Quantitative characterization of morphology of explosive welding interfacesbased on fractal theory
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摘要: 以爆炸焊接界面形貌为研究对象，利用分形理论研究其界面特征。运用三维超景深显微镜获得界面形貌图像，利用Matlab图像分析技术对界面形貌进行二值化处理，基于分形理论计算图像分维值以及多重分维谱。由分维值及多重分形谱的物理意义可知，轮廓分维值是对界面不规则程度宏观度量，而多重分形谱能定量表征界面的起伏程度及高度分布。因而，通过对界面结构进行分形几何分析，可实现界面形貌定量表征，弥补当前定性分析的不足。Abstract: Explosive welding interface structure determines the quality of composite materials. However, analyses on the interfaces morphology so far remain limited on the qualitative level and quantitative analysis methods have not been well established. In our work we took explosive welding interface morphology as research subject, extracted the fractal dimensions and multi-fractal spectrums of interface based on the fractal theory to understand its morphological characteristics. First, we obtained the interface structure by three-dimensional ultra-depth microscopy. Then we dealt with it by picture analysis techniques to gain its binary image. Furthermore, we calculated the fractal dimensions and multi-fractal spectrum of the images by fractal geometry. Following the fractal theory, the fractal dimension is the macroscopic characteristics of the welding interfaces and the multi-fractal spectrum reflects their degree of fluctuation and the ratio of distribution. Thus taking fractal dimension and multi-fractal spectrum into account when describing welding interface structure can make up for what is lacking in the qualitative analysis and achieve the quantitative analysis.
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[1] 史长根, 王耀华, 李子全, 等.爆炸焊接界面成波机理初探[J].爆破器材, 2004, 33(5):25-28. doi: 10.3969/j.issn.1001-8352.2004.05.008Shi Changgen, Wang Yaohua, Li Ziquan, et al. Study on the technique of blasting demolishing the long aqueduct with the control of domino effect[J]. Explosive Materials, 2004, 33(5):25-28. doi: 10.3969/j.issn.1001-8352.2004.05.008 [2] 王耀华, 洪津, 史长根.SA266-304爆炸复合板的三种结合界面[J].材料科学与工艺, 1998, 6(4):35-38. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK199801007626Wang Yaohua, Hong Jin, Shi Changgen. Three bond interface of explosive welding of steel SA266/304[J]. Materials Science and Technology, 1998, 6(4):35-38. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK199801007626 [3] 付艳恕, 孙宇新, 陈志华, 等.铝-铝爆炸焊接界面的实验研究[J].实验力学, 2011, 26(1):49-53. http://d.old.wanfangdata.com.cn/Periodical/sylx201101009Fu Yanshu, Sun Yuxin, Chen Zhihua, et al. An experimental investigation on Al-Al explosive welding interfaces[J]. Journal of Experimental Mechanics, 2011, 26(1):49-53. http://d.old.wanfangdata.com.cn/Periodical/sylx201101009 [4] 张越举, 杨旭升, 李晓杰, 等.钛/钢复合板爆炸焊接实验[J].爆炸与冲击, 2012, 32(1):103-107. doi: 10.3969/j.issn.1001-1455.2012.01.018Zhang Yueju, Yang Xusheng, Li Xiaojie, et al. An experimental research on explosive welding of titanium/steel clad plate[J]. Explosion and Shock Waves, 2012, 32(1):103-107. doi: 10.3969/j.issn.1001-1455.2012.01.018 [5] Zhang Y, Babu S S, Prothe C, et al. Application of high velocity impact welding at varied different length scales[J]. Journal of Materials Processing Technology, 2011, 211(5):944-952. doi: 10.1016/j.jmatprotec.2010.01.001 [6] Chizari M, Al-Hassani S T S, Barrett L M. Effect of flyer shape on the bonding criteria in impact welding of plates[J]. Journal of Materials Processing Technology, 2009, 209(1):445-454. doi: 10.1016/j.jmatprotec.2008.02.022 [7] Akbari-Mousavi S A A, Barrett L M, Al-Hassani S T S. Explosive welding of metal plates[J]. Journal of Materials Processing Technology, 2008, 2029(1):224-239. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=29113ab7d6e0d697a52a1ebcbe88b893 [8] Drennov O B, Mikhailov A L, Nizovtsev P N, et al. Instability of an interface between steel layers acted upon by an oblique shock wave[J]. International Journal of Impact Engineering, 2005, 32(1):161-172. http://cn.bing.com/academic/profile?id=d9a22c5a8dbbb9faf21bbcfbc784c125&encoded=0&v=paper_preview&mkt=zh-cn [9] Drennov O B, Davydov A I, Mikhailov A L, et al. Shear instability at the "explosion product-metal" interface for sliding detonation of an explosive charge[J]. International Journal of Impact Engineering, 2005, 32(1):155-160. http://cn.bing.com/academic/profile?id=099df2db51b79563494145ce32295a57&encoded=0&v=paper_preview&mkt=zh-cn [10] Ben-Artzy A, Stern A, Frage N, et al. Wave formation mechanism in magnetic pulse welding[J]. International Journal of Impact Engineering, 2010, 37(4):397-404. doi: 10.1016/j.ijimpeng.2009.07.008 [11] 孙霞, 吴自勤.规则表面形貌的分形和多重分形描述[J].物理学报, 2001, 50(11):2126-2131. http://d.old.wanfangdata.com.cn/Periodical/wlxb200111017Sun Xia, Wu Ziqin. Fractal and multifractal description of surface topography[J]. Acta Physica Sinica, 2001, 50(11):2126-2131. http://d.old.wanfangdata.com.cn/Periodical/wlxb200111017 [12] Sun X, Fu Z X, Wu Z Q. Multifractal analysis and scaling range of ZnO AFM images[J]. Physica A: Statistical Mechanics and its Applications, 2002, 311(3):327-338. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=1158c7282d1c3e7db5627a964f0a2623 [13] Chen Z W, Lai J K L, Shek C H. Multifractal spectra of scanning electronmicroscope imagesof SnO2 thin films prepared by pulsed laser deposition[J]. Physics Letters A, 2005, 345(1):218-223. http://cn.bing.com/academic/profile?id=92284be9e46b1374a64f04e0057ac883&encoded=0&v=paper_preview&mkt=zh-cn [14] Williford R E. Multifractal fracture[J]. Scripta Metallurgica, 1988, 22(11):1749-1754. doi: 10.1016/S0036-9748(88)80277-1 -
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