J. Mater. Sci. Technol. ›› 1997, Vol. 13 ›› Issue (6): 495-498.

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Fractal Microstructure of Fracture Surfaces and Fracture Energy of Metals

Duanwen SH; Jian JIANG and Chiwei LUNG(International Centre for Materials Physics, Institute of Metal Research, Chinese Academy of Sciences,Shenyang 110015, China)HaoZhe LIU ;Taiping LOU and Hongbo LIU(State Key Laboratory for RSA, Institute of Metal Rese   

  • 收稿日期:1997-11-28 修回日期:1997-11-28 出版日期:1997-11-28 发布日期:2009-10-10

Fractal Microstructure of Fracture Surfaces and Fracture Energy of Metals

Duanwen SH; Jian JIANG and Chiwei LUNG(International Centre for Materials Physics, Institute of Metal Research, Chinese Academy of Sciences,Shenyang 110015, China)HaoZhe LIU ;Taiping LOU and Hongbo LIU(State Key Laboratory for RSA, Institute of Metal Rese   

  • Received:1997-11-28 Revised:1997-11-28 Online:1997-11-28 Published:2009-10-10

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摘要： 1.IniroductionWhellapieceofmetalisfractured,thefracturesurfaceformedisroughandirregular.AfterMan-delbroteta1.,spioneeringworkl1],ithasbeenclaimedthatfracturesurfacesarefractalinnatureoverawiderangeofscaleandthatthefractaldimensionsofthesurfacescorrelatewellwiththetoughnessofthematesrials.Thefracturesurfacesaresupposedtobestatis-ticallyselfsimilarandtlieroughnessofthefracturesurfacescanbewellc....

Abstract: Using a fractat model, we give a new interpretation of the reversed sigmoidal curves of fracture surface profile length obtained in some experiments. It is pointed out that a single parameter (fractal dimension D) is not sufficient to characterize a fractal curve completely. It is shown that the initiator length L0 is also important to characterize a fractal curve. We have derived a formula which correlate the fracture energy with the fractal parameters of the fracture surfaces and analyzed some experimental data.