Bursting pressure of thick-walled cylinders subjected to internal and external pressures,axial load and torsion |
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Authors: | O M Sidebottom S C Chu |
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Institution: | (1) Department of Theoretical and Applied Mechanics, University of Illinois, 61801 Urbana, IL;(2) Research Directorate, GEN Thomas J. Rodman Laboratory, Rock Island Arsenal, 61201 Rock Island, IL |
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Abstract: | A finite-total-strain, incompressible, analytical solution is presented to predict load-deformation relations for loads from
zero to failure for thick-walled cylinders subjected to internal pressure, external pressure, axial load and torsion. The
solution assumes that the material is an isotropic hardening material that obeys the von Mises yield condition. The flow law
incorporates the prandtl-Reuss stressstrain relations and a loading function represented by the tension true-stress vs. true-strain
diagram. Poisson's ratio is assumed to be equal to one-half for both elastic and plastic strains. The difference between the
strains given by the incompressible solution and the correct strains are calculated for one set of elastic loads; the strains
given by the incompressible solution are then corrected based on the assumption that each correction is proportional to the
increase in the given component of load. Good agreement is indicated between the corrected incompressible solution and data
obtained from cylinders made of either SAE 1045 steel, OFHC copper, or aluminum alloy 1100.
Paper was presented at 1975 SESA Spring Meeting held in Chicago, IL on May 11–16.
This investigation was funded by Rock Island Arsenal and was conducted at Research Directorate, GEN Thomas J. Rodman Laboratory,
under the Laboratory Research Cooperative Program of ARO-D. |
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