## 留言板

 引用本文: 吕念春, 程云虹, 李新刚, 程靳. 非对称Ⅲ型裂纹表面受运动载荷的动态扩展问题[J]. 应用数学和力学, 2008, 29(10): 1161-1171.
LÜ Nian-chun, CHENG Yun-hong, LI Xin-gang, CHENG Jin. Dynamic Propagation Problems Concerning the Surfaces of Asymmetrical Mode Ⅲ Crack Subjected to Moving Loads[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1161-1171.
 Citation: LÜ Nian-chun, CHENG Yun-hong, LI Xin-gang, CHENG Jin. Dynamic Propagation Problems Concerning the Surfaces of Asymmetrical Mode Ⅲ Crack Subjected to Moving Loads[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1161-1171.

## 非对称Ⅲ型裂纹表面受运动载荷的动态扩展问题

###### 作者简介:吕念春(1965- ),男,辽宁朝阳人,副教授,博士(联系人.Tel:+86-451-86414970;E-mail:lnc_65@163.com).
• 中图分类号: O346.1

## Dynamic Propagation Problems Concerning the Surfaces of Asymmetrical Mode Ⅲ Crack Subjected to Moving Loads

• 摘要: 通过复变函数论的方法，对非对称Ⅲ型裂纹表面受运动载荷的动态扩展问题进行了研究．采用自相似函数的方法可以获得解析解的一般表达式．应用该法可以迅速地将所讨论的问题转化为Riemann-Hilbert问题,并求得了非对称扩展裂纹表面分别受到常数运动载荷、阶跃运动载荷作用下的应力、位移和动态应力强度因子解析解．利用这些解并采用叠加原理，就可以求得任意复杂问题的解．
•  [1] Erigen A C,Suhubi E S.Elastodynamics[M].Vol 2.Linear Theory.New York,San Francisco,London:Academic Press,1975. [2] Sih G C.Mechanics of Fracture[M].Vol 1.Methods of Analysis and Solutions of Crack Problems.Leyden:Noordhoff,1977. [3] Cherepanov G P.Mechanics of Brittle Fracture[M].New York:McGraw Hill International Book Company,1979,732-792. [4] Erdogan F.Crack Propagation Theories[M].Fracture Ⅱ.New York:Academic Press,1968,497-509. [5] Sih G C.Some elastodynamics problems of cracks[J].Internat J Fracture,1968,1(1):51-68. [6] Kostrov B V.Self-similar problems of propagation of shear cracks[J].J Appl Math Mech,1964,28(5):1077-1087. [7] L Nian-chun,CHENG Jin,CHENG Yun-hong.Mode Ⅲ interface crack propagation in two joined media with weak dissimilarity and strong orthotropy[J].Theoretical and Applied Fracture Mechanics,2001,36(3):219-231. [8] Broberg K B.The propagation of a brittle crack[J].Arch fur Fysik,1960,18(1):159-192. [9] 范天佑.断裂动力学引论[M].北京：北京理工大学出版社，1990. [10] Rubin-Gonzalea C,Mason J J.Dynamic intensity factors at the tip of a uniformly loaded semi-infinite crack in an orthotropic material[J].J Mech Phys Sol,2000,48(5):899 -925. [11] Sih G C,MacDonald B.Fracture of mechanics applied to engineering problems.Strain energy density fracture criterion[J].Eng Fracture Mech,1974,6(2):361-386. [12] Sih G C.Handbook of Stress Intensity Factors[M].Bethlehem,Pa:Inst Frac Solid Mech， Lehigh University,1973. [13] Sih G C.Mechanics of Fracture Initiation and Propagation[M].Boston:Kluwer Academic Publisher,1991. [14] Wang Y H,Cheung Y K,Woo C W.Anti-plane shear problem for an edge crack in a finite orthotropic plate[J].Eng Fracture Mech,1992,42(6):971-976. [15] Knauss W K.Dynamic fracture[J].Internat J Fracture,1987,25(1):35-91. [16] Wang Y H.Analysis of an edge-cracked body subjected to a longitudinal shear force[J].Eng Fracture Mech,1992,42(1):45-50. [17] 吕念春,程靳，程云虹.Ⅲ型裂纹面受双重载荷作用下的动态扩展问题[J]. 