DYNAMIC PROPAGATION PROBLEM ON DUGDALE MODEL OF MODE Ⅲ INTERFACE CRACK
By the theory of complex functions, the dynamic propagation problem on Dugdale model of mode Ⅲ interface crack for nonlinear characters of materials was studied. The general expressions of analytical solutions are obtained by the methods of self-similar functions. The problems dealt with can be easi...
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| Published in | Applied mathematics and mechanics Vol. 26; no. 9; pp. 1212 - 1221 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, P. R. China%Department of Civil Engineering, Northeastern University, Shenyang 110006, P. R. China%School of Material Science and Engineering, Harbin Institute of Technology, Harbin 150001, P. R. China%Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, P. R. China
01.09.2005
School of Material Science and Engineering, Shenyang University of Science and Technology, Shenyang 110168, P. R. China School of Material Science and Engineering, Harbin Institute of Technology, Harbin 150001, P. R. China |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0253-4827 1573-2754 |
| DOI | 10.1007/bf02507732 |
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| Abstract | By the theory of complex functions, the dynamic propagation problem on Dugdale model of mode Ⅲ interface crack for nonlinear characters of materials was studied. The general expressions of analytical solutions are obtained by the methods of self-similar functions. The problems dealt with can be easily transformed into Riemann-Hilbert problems and their closed solutions are attained rather simply by this approach. After those solutions were utilized by superposition theorem, the solutions of arbitrarily complex problems could be obtained. |
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| AbstractList | By the theory of complex functions, the dynamic propagation problem on Dugdale model of mode Ⅲ interface crack for nonlinear characters of materials was studied. The general expressions of analytical solutions are obtained by the methods of self-similar functions. The problems dealt with can be easily transformed into Riemann-Hilbert problems and their closed solutions are attained rather simply by this approach. After those solutions were utilized by superposition theorem, the solutions of arbitrarily complex problems could be obtained. O346.1; By the theory of complex functions, the dynamic propagation problem on Dugdale model of mode Ⅲ interface crack for nonlinear characters of materials was studied. The general expressions of analytical solutions are obtained by the methods of self-similar functions. The problems dealt with can be easily transformed into RiemannHilbert problems and their closed solutions are attained rather simply by this approach.After those solutions were utilized by superposition theorem, the solutions of arbitrarily complex problems could be obtained. |
| Author | 吕念春 程云虹 田修波 程靳 |
| AuthorAffiliation | School of Material Science and Engineering, Harbin Institute of Technology, Harbin 150001, P. R. China Department of Civil Engineering, Northeastern University, Shenyang 110006, P. R. China School of Material Science and Engineering, Shenyang University of Science and Technology, Shenyang 110168, P. R. China Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, P. R. China |
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| Cites_doi | 10.1007/BF01157550 10.1007/BF01152313 10.1016/0022-5096(60)90013-2 10.1016/0020-7225(65)90021-2 10.1007/BF01140627 10.1007/BF00963460 10.1007/BF00040900 |
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| Keywords | analytical solution self-similar function complex function interface crack Dugdale model |
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| Notes | self-similar function interface crack Dugdale model complex function ; Dugdale model; interface crack; self-similar function ;analytical solution analytical solution 31-1650/O1 complex function O346.1 |
