讨论了分形几何应用于断裂研究的几个基本问题,主要包括断面的分形特征与分形测量,分维与断裂韧性的关系以及金属断裂的多种分形模型.进一步阐述了分形理论在金属断裂方面的应用前景.
参考文献
| [1] | MANDELBROT B B;PASSOJA D E;PALLAYA J .Fractal character of fracture surfaces of metals[J].Nature,1984,308(19):721-726. |
| [2] | DAUSKARDT R H;HAUBENSAK F;RITCHIE R O .On the interpretation of the fractal character of fracture surfaces[J].Acta Metallurgica Et Materialia,1990,38(02):143-159. |
| [3] | UNDERWOOD E E;BANERJI K .Fractals in fractography[J].Materials Science and Engineering,1986,80(01):1-4. |
| [4] | PANDE C S;RICHARDS L R;SMITH S .Fractal characteristics of fractured surfaces[J].Journal of Materials Science Letters,1987,6(01):295-301. |
| [5] | RICHARDS L R;DEMPSEY B D .Fractal characterization of fractured surfaces in Ti-4.5 Al-5.0 Mo-1.5[J].Scripta Metallurgica,1988,22:687-689. |
| [6] | 穆在勤;李淑清;龙期威 .断裂表面不同方向的分形结构[J].材料科学进展,1990,4(03):247-250. |
| [7] | 卢春生;白以龙 .材料损伤断裂中的分形行为[J].力学进展,1990,20(04):468-477. |
| [8] | Lu C;Mai YW;Bai Y .Fractals and scaling in fracture induced by microcrack coalescence[J].Philosophical Magazine Letters,2005(2):67-75. |
| [9] | MANDELBROT B B .The fractal geometry of nature[J].Fractals-Complex Geometry,Patterns,and Scaling in Nature and Society,1993,1:117-123. |
| [10] | 卢春生;韩闻生;白以龙 等.层裂的分形机理及分维和连接阀值的关系[J].力学学报,1995,27:28-31. |
| [11] | KADANOFF L P .Fractals:where's the physics[J].Physics Today,1986,39(02):6-7. |
| [12] | 魏成富;李静媛;严范梅 等.分形维数与D6AC钢的韧性[J].材料科学与工程,1995,13(03):36-41. |
| [13] | 肖林,顾海澄,匡震邦.锆-4合金高温疲劳断口分形特征二次电子线扫描法研究[J].稀有金属材料与工程,1995(02):22-26. |
| [14] | MECHOLSKY J J;PASSOJA D E;FEINBERG-RINGEL K S .Quantitative analysis of brittle fracture surfaces using fractal geometry[J].Journal of the American Ceramic Society,1989,72:60-65. |
| [15] | RUSS J C.Fractal Surfaces[M].New York:Plenum Press,1994 |
| [16] | Hill T.J.;John J.M.J. .Fractal Analysis of Toughening Behavior in 3BaO centre dot 5SiO_2 Glass-Ceramics[J].Journal of the American Ceramic Society,2000(3):545-552. |
| [17] | Mecholsky JJ.;West JK.;Passoja DE. .Fractal dimension as a characterization of free volume created during fracture in brittle materials[J].Philosophical Magazine.A.Physics of condensed matter, defects and mechanical properties,2002(17/18):3163-3176. |
| [18] | PANDE C S;RICHARDS L R;LONAT N et al.Fractal characterization of fractured surfaces[J].ACTA METALLURGICA,1987,35(07):1633-1640. |
| [19] | BARAN G R;ROQUES-CARMES C;WEHBI D et al.Fractal characteristics of fracture surfaces[J].Journal of the American Ceramic Society,1992,75(10):2687-2691. |
| [20] | 类维生.几种断裂问题的分形描述[J].高压物理学报,1994(03):166. |
| [21] | 穆在勤;李淑清;龙期威 .断裂表面不同方向的分形结构[J].材料科学进展,1990,4(03):247-250. |
| [22] | 苏辉;张玉贵;阎振綮 .金属冲击断口的分形分析[J].金属学报,1989,25(06):A466-A468. |
| [23] | 龙起易;朱祖铭;穆在勤.马氏体相变的分形描述[A].合肥:中国科学技术大学出版社,1993:291-295. |
| [24] | 类维生;苏燕;陈丙森 .裂纹扩展速率的分形模型[J].钢铁研究学报,1996,8(04):67-68. |
| [25] | 孙力玲 .定向凝固高温合金晶界形貌的分形描述[J].金属学报,1994,30(05):A200-A203. |
| [26] | 高峰.几种断裂问题的分形描述中几个问题的商榷[J].高压物理学报,1996(02):141. |
| [27] | LUNG C W.Fractal and the fracture of cracked metals[M].Amsterdam:North-Holland,1986:189-195. |
| [28] | 苏辉.金属沿晶断裂表面的随机分形分析[J].科学通报,1991(19):1510-1511. |
| [29] | XIE H.Fractals in Rock Mechanics[M].Rotterdam:A.A.Balkema publishers,1993:20-86. |
| [30] | 谢和平;张永平;宋晓秋.分形几何:数学基础与应用[M].重庆:重庆大学出版社,1991:187-200. |
| [31] | SURESH S .Fractal model of fatigue surfaces[J].Metallurgical Transactions,1983,14A:2375-2381. |
| [32] | 谢和平;黄约军 .分形裂纹扩展对疲劳行为的影响[J].机械强度,1996,18(01):1-5. |
| [33] | 王有明;孙国雄;汤崇熙 .材料损伤断裂的分形模型[J].东南大学学报(自然科学版),1994,24(04):26-31. |
| [34] | 章冠人 .韧性与脆性断裂的分形维数[J].爆炸与冲击,1996,16(02):117-122. |
| [35] | HIROYUKI N .A fractal criterion for ductile and brittle fracture[J].Journal of Applied Physics,1994,75(06):3220-3222. |
| [36] | 丁晓峰;王东瑾 .18Mn2CrMoB合金钢的分形维数与断裂韧度关系[J].辽宁工学院学报(自然科学版),1995,15(02):1-5. |
| [37] | 江来珠;崔昆 .应用分形几何研究钢的冲击韧性与易切削相参数的相关性[J].金属学报,1992,28(01):A27-A33. |
| [38] | 李学良;林建新 .易切削钢冲击断口分维的随机分形分析[J].金属学报,1994,30(08):A380-A384. |
| [39] | XIE H .Response for discussion on" the fractal effect of irregularity of crack branching on the fracture.toughness of brittle materials"[J].International Journal of Fracture,1994,65(04):R71-R75. |
| [40] | 卢春生;韩闻生;柯孚久 等.统计细观损伤力学和损伤演化诱致突变[J].力学进展,1995,25(02):145-173. |
| [41] | GENADY P C;ALEXANDER S B .Fractal fracture mechanics,a review[J].Engineering Fracture Mechanics,1995,51:997-1033. |
| [42] | 苏燕 .断裂韧性与断裂表面分形维数的相关性研究[J].钢铁研究学报,1997,9(02):53-56. |
| [43] | 张济忠.分形[M].北京:清华大学出版社,1995:57-73. |
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