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Limit Loads of Thick-Walled Cylinders with a Fully-Circumferential Crack under Combined Internal Pressure and Axial Tension Based on Slip-Line Field Method

Gangsi Cai, Zengliang Gao, Liang Lihua, Yuebao Lei

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Abstract

Based on slip-line field method,limit load solutions for thick-walled cylinders without defects and with a fully-circumferential inner crack under combined internal pressure and axial tension are derived,considering the elastic-perfectly-plastic material model.Numerical examples show that the solutions in this paper for the cylinder with inner crack agree well with the results of the elastic perfectly-plastic finite element analysis,and are conservative.For cylinder with inner crack,its limit load solution based on simplified slip-line field is only applicable for the very deep cracks.For other cases,the limit loads based on Mises crite-rion is proposed instead.

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What this paper is about

Based on slip-line field method,limit load solutions for thick-walled cylinders without defects and with a fully-circumferential inner crack under combined internal pressure and axial tension are derived,considering the elastic-perfectly-plastic material model.Numerical examples show that the solutions in this paper for the cylinder with inner crack agree well with the results of the elastic perfectly-plastic finite element analysis,and are conservative.For cylinder with inner crack,its limit load solution based on simplified slip-line field is only applicable for the very deep cracks.For other cases,the limit loads based on Mises crite-rion is proposed instead.

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Available abstract

Based on slip-line field method,limit load solutions for thick-walled cylinders without defects and with a fully-circumferential inner crack under combined internal pressure and axial tension are derived,considering the elastic-perfectly-plastic material model.Numerical examples show that the solutions in this paper for the cylinder with inner crack agree well with the results of the elastic perfectly-plastic finite element analysis,and are conservative.For cylinder with inner crack,its limit load solution based on simplified slip-line field is only applicable for the very deep cracks.For other cases,the limit loads based on Mises crite-rion is proposed instead.

Key concepts: Limit load, Internal pressure, Slip (aerodynamics), Finite element method, Structural engineering, von Mises yield criterion, Materials science, Mechanics

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Limit Loads of Thick-Walled Cylinders with a Fully-Circumferential Crack under Combined Internal Pressure and Axial Tension Based on Slip-Line Field Method — Research Paper | ScholarLens