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| Publisher | Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, P. R. China%Department of Civil Engineering, Northeastern University, Shenyang 110006, P. R. China%School of Material Science and Engineering, Harbin Institute of Technology, Harbin 150001, P. R. China%Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, P. R. China School of Material Science and Engineering, Shenyang University of Science and Technology, Shenyang 110168, P. R. China School of Material Science and Engineering, Harbin Institute of Technology, Harbin 150001, P. R. China |
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| References | Wang Xieshan (BF02507732_CR13) 1993 Cheng Jin (BF02507732_CR4) 1987; 8 G C Sih (BF02507732_CR15) 1977 B A Bilby (BF02507732_CR11) 1963; 272 M F Kanninen (BF02507732_CR2) 1985 N I Muskhelishvili (BF02507732_CR6) 1968 R P Kanwal (BF02507732_CR16) 1976; 6 F D Gahov (BF02507732_CR14) 1963 A C Erigen (BF02507732_CR3) 1975 Lü Nianchun (BF02507732_CR5) 2001; 36 K Ravi-Chandar (BF02507732_CR18) 1984; 25 C Atkinson (BF02507732_CR9) 1965; 3 D S Dugdale (BF02507732_CR10) 1960; 18 K Ravi-Chandar (BF02507732_CR20) 1984; 26 BF02507732_CR8 R F Hoskins (BF02507732_CR12) 1979 K Ravi-Chandar (BF02507732_CR21) 1984; 26 Fan Tianyou (BF02507732_CR1) 1990 N I Muskhelishvili (BF02507732_CR7) 1968 Teaching office of mathematics of Tongji University (BF02507732_CR17) 1994 K Ravi-Chandar (BF02507732_CR19) 1984; 26 |
| References_xml | – volume: 26 start-page: 141 issue: 2 year: 1984 ident: BF02507732_CR20 publication-title: Int J Frac doi: 10.1007/BF01157550 – volume: 36 start-page: 219 issue: 2 year: 2001 ident: BF02507732_CR5 publication-title: Theo App Frac Mech – start-page: 20 volume-title: Some Fundamental Problems in the Mathematical Theory of Elasticity [M] year: 1968 ident: BF02507732_CR7 – start-page: 167 volume-title: Advanced Mathematics (Vol 1)[M] year: 1994 ident: BF02507732_CR17 – volume: 26 start-page: 65 issue: 1 year: 1984 ident: BF02507732_CR19 publication-title: Int J Frac doi: 10.1007/BF01152313 – start-page: 213 volume-title: Mechanics of Fracture 4. Elastodynamics Crack Problems[M] year: 1977 ident: BF02507732_CR15 – start-page: 20 volume-title: Advanced Fracture Mechanics[M] year: 1985 ident: BF02507732_CR2 – ident: BF02507732_CR8 – start-page: 10 volume-title: Boundary-Value Problems[M] year: 1963 ident: BF02507732_CR14 – volume: 18 start-page: 100 issue: 1 year: 1960 ident: BF02507732_CR10 publication-title: J Mech Phy, Soli doi: 10.1016/0022-5096(60)90013-2 – volume: 272 start-page: 304 issue: 1350 year: 1963 ident: BF02507732_CR11 publication-title: Proc Roy Soc (London), Ser A – volume: 3 start-page: 77 issue: 2 year: 1965 ident: BF02507732_CR9 publication-title: Int J Engng Sci doi: 10.1016/0020-7225(65)90021-2 – volume: 26 start-page: 189 issue: 3 year: 1984 ident: BF02507732_CR21 publication-title: Int J Frac doi: 10.1007/BF01140627 – start-page: 82 volume-title: Quotation of Fracture Dynamics year: 1990 ident: BF02507732_CR1 – volume: 25 start-page: 247 issue: 4 year: 1984 ident: BF02507732_CR18 publication-title: Int J Frac doi: 10.1007/BF00963460 – start-page: 208 volume-title: Elastodynamic Vol 2 Linear Theory[M] year: 1975 ident: BF02507732_CR3 – start-page: 8 volume-title: Singular Integral Equations[M] year: 1968 ident: BF02507732_CR6 – volume: 6 start-page: 405 issue: 4 year: 1976 ident: BF02507732_CR16 publication-title: J Elasticity doi: 10.1007/BF00040900 – volume: 8 start-page: 108 issue: 2 year: 1987 ident: BF02507732_CR4 publication-title: Acta Mechanic Solida Sinica – start-page: 19 volume-title: Generalized Functions[M] year: 1979 ident: BF02507732_CR12 – start-page: 3 volume-title: Singular Functions and Their Applications in Mechanics[M] year: 1993 ident: BF02507732_CR13 |
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| Snippet | By the theory of complex functions, the dynamic propagation problem on Dugdale model of mode Ⅲ interface crack for nonlinear characters of materials was... O346.1; By the theory of complex functions, the dynamic propagation problem on Dugdale model of mode Ⅲ interface crack for nonlinear characters of materials... |
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| SubjectTerms | Dugdale模型 Riemann-Hilbert问题 动态传播 界面断裂 自模仿函数 |
| Title | DYNAMIC PROPAGATION PROBLEM ON DUGDALE MODEL OF MODE Ⅲ INTERFACE CRACK |
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