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Acta Mechanica Solida Sinica

, Volume 22, Issue 2, pp 95–108 | Cite as

Analysis of shakedown of FG Bree plate subjected to coupled thermal-mechanical loadings

  • Xianghe Peng
  • Ning Hu
  • Hengwei Zheng
  • Cuirong Fang
Article

Abstract

The static and kinematic shakedown of a functionally graded (FG) Bree plate is analyzed. The plate is subjected to coupled constant mechanical load and cyclically varying temperature. The material is assumed linearly elastic and nonlinear isotropic hardening with elastic modulus, yield strength and the thermal expansion coefficient varying exponentially through the thickness of the plate. The boundaries between the shakedown area and the areas of elasticity, incremental collapse and reversed plasticity are determined, respectively. The shakedown of the counterpart made of homogeneous material with average material properties is also analyzed. The comparison between the results obtained in the two cases exhibits distinct qualitative and quantitative difference, indicating the importance of shakedown analysis for FG structures. Since FG structures are usually used in the cases where severe coupled cyclic thermal and mechanical loadings are applied, the approach developed and the results obtained are significant for the analysis and design of such kind of structures.

Key words

functionally graded material the Bree plate coupled thermal-mechanical loading shakedown 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2009

Authors and Affiliations

  • Xianghe Peng
    • 1
  • Ning Hu
    • 1
    • 2
  • Hengwei Zheng
    • 1
  • Cuirong Fang
    • 1
  1. 1.Department of Engineering MechanicsChongqing UniversityChongqingChina
  2. 2.Department of Mechanical EngineeringChiba UniversityChibaJapan

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