哈尔滨工业大学学报，2005,37(8):1093-1097. [18] 吕念春,程靳,程云虹.反平面动态扩展裂纹问题的研究[J]．应用力学学报.2004,21(4):156-160. [19] 吕念春,程云虹,田修波,等.变载荷作用下Ⅲ型裂纹扩展的解析解[J].哈尔滨工业大学学报,2006,38(8):1310-1313. [20] Muskhelishvili N I.Singular Integral Equations[M].Moscow:Nauka,1968. [21] Muskhelishvili N I.Some Fundamental Problems in the Mathematical Theory of Elasticity[M].Moscow:Nauka,1966. [22] Atkinson C.On the dynamic stress and displacement field associated with a crack propagating across the interface between two media[J].Internat J Engng Sci,1975,13(5):491-506. [23] Atkinson C.The propagation of a brittle crack in anisotropic material[J].Internat J Engng Sci,1965,3(2):77-91. [24] Hoskins R F.Generalized Functions[M].New York:Ellis Horwood,1979，19-125. [25] 王燮山.奇异函数及其在力学中的应用[M].北京:科学出版社，1993，3-45. [26] Gahov F D.Boundary-Value Problems[M].Moscow:Fizmatgiz,1963，10-136. [27] Sih G C.Mechanics of Fracture[M].Vol 4.Elastodynamics Crack Problems.Leyden:Noordhoff,1977,213-247. [28] Kanwal R P,Sharma D L.Singularity methods for elastostatics[J].J Elasticity,1976,6(4):405-418. [29] 数学手册编写组.数学手册[M].北京:高等教育出版社,2002,244-300. [30] 同济大学数学教研室.高等数学[M].上册.北京:高等教育出版社，1994,167-172. [31] Wu K C.Dynamic crack growth in anisotropic material[J].Internat J Fracture,2000，106(1):1-12. [32] Kalthoff J F,Beinert J,Winkler S.Measurements of dynamic stress intensity factors for fast running and arresting cracks in double-cantilever-beam specimens[A].Vol 627.In:Kanninen Hahn,Ed.Fast Fracture and Arrest[C].Chicago,IL.Philadelphia Pa:ASTM-STP,627,1977,161-176. [33] Kobayashi A S.Dynamic fracture analysis by dynamic finite element method:Generation and prediction analyses[A].In:Saxena A,Landes J D,Bassani J L,Eds.Nonlinear and Dynamic Fracture Mechanics[C].Vol 35.New York,NY:Amd,ASME,1979,19-36. [34] Ravi-Chandar K,Knauss W G.An experimental investigation into dynamic fracture:Pt 1,crack initiation and arrest[J].Internat J Fracture,1984,25(4):247-262. [35] Ravi-Chandar K,Knauss W G.An experimental investigation into dynamic fracture:Pt 2,microstructural aspects[J].Internat J Fracture,1984,26(1):65-80. [36] Ravi-Chandar K,Knauss W G.An experimental investigation into dynamic fracture:Pt.3,On steady-state crack propagation and crack branching[J].Internat J Fracture,1984,26(2):141-154. [37] Ravi-Chandar K,Knauss W G.An experimental investigation into dynamic fracture:Pt 4,on the interaction of stress waves with propagation cracks[J].Internat J Fractere,1984,26(3):189-200. [38] Sneddon N I.Fourier Transform[M].New York:McGraw-Hill,1951. [39] Muskhelishvili N I.Some Basic Problems From the Mathematical Theory of Elasticity[M].Groningen-Holland:P.Noordoff,1953. [40] Galin L A.Contact Problems in Elasticity Theory[M].Moscow:GITTL,1953.

##### 计量
• 文章访问数:  2412
• HTML全文浏览量:  16
• PDF下载量:  483
• 被引次数: 0
##### 出版历程
• 收稿日期:  2008-05-15
• 修回日期:  2008-09-16
• 刊出日期:  2008-10-15

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