A technique for elastic-plastic analysis of a thick-walled elastic-plastic cylinder under internal pressure is proposed. It involves two parametric functions and piecewise linearization of the stress-strain curve. A deformation type of relationship is combined with Hooke’s law in such a way that stress-strain law has the same form in all linear segments, but each segment involves different material parameters. Elastic values are used to describe elastic part of deformation during loading and also during unloading. The technique involves the use of deformed geometry to satisfy the boundary and other relevant conditions. The value of strain energy required for deformation is found to depend on whether initial or final geometry is used to satisfy the boundary conditions. In the case of low work-hardening solid, the difference is significant and cannot be ignored. As well, it is shown that the new formulation is appropriate for elastic-plastic fracture calculations.
On Thick-Walled Cylinder Under Internal Pressure
Contributed by the Pressure Vessels and Piping Division for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received by the PVP Division March 13, 2003; revision received May 6, 2003. Associate Editor: M. Perl.
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Zhao, W., Seshadri, R., and Dubey, R. N. (August 1, 2003). "On Thick-Walled Cylinder Under Internal Pressure ." ASME. J. Pressure Vessel Technol. August 2003; 125(3): 267–273. https://doi.org/10.1115/1.1593082
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