Analytical Solution of Elastic-Plastic Thick-Walled cylinders with General Hardening,
ARMY ARMAMENT RESEARCH DEVELOPMENT AND ENGINEERING CENTER WATERVLIET NY BENET LABS
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This paper presents an analytical solution for the elastic-plastic behavior of thick-walled cylinders under internal pressure. The general hardening, law employed in this investigation is a piecewise linear representation of arbitrary stress-strain curves in uniaxial form. Closed-form analytical-solutions are developed for the stresses, the elastic and plastic strains, and the displacements by using Trescas yield criterion and its associated flow rule. Experimental data obtained from cylinders made of either SAE 1045 steel OFHC copper, or aluminum alloy 1100 are used to determine the material constants. Numerical results for partially-plastic and fully-plastic cylinders are presented for the radial distributions of plastic hoop strain, radial, and tangential stresses.