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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2012, Vol. 33 ›› Issue (7): 1329-1335.

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A Rate Dependent Constitutive Model Based on the Microstructure Evolution

LIU Baosheng, LANG Lihui, YANG Xiying, DU Pingmei, CAI Gaocan   

  1. School of Mechanical Science and Automation, Beihang University, Beijing 100191, China
  • Received:2011-09-22 Revised:2011-11-08 Online:2012-07-25 Published:2012-07-24
  • Supported by:
    National Natural Science Foundation of China (50975014); Funds for International Cooperation and Exchange of the National Natural Science Foundation of China (Sino-Russia) (51010166)

Abstract: For establishing the relation of microstructure evolution and macro-performance in the plastic deformation, a rate dependent flow stress equation is derived based on the rate diffusion potential density which takes into consideration the influence of temperature. The Chaboche’s nonlinear isotropic hardening criterion is modified to consider the influence of dislocation density on hardening. The evolution of dislocation density is modeled by using dislocation density as the internal state variable. A rate dependent constitutive model is proposed based on the mechanism of microstructure evolution. The material constants in the model are determined based on the single tension experimental data of Ti-6Al-4V by using the genetic algorithms. The comparison of calculation results and experimental data shows that the maximum errors of stress and grain size do not exceed 12% and 4% respectively. Thus, the validity of the model is verified.

Key words: constitutive models, rate dependence, dislocation density, evolution, genetic algorithms

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