| 非对称III型界面裂纹扩展的动态问题 |
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| 引用本文： | 吕念春 程云虹 杨鼎 宁程靳. 非对称III型界面裂纹扩展的动态问题[J]. 力学学报, 2008, 40(5): 695-700. DOI: 10.6052/0459-1879-2008-5-2007-104 |
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| 作者姓名： | 吕念春 程云虹 杨鼎 宁程靳 |
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| 作者单位： | 沈阳理工大学材料科学与工程分院沈阳东北大学土木工程系哈尔滨工业大学航天学院,150001哈尔滨工业大学航天工程与力学系, 150001 |
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| 摘 要： | 通过复变函数论的方法，对非对称Ⅲ型界面裂纹扩展的动态问题进行了研究.采用自相似函数的方法可以轻易地将所论问题转化为Riemann-Hilbert问题,并求得了裂纹坐标原点分别受到变载荷$Pt/ x$, $Px^3 /t^2$作用下的解析解的一般表达式.通过Muskhelishvili方法可以相当简单地得到问题的闭合解. 利用这些解并采用叠加原理，可以求得任意复杂问题的解.
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| 关 键 词： | 复变函数 非对称Ⅲ型界面裂纹 动态问题 自相似函数 解析解 |
| 收稿时间： | 2007-03-05 |
| 修稿时间： | 2008-01-28 |
Dynamic propagation of asymmetrical mode III interface crack |
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| Affiliation: | School of Material Science and Engineering, Shenyang Ligong University, Shenyang 110168, ChinaDepartment of Civil Engineering, Northeastern University, Shenyang 110006, P R ChinaDepartment of Astronautic Science and Mechanics, Harbin Institute of Technology, Harbin, 150001, China |
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| Abstract: | Dynamic propagation of asymmetrical mode III interfacecrack were investigated with the theory of complex functions. It can betranslated into a Riemann-Hilbert problem by means of self-similarfunctions, and the universal representations of analytical solution wereobtained when there is $Pt / x$ or $Px^3 / t^2$ load at the origin of thecrack coordinates. The closed-form solutions can also be simply obtainedwith Muskhelishvili's theory. |
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| Keywords: | complex functions asymmetrical mode III interface crack dynamic problems self-similar functions analytical solutions |
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