A Numerical Procedure for Shakedown Analysis of Thick Cylindrical Vessels with Crossholes under Dual Cyclic Loadings

Author:

Chen Yangxi1,Jin Xin2,Guo Yan3,Zhao Jian45,Guo Sujuan15

Affiliation:

1. Key Laboratory of Pressure Systems and Safety, Ministry of Education, East China University of Science and Technology, Shanghai 200237, China

2. China Nuclear Power Technology Research Institute Co., Ltd., Shenzhen 518000, China

3. Sino-French Institute of Nuclear Engineering and Technology, Sun Yat-sen University, Guangzhou 510275, China

4. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China

5. Shanghai Institute of Aircraft Mechanics and Control, Shanghai 200092, China

Abstract

A modified numerical procedure for the shakedown analysis of structures under dual cyclic loadings, based on the Abdalla method, is proposed in this paper. Based on the proposed numerical procedure, the shakedown analysis of the thick cylindrical vessels with crossholes (TCVCs) under cyclic internal pressure and cyclic thermal loading was carried out. The effects of material parameters (elastic modulus and thermal expansion coefficient) and crosshole radius on the elastic shakedown limit of TCVCs are discussed and, finally, normalized and formularized. Furthermore, the obtained shakedown limit boundary formulation is compared with FEA results and is verified to evaluate the shakedown behavior of TCVCs under cyclic internal pressure and cyclic thermal loading.

Funder

National Natural Science Foundation of China

Class IV peak disciplines in Shanghai universities

Publisher

MDPI AG

Subject

General Materials Science

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3. Mackenzie, D., Boyle, J.T., and Hamilton, R. (1995, January 23–27). Secondary Stress and Shakedown in Axisymmetric Nozzles. Proceedings of the ASME Pressure Vessels and Piping Conference, Honolulu, HI, USA.

4. Hamilton, R., Boyle, J.T., and Shi, J.H. (1996, January 17–22). Shakedown Loading Bounds by Elastic Finite Element Analysis. Proceedings of the Mechanical Engineering Congress and Exposition, Atlanta, GO, USA.

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