Inhomogeneous deformation growth of a metal under cyclic loading and its influence on fatigue

  • Da-Wei Qin
  • J. Woody JuEmail author
  • Ke-Shi Zhang
  • Ze-Shen Li
Original Paper


In this paper, the effects of inhomogeneous material deformation and fatigue caused by meso-mechanical inhomogeneity are investigated. A representative volume element is constructed for pure copper as a material model which features a polycrystalline Voronoi aggregation consisting of a number of crystal grains. The Chaboche model with random parameters is adopted to reflect inhomogeneous cyclic plastic behavior of grains. Key simulations are performed to model the experimental cyclic evolution of strain fatigue under symmetrical tensile–compressive loading. The simulation results show that, although the macroscopic material hysteresis curve keeps stable, the mesoscopic deformations become increasingly inhomogeneous and the statistic differences keep growing. Accordingly, further research on the underlying relation between inhomogeneous deformation and fatigue is conducted, and a systematic methodology to predict the low-cycle fatigue life is revealed.



This research was supported by the National Natural Scientific Foundation of China (Fund Nos. 11632077) and the Guangxi Science Research and Study Abroad Program for Excellent Ph.D. Students of Guangxi Zhuang Autonomous Region (2016). These financial supports are gratefully acknowledged. Further, we are truly grateful to the anonymous reviewer for the outstanding suggestions and guidance during our revision process. Especifically, Eqs. (1)–(3) are kindly guided by the anonymous reviewer.


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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Key Laboratory of Disaster Prevention and Structural Safety, College of Civil and Architectural EngineeringGuangxi UniversityNanningChina
  2. 2.Department of Civil and Environmental EngineeringUniversity of CaliforniaLos AngelesUSA
  3. 3.College of Civil EngineeringShaoxing UniversityShaoxingChina

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