Citation: | Xie Heping, Feng Zhigang, Chen Zhida. On Star Product Fractal Surfaces and Their Dimensions[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1101-1106. |
[1] |
谢和平,陈至达.分形几何与岩石断裂[J].力学学报,1988,20(3):264~275.
|
[2] |
Mandelbrot B B,et al.Fractal character of fracture surfaces of metals[J].Nature,1984,308:721~723.
|
[3] |
Pande C S,et al.Fractal characterization of fracture surfaces[J].Acta Metall,1987,35(7):1633~1637.
|
[4] |
Falconer K J.分形几何——数学基础及其应用[M].谢和平等编译.重庆:重庆大学出版社,1991.
|
[5] |
Borodich F M.Some fractal models of fracture[J].J Mech Phys Solids,1997,45(2):239~259.
|
[6] |
Massopust P R.Fractal Functions,Fractal Surfaces and Wavelets[M].San Diego,California:Academic Press,1994.
|
[7] |
Xie Heping,et al.Direct fractal measurement of fracture surfaces[J].International Journal of Solids and Structures,1999,36:3073~3084.
|
[1] | PENG Yi, ZHANG Zhengqi, LI Qiang, YANG Guangwei. A Random Forest Evaluation Model for Pavement Skid Resistance Based on Comprehensive Fractal[J]. Applied Mathematics and Mechanics, 2024, 45(4): 443-457. doi: 10.21656/1000-0887.440244 |
[2] | GAO Weiye, ZHANG Sai, ZHANG Jie, HU Shiwang, WANG Zhenyi. Thermo-Mass Coupling Fractal Study of Wet Phase-Change Rough Porous Materials[J]. Applied Mathematics and Mechanics, 2022, 43(5): 561-568. doi: 10.21656/1000-0887.420328 |
[3] | ZHANG Jie, ZHANG Sai, GAO Weiye, HU Shiwang, WANG Zhenyi. A Fractal Model for Thermal Dispersion Coefficients of Porous Media[J]. Applied Mathematics and Mechanics, 2022, 43(5): 553-560. doi: 10.21656/1000-0887.420314 |
[4] | CHEN Wen, LIANG Yingjie, YANG Xu. Soil Infiltration Rates and Hydrology Model Classifications Based on the Hausdorff Fractal Derivative Richards Equation[J]. Applied Mathematics and Mechanics, 2018, 39(1): 77-82. doi: 10.21656/1000-0887.380101 |
[5] | YIN Ya-jun, LI Ying, YANG Fan, FAN Qin-shan. Multiple Cell Elements and Regular Multifractals[J]. Applied Mathematics and Mechanics, 2010, 31(1): 51-60. doi: 10.3879/j.issn.1000-0887.2010.01.006 |
[6] | YIN Ya-jun, YANG Fan, LI Ying, FAN Qin-shan. Fractal Geometry and Topology Abstracted From Hair Fibers[J]. Applied Mathematics and Mechanics, 2009, 30(8): 919-926. doi: 10.3879/j.issn.1000-0887.2009.08.004 |
[7] | SONG Fu-quan, LIU Ci-qun. The Transient Elliptic Flow of Power-Law Fluid in Fractal Porous Media[J]. Applied Mathematics and Mechanics, 2002, 23(8): 778-782. |
[8] | LI Hong-da, YE Zheng-lin, GAO Hang-shan. On the Continuity and Differentiability of a Kind of Fractal Interpolation Function[J]. Applied Mathematics and Mechanics, 2002, 23(4): 422-428. |
[9] | TONG Deng-ke, Zhang Hong-qing. The Flow Problem of Fluids Flow in a Fractal Reservoir With Double Porosity[J]. Applied Mathematics and Mechanics, 2001, (10): 1009-1016. |
[10] | ZHANG Xiang-wei, LIN Yi. The Dimension of Spline Space S31(Δ) on a Type of Triangulation[J]. Applied Mathematics and Mechanics, 2000, 21(8): 783-791. |
[11] | WANG Zi-ting. Anomalous Diffusion in Fractal Porous Medium[J]. Applied Mathematics and Mechanics, 2000, 21(10): 1033-1038. |
[12] | Tong Dengke, Chen Qinlei. Generalized Flow Analysis of Non-Newtonian Visco-Elastic Fluids Flow Through Fractal Reservoir[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1267-1274. |
[13] | Gu Shenshi, Wang Zhiqian, Cheng Jitai. The Fractal Research and Predicating on the Time Series of Sunspot Relative Number[J]. Applied Mathematics and Mechanics, 1999, 20(1): 79-84. |
[14] | Dao Zhengde, Guo Boling, Lin Guoguang. The Fractal Structure of Attractor for the Generalized Kuramoto-Sivashinsky Equations[J]. Applied Mathematics and Mechanics, 1998, 19(3): 243-256. |
[15] | Li Fanhua, Liu Ciqun. Pressure-Transient Analysis of Two-Lagered Fractal Reservoirs[J]. Applied Mathematics and Mechanics, 1998, 19(1): 21-26. |
[16] | Xie Heping, Sun Hongquan. The Theory of Fractal Interpolated Surface and Its Applications[J]. Applied Mathematics and Mechanics, 1998, 19(4): 297-306. |
[17] | Chen Longxuan, Hou Renmin, Wang Liangtao. Jordan Canonical Forms of Matrices over Quaternion Field[J]. Applied Mathematics and Mechanics, 1996, 17(6): 533-542. |
[18] | Dai Zheng-de, zhu zhi-we. The Inertial Fractal Set for Weakly Damped Forced Koreweg-de-Vries Equation[J]. Applied Mathematics and Mechanics, 1995, 16(1): 33-40. |
[19] | Cheng Dai-zhan. Fractal Sets in Control Systems[J]. Applied Mathematics and Mechanics, 1993, 14(8): 699-706. |
[20] | Zhang Yong-ping, Xie He-ping. Fractal Geometry Derived from Geometric Inversion[J]. Applied Mathematics and Mechanics, 1990, 11(11): 1007-1012. |