supported by the National Natural Science Foundation of China(NSFC) under Grant no.51071041;the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant no.20110042110017;the Fundamental Research Funds for the Central Universities of China under Grant no.N090505001
Fracture surface features of the AL6XN super-austenitic stainless steel fatigued at different stress amplitudes were observed by SEM and quantitatively analyzed by a fractal method.It was found that the morphologies c...
Extending the effective medium approximation with the fractal theory for describing nanoparticle clusters and their radius distribution, a predictive model is proposed for the effective thermal conductivity of nanopar...
Supported by the National Natural Science Foundation of China(Grant No. 10171028);Natural Science Foundation of Zhejiang (No. 101026)
The critical arc is an arc which is the critical set for some differentiable function not constant along the arc. In literature on the topic, the differentiable functions are always increasing along the arc, but in th...
Project supported by the National Natural Science Foundation of China (Grant No. 69872030), Elitist Young Teacher Foundation of Education Ministry of China (1997) and Shanxi Province Natural Science Foundation(Grant No. 98x08)
Based on the characterization of self-similarity, a new model of the fractal signals with discrete wavelet synthetic formula is obtained, and a formula to calculate the time-average spectrum of the signals constructed...
Project supported by the National Natural Science Foundation of China (Grant No. 69974008), the Postdoctoral Science Foundation of China and the Natural Science Foundation of Liaoning Province (Grant No. 972194).
In order to study the interior structure of the Mandelbrot (M) set, Pickover and Hooper have advanced the epsilon cross method and the star trails method, respectively. In order to reveal the exterior structure of the...
Project supported by the National Fund for Distinguished Young Scholars of China (Grant No. 59425003) and the Poland-China Joint Project (Grant No. 263-04).
The approaches to characterizing the surface topography of a rock joint can be simply grouped into statistical approaches and fractal geometrical approaches. This paper reviews the developments in characterization of ...
Project supported by the Special Funds of Major State Basic Research Projects (Grant No. G19990328) and the National Natural Science Foundation of Zhejiang Province (Grant No. 100002).
The estimate of Hausdorff measure H' (F) of Sierpinski carpet F with Hausdorff dimension s =logS/log3 is derived as Hs(F)≤55102s--864855992=1.089147….
The phenomenon of dielectric breakdown in solid insulators has wide practical uses. Severaltheories, such as the well-known impact-ionization theory, avalanche theory and charge traptheory, have been proposed for this...
Project supported by the National Natural Science Foundation of China.
The fractal percolation model is discussed. A modified model M* is set .up under certain conditions, and a smaller critical probability pc is obtained. Finally, a generalization is made by considering the percolation ...