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梯度非均匀有限板中裂纹动态响应的有限元分析
引用本文:盖秉政,张永强. 梯度非均匀有限板中裂纹动态响应的有限元分析[J]. 哈尔滨工业大学学报, 2005, 37(12): 1631-1633
作者姓名:盖秉政  张永强
作者单位:哈尔滨工业大学,航天学院,黑龙江,哈尔滨,150001;哈尔滨工业大学,航天学院,黑龙江,哈尔滨,150001
基金项目:国家自然科学基金资助项目(10272036)
摘    要:为了研究梯度非均匀有限板中裂纹动态响应问题,用波动有限元的方法研究了梯度非均匀板中裂纹在冲击载荷作用下的动态响应.通过对裂缝宽度与到裂端距离插值的方法求裂尖端处的动态应力强度因子(DSIFs),对指数衰减脉冲作用下弹性模量按单向线性变化的梯度非均匀有限裂纹板进行了数值计算.结果显示:无论板材料梯度参数及裂纹长度如何变化,裂尖处动态应力强度因子时程均呈起始快速上升转而缓慢下降;无论在什么时刻,裂尖处动态应力强度因子随裂纹的长度减小而减小,随板材料的功能梯度参数增大而减小.

关 键 词:冲击载荷  梯度非均匀有限板  有限元  裂纹  动态响应
文章编号:0367-6234(2005)12-1631-03
收稿时间:2004-12-29
修稿时间:2004-12-29

Finite element analysis of crack dynamic response in gradient non- homogeneous finite plate
GAI Bing-zheng,ZHANG Yong-qiang. Finite element analysis of crack dynamic response in gradient non- homogeneous finite plate[J]. Journal of Harbin Institute of Technology, 2005, 37(12): 1631-1633
Authors:GAI Bing-zheng  ZHANG Yong-qiang
Abstract:The wave finite element method was used to study the dynamic response under impact loading in a gradient non-homogeneous plate with a crack.The dynamic stress intensity factors(DSIFs) of the crack-tip can be obtained by interpolations for the width of a crack and the distance from the crack-end.A gradient non-homogeneous finite crack plate with the unidirectional linear elastic modulus under exponent attenuation impact load was concretely analyzed numerically.The results show that however the crack length and gradient parameter of the plate materials are changed,dynamic stress intensity factors at the crack-tip rapidly rise and then slowly fall with time.The crack-tip dynamic stress intensity factors decrease with the decrease of the crack length and the increase of the functionally gradient parameter.
Keywords:impact load  gradient non-homogeneous finite plate  finite element  crack  dynamic response
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