| 引用本文: | 程靳,巴颖,吕念春,林敏,郭宝科.Ⅲ型裂纹的二个动态扩展问题[J].哈尔滨工业大学学报,2011,43(9):30.DOI:10.11918/j.issn.0367-6234.2011.09.006 |
| CHENG Jin,BA Ying,Lü Nian-chun,LIN Min,GUO Bao-ke.Two dynamic propagation problems of mode Ⅲ crack[J].Journal of Harbin Institute of Technology,2011,43(9):30.DOI:10.11918/j.issn.0367-6234.2011.09.006 |
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| 摘要: |
| 通过复变函数论的方法,对Ⅲ型裂纹的2个动态扩展问题进行研究.本文提出了裂纹动态扩展的1个新的力学模型,即裂纹坐标原点分别受增加载荷Px/t、Pt3/x2的作用,采用自相似函数的方法将所讨论问题迅速转化为Riemann-Hilbert问题,并求得了该模型的应力、位移和应力强度因子的解析解.利用这些解并采用叠加原理,即可求得任意复杂问题的解. |
| 关键词: 复变函数 Ⅲ型裂纹 动态扩展 解析解 |
| DOI：10.11918/j.issn.0367-6234.2011.09.006 |
| 分类号:O346.1 |
| 基金项目: |
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| Two dynamic propagation problems of mode Ⅲ crack |
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CHENG Jin1, BA Ying1, Lü Nian-chun1,2, LIN Min1, GUO Bao-ke1
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1.Dept.of Astronautics and Mechanics,Harbin Institute of Technology,150001 Harbin,China;2.School of Material Science and Engineering,Shenyang Ligong University,110168 Shenyang,China)
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| Abstract: |
| In order to solve two dynamic propagation problems on mode Ⅲ crack by theory of complex functions,a new mechanical model for dynamic crack propagation,in which the crack is under the conditions of increasing loads Px/t、Pt3/x2 located at the origin of the coordinate of the crack is presented in this paper.The problems are transformed into Riemann-Hilbert problems by the approaches of self-similar functions,and the analytical solutions of stress,displacement and stress intensity factor are attained.With the solutions and superposition theorem,the solutions of discretionary complex problems can be acquired. |
| Key words: complex functions mode Ⅲ crack dynamic propagation analytical solutions |
