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富氏谱分析在断口定量研究中的应用
郝遥
学位类型硕士
导师王中光
1991
学位授予单位中国科学院金属研究所
学位授予地点中国科学院金属研究所
摘要本文用富氏谱分析方法研究了45#碳素结构钢的沿晶断口和工业纯铝的疲劳断口,计算了断口的功率谱和相关函数,并将其与材料的性能作了比较。结果表明经富里叶变换后求得的功率密度与材料的断裂能有关,是衡量断口表面能的一个参数。无论是沿晶断口还是疲劳断口,相关分析都发现,在与晶粒尺寸相适应的放大倍数下相关函数的相关长度与材料的晶粒尺寸对应,而且对于沿晶断口还发现由二次电子线扫描得到的结果与垂直部面线法计算的结果一致。本文对上述两种断口的功率谱峰进行了幂指数G(K) = c.k~(-n)拟合,求得指数n,对于沿晶断口n的变化与剖面线的分形维数变化一致,是表面粗糙度的敏感参数。对于疲劳断口,n可以反映裂纹扩展速率的变化。研究结果表明富氏谱分析法在断口定量分析中是一种有效的方法。
其他摘要The Fourier transform method was used to quantitatively analyze an intergranular fracture surface in 45# steel and a fatigue fracture surface in commercial aluminum. It was found that there is a direct correspondence between the Fourier spectrum of the profile and the microstructure features. Utilization of the secondary electron line scanning facilitated the analysis of the fracture surface in this case. The results of the analysis showed that the autocorrelation length can be related to the average grain size. For the 45# steel, the power intensity corresponds to the impact energy of the fracture surface. Through autocorrelation analysis of the fatigue striations, the salient character of the surface morphology at high magnification, the local crack propagation rate can be deduced. The superiority of the correlation analysis method over the ordinary method (by measuring the striation distance) is obvious especially for those fracture surfaces without apparent striations. From the power spectrum function, the energy spectra of the secondary electron scanning line show an inverse relationship between the power amplitude G(k) and wave number k. A parameter n was indexed by curvefitting the power spectrum peaks in the function G(k) = c.k~(-n). It was found that for the brittle intergranular fracture surface the exponent n changes in the same trend of the fractal dimension of the fracture surface and for the fatigue fracture surface n stands in a close relation to the crack propagation rate. The study shows that Fourier transform method is feasible in quantitative analysis of the fracture surface.
页数66
语种中文
文献类型学位论文
条目标识符http://ir.imr.ac.cn/handle/321006/17520
专题中国科学院金属研究所
推荐引用方式
GB/T 7714
郝遥. 富氏谱分析在断口定量研究中的应用[D]. 中国科学院金属研究所. 中国科学院金属研究所,1991.
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