固体粗糙界面与超声的非线性相互作用研究

肖齐; 王珺; 郭霞生; 章东

doi:10.7498/aps.62.094301

摘要

本文提出了一种随机弹性接触界面与超声的非线性相互作用理论. 首先建立了描述随机弹性接触界面的模型, 然后分别研究了界面间应力-应变关系在线性简化模型、指数模型、高斯模型下与超声的非线性相互作用. 数值仿真和实验研究结果均表明高斯模型更适合描述固体接触界面. 本文在介观结构上解释了固体界面与超声的相互作用, 对工业超声无损检测裂缝、缺陷及损伤有指导意义.

关键词:

The interaction of ultrasound with an interface between two rough surfaces in contact has become a quite popular topic in many areas related to non-destructive evaluation (NDE). We proposed a theory of ultrasonic nonlinear interaction between some random rough elastic interfaces. The model of random elastic-contact interface is first described, and then the nonlinear ultrasonic interaction of interfaces with stress-strain relationship is studied, by using different models including linear simplified model, exponential model, and Gaussian model. Results of numerical simulations and experiments demonstrate that the Gaussian model is more suitable for describing the solid rough interfaces. This study provides an explanation of the ultrasonic interaction on mesoscopic level, which is a theoretical basis for practical application to detect cracks, defects and injuries in industrial ultrasonic NDE.

Keywords:

作者及机构信息

1.
近代声学教育部重点实验室, 南京大学声学研究所, 南京 210093

基金项目: 国家重点基础研究发展计划(973计划)(批准号:2011CB707900),国家自然科学基金(批准号:81127901,11161120324,11174141,11104140),江苏省自然科学基金(批准号:BE2011110,BK2011543)资助的课题.

Authors and contacts

1.
Key Lab of Modern Acoustics (MOE), Institute of Acoustics, Nanjing University, Nanjing 210093, China

Funds: Project supported by the National Basic Research Program of China (Grant No. 2011CB707900), the from National Natural Science Foundation of China (Grant Nos. 81127901, 11161120324, 11174141, 11104140), and the Natural Science Foundation of Jiangsu Province of China (Grant Nos. BE2011110, BK2011543).

参考文献

[1]	Baltazar A, Rokhlin S I, Pecorari C 2002 J. Mech. Phys. Solids 50 1397
[2]	Wang J S, Xu X D, Liu X J, Xu G C 2008 Acta Phys. Sin. 12 7765 (in Chinese) [王敬时, 徐晓东, 刘晓峻, 许钢灿 2008 物理学报 12 7765]
[3]	Pecorari C 2003 J. Acoust. Soc. Am. 113 3065
[4]	Hertz H 1896 Miscellaneous papers (London: Macmillan) p146
[5]	Greenwood J A, Williamson J B P 1966 Proc. R. Soc. London A 295 300
[6]	Brown S R, Scholz C H 1985 J. Geophys. Res. 90 5531
[7]	Richardson J M 1979 Int. J. Eng. Sci. 17 73
[8]	Swan G 1983 Rock Mechanics and Rock Engineering 16 19
[9]	Adler R J, Firman D 1981 Philos. Trans. R. Soc. London A 303 433
[10]	Shampine L F 2008 Journal of Computational and Applied Mathematics 211 131
[11]	Dormand J R, Prince P J 1980 J. Comp. Appl. Math. 6 19

施引文献

[1]	Baltazar A, Rokhlin S I, Pecorari C 2002 J. Mech. Phys. Solids 50 1397
[2]	Wang J S, Xu X D, Liu X J, Xu G C 2008 Acta Phys. Sin. 12 7765 (in Chinese) [王敬时, 徐晓东, 刘晓峻, 许钢灿 2008 物理学报 12 7765]
[3]	Pecorari C 2003 J. Acoust. Soc. Am. 113 3065
[4]	Hertz H 1896 Miscellaneous papers (London: Macmillan) p146
[5]	Greenwood J A, Williamson J B P 1966 Proc. R. Soc. London A 295 300
[6]	Brown S R, Scholz C H 1985 J. Geophys. Res. 90 5531
[7]	Richardson J M 1979 Int. J. Eng. Sci. 17 73
[8]	Swan G 1983 Rock Mechanics and Rock Engineering 16 19
[9]	Adler R J, Firman D 1981 Philos. Trans. R. Soc. London A 303 433
[10]	Shampine L F 2008 Journal of Computational and Applied Mathematics 211 131
[11]	Dormand J R, Prince P J 1980 J. Comp. Appl. Math. 6 19

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