| 狭长体中非对称快速传播裂纹的分析解 |
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| 引用本文： | 杨晓春,王鲁,范天佑.狭长体中非对称快速传播裂纹的分析解[J].力学学报,2000,32(4):507-512. |
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| 作者姓名： | 杨晓春 王鲁 范天佑 |
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| 作者单位： | 1. 宁夏大学数学与电算工程系,银川 750021 北京理工大学材料科学研究中心,北京 100081
2. 北京理工大学材料科学研究中心,北京 100081 |
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| 基金项目： | 国家教委博士点基金资助项目. |
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| 摘 要： | 用复变函数方法得到了弹性狭长体中含有一非对称半元限裂纹的动力学问题的分析解，当裂纹速度Ｖ→０时，此动力学的解可还原静力学的解，该问题Ｉ型与ＩＩ型静态与动态应力强度因子ＫＩ，ＫＩＩ得以确定，并且具有解析的形式。
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| 关 键 词： | 狭长体 动态裂纹 保角映射 边值问题 |
| 修稿时间： | 1998年9月8日 |
ANALYTIC SOLUTION OF AN ASYMMETRICAL FAST PRO-PAGATING SEMI-INFINITE CRACK IN A STRIP |
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| YANG Xiaochun,Wang Lu,FAN Tianyou.ANALYTIC SOLUTION OF AN ASYMMETRICAL FAST PRO-PAGATING SEMI-INFINITE CRACK IN A STRIP[J].chinese journal of theoretical and applied mechanics,2000,32(4):507-512. |
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| Authors: | YANG Xiaochun Wang Lu FAN Tianyou |
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| Abstract: | This study presents an analytic solution for an asymmetrical fastpropagating semi-infinite crack in a strip. The formulation of complexfunction approach for solving dynamic crack problems given by Fan is thebasis of the present analysis. Meanwhile a conformal mapping is used totransform the region of the physical plane onto the upper half-plane inthe mapped plane. The Cauchy integral and analytic continuum are alsoused in the calculation. The analytic solution in closed form isobtained. When the crack is reduced to the symmetrical one, the resultsobtained here are reduced to those given by Fan, which servea check of the present work.
In the work the dynamic stress intensity factors, dynamic crack openingand sliding displacements and the plastic zones at the dynamic crack tipfor Mode I and Mode II are determined. These results are significant, which may be used to simulate the instability of earthquake fault. |
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| Keywords: | strip dynamic state analytic solution complex variable method stress intensity factors |
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