Coupled systems mechanics

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Residual stress in an elastoplastic annular disc interacting with an elastic inclusion

  • Zarandi, Somayeh Bagherinejad (Department of Civil Engineering, National Cheng Kung University) ;
  • Lai, Hsiang-Wei (Department of Civil Engineering, National Cheng Kung University) ;
  • Wang, Yun-Che (Department of Civil Engineering, National Cheng Kung University) ;
  • Aizikovich, Sergey M. (Research and Education Center "Materials", Don State Technical University and Vorovich Research Institute of Mechanics and Applied Mathematics, Southern Federation University)
  • Received : 2019.03.22
  • Accepted : 2019.04.13
  • Published : 2019.06.25
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Abstract

Elastoplastic analysis of an annular disc, being fully constrained on its outer rim and interacting with a purely elastic inclusion perfectly bonded with its inner rim, is conducted to study its plastic deformation and residual stress under thermal cycles. The system is termed the composite disc. Quasi-static plane-strain deformation is assumed, and the von Mises yield criterion with or without the Ludwik hardening rule is adopted in our finite element calculations. Effects of multiple material properties simultaneously being temperature dependent on the plastic behavior of the composite disc are considered. Residual stress is analyzed from a complete loading and unloading cycle. Results are discussed for various inclusion radii. It is found that when temperature dependent material properties are considered, the maximum residual stress may be greater than the maximum stress inside the disc at the temperature-loaded state due to lower temperature having larger yield stress. Temperature independent material properties overestimate stresses inside materials, as well as the elastic irreversible temperature and plastic collapse temperature.

Keywords

Acknowledgement

Supported by : Taiwan Ministry of Science and Technology

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