## 留言板

 引用本文: 冯文杰, 李向国, 王守东. 功能梯度条硬币型裂纹扭转冲击响应[J]. 应用数学和力学, 2004, 25(12): 1278-1284.
FENG Wen-jie, LI Xiang-guo, WANG Shou-dong. Torsional Impact Response of a Penny-Shaped Crack in a Functional Graded Strip[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1278-1284.
 Citation: FENG Wen-jie, LI Xiang-guo, WANG Shou-dong. Torsional Impact Response of a Penny-Shaped Crack in a Functional Graded Strip[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1278-1284.

## 功能梯度条硬币型裂纹扭转冲击响应

###### 作者简介:冯文杰(1967- ),男,河北泊头人,教授,博士(联系人.Tel:+86-311-7936543;Fax:+86-311-7936541;E-mail:fengwj@sjzri.edu.cn).
• 中图分类号: O346.1

## Torsional Impact Response of a Penny-Shaped Crack in a Functional Graded Strip

• 摘要: 研究非均匀条中硬币型裂纹的扭转冲击问题．材料的剪切模量假定按特定的梯度变化．采用Laplace 和Hankel 变换将问题化为求解Fredholm积分方程，通过将Bessel函数渐进展开获得裂纹尖端动态应力场．考查非均匀参数和功能梯度条高度对裂尖动态断裂行为的影响．动应力强度因子和能量密度因子的清晰表达式表明，作为裂纹扩展力，对于这里所研究的问题，二者是等价的．动应力强度因子的数值结果显示，增加剪切模量的非均匀参数可以抑制动应力强度因子的幅度，而条形域的高度对动态断裂特性的影响较小．
•  [1] Erdogan F. The crack problem for bonded nonhomogeneous materials under antiplane shear loading[J].ASME Journal of Applied Mechanics,1985,52(4):823—828. [2] Gerasoulis A, Srivastav R P. A Griffith crack problem for a nonhomogeneous medium[J].Internat J Engrg Sci,1980,18(2):239—247. [3] Konda N, Erdogan F. The mixed-mode crack problem in a nonhomogeneous elastic medium[J].Engineering Fracture Mechanics,1994,47(4):533—545. [4] Li C Y, Zou Z Z. Local stress field for torsion of a penny-shaped crack in a functionally graded material[J].Internat J Fracture,1998,91(2):L17—L22. [5] 李春雨, 邹振祝, 段祝平. 功能梯度材料裂纹尖端动态应力场[J]. 力学学报,2001,33(2):270—274. [6] Copson E P. On certain dual integral equations[J].Proceedings Glasgow Mathematical Association,1961,5:19—24. [7] Zuo J Z, Sih G C. Energy density theory formulation and interpretation of cracking behavior for piezoelectric ceramics[J].J Theoret Appl Fracture Mech,2000,34(1):17—33.

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##### 出版历程
• 收稿日期:  2003-01-19
• 修回日期:  2004-07-06
• 刊出日期:  2004-12-15

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