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Shakedown criterion employing actual residual stress field and its application in numerical shakedown analysis

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Abstract

Construction of the static admissible residual stress field and searching the optimal field are key tasks in the shakedown analysis methods applying the static theorem. These methods always meet dimension obstacles when dealing with complex problems. In this paper, a novel shakedown criterion is proposed employing actual residual stress field based on the static shakedown theorem. The actual residual stress field used here is produced under a specified load path, which is a sequence of proportional loading and unloading from zero to all the vertices of the given load domain. This ensures that the shakedown behavior in the whole load domain can be determined based on the theorem proposed by König. The shakedown criterion is then implemented in numerical shakedown analysis. The actual residual stress fields are calculated by incremental finite element elastic-plastic analysis technique for finite deformation under the specified load path with different load levels. The shakedown behavior and the shakedown limit load are determined according to the proposed criterion. The validation of the criterion is performed by a benchmark shakedown example, which is a square plate with a central hole under biaxial loading. The results are consistent with existing results in the literatures and are validated by full cyclic elastic-plastic finite element analysis. The numerical shakedown analysis applying the proposed criterion avoids processing dimension obstacles and performing full cyclic elastic-plastic analysis under arbitrary load paths which should be accounted for appearing. The effect of material model and geometric changes on shakedown behavior can be considered conveniently.

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Authors and Affiliations

  1. Key Laboratory of Advanced Forging & Stamping Technology and Science of Ministry of Education, Yanshan University, Qinhuangdao, 066004, China

    Zongyuan Zou, Baofeng Guo, Miao Jin & Shiyan Zhao

  2. Chinese 91315 People’s Liberation Army Troops, Qinhuangdao, China

    Yinxiao Li

Authors
  1. Zongyuan Zou
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  2. Baofeng Guo
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  3. Yinxiao Li
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  4. Miao Jin
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  5. Shiyan Zhao
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Corresponding author

Correspondence to Miao Jin.

Additional information

Supported by National Science and Technology Major Project of China (Grant No. 2013ZX04003031), National Natural Science Foundation of China (Grant No. 51475408), Hebei Provincial College Innovation Team Leader Training Program of China (Grant No. LJRC012), and Hebei Provincial Natural Science Foundation of China (Grant No. E2012203045)

ZOU Zongyuan, born in 1986, is currently a PhD candidate at Key Laboratory of Advanced Forging & Stamping Technology and Science of Ministry of Education, Yanshan University, China. She received her bachelor degree from Yanshan University, China, in 2009. Her main research interest is strength analysis for the frame of hydraulic press.

GUO Baofeng, born in 1958, is currently a professor at Yanshan University, China. He received his PhD degree from Yanshan University, China, in 2001. His research interests include analysis and design for the frame of hydraulic press and stamping process.

LI Yinxiao, born in 1985, is currently an assistant engineer at Chinese 91315 People's Liberation Army Troops, PR China. He received his bachelor’s degree from Yanshan University, China, in 2009.

JIN Miao, born in 1968, is currently a professor at Yanshan University, China. He received his PhD degree from Yanshan University, China, in 2000. His research interests include analysis and design for the frame of hydraulic press and forging process.

ZHAO Shiyan, born in 1978, is currently an associate professor at Yanshan University, China. He received his PhD degree from Yanshan University, China, in 2009. His research interests include analysis and design for the frame of hydraulic press.

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Zou, Z., Guo, B., Li, Y. et al. Shakedown criterion employing actual residual stress field and its application in numerical shakedown analysis. Chin. J. Mech. Eng. 28, 919–927 (2015). https://doi.org/10.3901/CJME.2015.0727.102

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  • DOI: https://doi.org/10.3901/CJME.2015.0727.102

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