Shakedown limit loads for elbows under internal pressure and cyclic in-plane bending |
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Authors: | Chang-Sik Oh Yun-Jae Kim Chi-Yong Park |
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Affiliation: | 1. Department of Mechanical Engineering, Korea University, 1-5 Ka, Anam-Dong, Sungbuk-Ku, Seoul 136-701, Republic of Korea;2. Korea Electric Power Research Institute, Yusung-gu, Daejon 305-380, Republic of Korea |
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Abstract: | This paper presents elastic, shakedown and plastic limit loads for 90° elbows under constant internal pressure and cyclic in-plane bending, via finite element (FE) analysis. Effects of the elbow geometry (the bend radius to mean radius ratio and the mean radius-to-thickness ratio) and of the large geometry change are systematically investigated. By normalizing the in-plane bending moment by the plastic limit load solution of Calladine, the shakedown diagram is found to be close to unity up to a certain value of normalized pressure (normalized with respect to the limit pressure) and then to decrease almost linearly with increasing normalized pressure. The value up to which shakedown limit loads remain constant depends on the elbow geometry and the large geometry change effect. Effects of the elbow geometry and the large geometry change on shakedown diagrams are discussed. |
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Keywords: | Elbows Finite element analysis Shakedown limit load |
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