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Research on shakedown analysis for functionally graded material plate under thermomechanical loading
Authors:Hengwei Zheng  Xianghe Peng  Kaizhi Huang  Anjie Zheng
Affiliation:1. Department of Mechanics, Chongqing University of Science and Technology, Chongqing, China;2. Department of Engineering Mechanics, Tsinghua University, Beijing, China;3. Department of Special Alloy, Chongqing Material Research Institute, Chongqing, Chinaweiwei11001@126.com;5. Department of Engineering Mechanics, College of Aerospace Engineering, Chongqing University, Chongqing, China
Abstract:Shakedown is an important problem in the design and analysis of functionally graded structures subjected to cyclic, thermal, and mechanical loadings. Subjected to constant mechanical load and cyclic temperature change, static shakedown of a functionally graded material plate and its homogenous counterpart were analyzed in this article with the approach proposed by the authors previously. The functionally graded material plate is composed of an elastoplastic matrix Al and elastic particles SiC, and the particle volume fraction varies through the thickness. The distributions of the effective mechanical and thermal properties of the composites through the thickness are described graded continuously with an exponential law. The results show that a proper and continuously graded distribution of material properties can efficiently improve the shakedown capability of the functionally graded material plate and also show the significance of shakedown analysis and application for functionally graded material plates.
Keywords:Functionally graded material plate  shakedown analysis  thermal–mechanical loading
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