文献类型：期刊文献

英文题名：Shakedown analysis of bounded kinematic hardening engineering structures under complex cyclic loads: Theoretical aspects and a direct approach

作者：Peng, Heng[1];Liu, Yinghua[2];Chen, Haofeng[3,4];Zhang, Zhengming[1]

机构：[1]Tsinghua Univ, Inst Nucl & New Energy Technol, Beijing 100084, Peoples R China;[2]Tsinghua Univ, Dept Engn Mech, AML, Beijing 100084, Peoples R China;[3]East China Univ Sci & Technol, Sch Mech & Power Engn, Shanghai 200237, Peoples R China;[4]Univ Strathclyde, Dept Mech & Aerosp Engn, Glasgow G1 1XJ, Lanark, Scotland

年份：2022

卷号：256

外文期刊名：ENGINEERING STRUCTURES

收录：;EI(收录号：20220811690227);WOS:【SCI-EXPANDED(收录号:WOS:000772609700004)】；

基金：Acknowledgments The authors are grateful for the supports provided by the National Major Natural Science and Technology Projects of China (12090030) and the National Natural Science Foundation of China (Grant No. 52150710540) .

语种：英文

外文关键词：Elastic-plastic structure; Static shakedown; Cyclic loading; Bounded kinematic hardening; Direct approach

摘要：There exist two basic formulations of static shakedown theorem for bounded kinematic hardening (KH) model in literature. Whether the two formulations are equivalent, whether the conditions of loading-path-independence are satisfied, and how to employ the shakedown theorem to obtain the safety margin of realistic engineering structures under cyclic loading are some key issues to be solved and addressed. This paper presents theoretical aspects of the static shakedown theorem of KH and proposes a direct approach for shakedown analysis of KH structures. The presented direct approach allows for both the two shakedown formulations and considers the simultaneous influences of multiple load vertices. The two formulations are suitable for plastic models with different hardening laws and determine different shakedown load boundaries in the region of incremental collapse. Instead of dealing with a complicated problem of mathematical programming, the presented approach performs several linear elastic finite element iterative calculations, which ensures its high computational efficiency. Furthermore, the direct approach is implemented into Abaqus software platform so that it becomes a general tool to handle large-scale shakedown problems of engineering structures with complex geometry and loading conditions. An illustrative sample with analytical solution and three numerical examples from power plant engineering are adopted to validate these theoretical aspects and to present the potential of the direct approach.