Acta Mechanica Solida Sinica

, Volume 30, Issue 1, pp 1–9 | Cite as

A new, direct approach toward modeling thermo-coupled fatigue failure behavior of metals and alloys

  • Zhaoling Wang
  • Hao Li
  • Zhengnan Yin
  • Heng Xiao


The objective of this study is two-fold. Firstly, new finite strain elastoplasticity models are proposed from a fresh standpoint to achieve a comprehensive representation of thermomechanical behavior of metals and alloys over the whole deformation range up to failure. As contrasted with the usual elastoplasticity models, such new models of much simpler structure are totally free, in the sense that both the yield condition and the loading—unloading conditions need not be introduced as extrinsic coercive conditions but are automatically incorporated as inherent constitutive features into the models. Furthermore, the new models are shown to be thermodynamically consistent, in a further sense that both the specific entropy function and the Helmholtz free energy function may be presented in explicit forms, such that the thermodynamic restriction stipulated by Clausius—Duhem inequality for the intrinsic dissipation may be identically satisfied. Secondly, it is then demonstrated that the thermo-coupled fatigue failure behavior under combined cyclic changes of stress and temperature may be derived as direct consequences from the new models. This novel result implies that the new model can directly characterize the thermo-coupled fatigue failure behavior of metals and alloys, without involving any usual damage-like variables as well as any ad hoc additional criteria for failure. In particular, numerical examples show that, under cyclic changes of temperature, the fatigue characteristic curve of fatigue life versus temperature amplitude may be obtained for the frst time from model prediction both in the absence and in the presence of stress. Results are in agreement with the salient features of metal fatigue failure.


Thermo-coupled behavior Fatigue failure Finite deformations New elastoplasticity models Direct simulation 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2014

Authors and Affiliations

  • Zhaoling Wang
    • 1
    • 2
  • Hao Li
    • 1
  • Zhengnan Yin
    • 1
  • Heng Xiao
    • 1
  1. 1.Shanghai Institute of Applied Mathematics and Mechanics and State Key Laboratory for Advanced Special SteelsShanghai UniversityShanghaiChina
  2. 2.School of Mathematics and Information SciencesWeifang UniversityWeifangChina

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