielding of thick-walled cylindrical tubes acted upon by any combination of internal pressure, external pressure and end load when the material follows an arbitrary stress-strain law. The solution combines (a) the distortion energy theory of plastic flow and (b) the effects of elastic compressibility of the plastic material.Numerical values for stresses and strains are given for certain special cases of internal pressure in thick-walled open-ended tubes for an idealized stress-strain law, and the results are compared with earlier approximate theories.
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