Shakedown limit loads for elbows under internal pressure and cyclic in-plane bending

Chang Sik Oh; Yun Jae Kim; Chi Yong Park

doi:10.1016/j.ijpvp.2007.11.009

Shakedown limit loads for elbows under internal pressure and cyclic in-plane bending

Chang Sik Oh, Yun Jae Kim, Chi Yong Park

Research output: Contribution to journal › Article › peer-review

35 Citations (Scopus)

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.

Original language	English
Pages (from-to)	394-405
Number of pages	12
Journal	International Journal of Pressure Vessels and Piping
Volume	85
Issue number	6
DOIs	https://doi.org/10.1016/j.ijpvp.2007.11.009
Publication status	Published - 2008 Jun

Bibliographical note

Funding Information:
This research is performed under the program of Basic Atomic Energy Research Institute (BAERI), a part of the Nuclear R&D Programs funded by the Ministry of Science & Technology (MOST) of Korea.

Keywords

Elbows
Finite element analysis
Shakedown limit load

ASJC Scopus subject areas

General Materials Science
Mechanics of Materials
Mechanical Engineering

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10.1016/j.ijpvp.2007.11.009

Cite this

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title = "Shakedown limit loads for elbows under internal pressure and cyclic in-plane bending",

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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AU - Oh, Chang Sik

AU - Kim, Yun Jae

AU - Park, Chi Yong

N1 - Funding Information: This research is performed under the program of Basic Atomic Energy Research Institute (BAERI), a part of the Nuclear R&D Programs funded by the Ministry of Science & Technology (MOST) of Korea.

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Y1 - 2008/6

N2 - 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.

AB - 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.

KW - Elbows

KW - Finite element analysis

KW - Shakedown limit load

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DO - 10.1016/j.ijpvp.2007.11.009

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VL - 85

SP - 394

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JO - International Journal of Pressure Vessels and Piping

JF - International Journal of Pressure Vessels and Piping

IS - 6

ER -

Shakedown limit loads for elbows under internal pressure and cyclic in-plane bending

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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