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Acta Metall Sin  1998, Vol. 34 Issue (7): 705-712    DOI:
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THE RELATIONSHIP BETWEEN PLASTIC DISSIPATED ENERGY, FRACTAL DIMENSION AND FATIGUE- LIFETIME OF ZIRCONIUM AND ZIRCALOY-4
XIAO Lin; GU Haicheng(State Key Laboratory for Mechanical Behaviour of Materials; Xi'an Jiaotong Universityl Xi'an 710049)
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XIAO Lin; GU Haicheng(State Key Laboratory for Mechanical Behaviour of Materials; Xi'an Jiaotong Universityl Xi'an 710049). THE RELATIONSHIP BETWEEN PLASTIC DISSIPATED ENERGY, FRACTAL DIMENSION AND FATIGUE- LIFETIME OF ZIRCONIUM AND ZIRCALOY-4. Acta Metall Sin, 1998, 34(7): 705-712.

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Abstract  Low cycle fatigue lifetime curves of zirconium and zircaloy-4 at room temperature and 400 ℃ were measured, respectively. Cyclic plastic dissipated energy and fractal dimension of fracture surfaces are selected as damage variable to evaluate the fatigue lifetime. The accumulated formula of plastic dissipated energy is established on the basis of considering cyclic deformation character of zirconium and zircaloy-4. The test results indicate that the relationship between cyclic plastic dissipated energy and fatigue lifetime fits power law. Fractal analysis of fracture surface shows that the relationship between fractal dimension and fatigue lifetime can be also expressed as power law. An empirical formula describing the relationship between dissipated energy, fractal dimension and fatigue lifetime, D ≈ 0.027 lnN f + 1.099 ≈0.120 lnWpf- 0.025, is obtained, and their physical mechanism is discussed thermodynamically.
Key words:  zirconium      zircaloy-4      cyclic plastic dissipated energy      fatigue lifetime     
Received:  18 July 1998     
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