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弹性-粘塑性材料Ⅰ型动态扩展裂纹尖端场的渐近解

Asymptotic Dynamic Solution to the Mode Ⅰ Propagating Crack-Tip Field in Elastic-Viscoplastic Material

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【作者】 李范春

【Author】 LI Fan_chun1,2(1.Institute of Applied Mathematics and Mechancis, Shanghai University, Shanghai 200072, P.R.China;2.School of Civil Engineering,Harbin Engineering University,Harbin 150001,P.R.China)

【机构】 上海大学上海市应用数学和力学研究所 上海200072哈尔滨工程大学建筑工程学院哈尔滨150001

【摘要】 提出了一种新的弹性_粘塑性模型用于分析Ⅰ型动态扩展裂纹尖端的应力应变场· 给出了适当的位移模式,推导了渐近方程并且给出了数值解· 分析和计算表明:对于低粘性情况,裂纹尖端场具有对数奇异性;对于高粘性情况,渐近方程无解· 分析比较表明该结果具有高玉臣提出的单参数解的所有优点,并且消除了粘性区随裂纹扩展而移动的不足·

【Abstract】 A new elastic_viscoplastic mode was proposed to analyze the stress and strain fields surrounding the tip of a propagating mode Ⅰ cracks. A proper displacement pattern was suggested and asymptotic equations were derived, and numerical solutions were illustrated. The analysis and calculation show that the crack_tip field is of logarithmic singularity for smaller viscosity, however no solution exits for large viscosity. By a careful analysis and comparison, it is found that the present results retain all merits of those given by GAO Yu_chen, while removing existing problems.

【关键词】 裂纹场动态扩展粘塑性
【Key words】 crack_tip fielddynamic propagatingviscoplastic
  • 【文献出处】 应用数学和力学 ,Applied Mathematics and Mechanics , 编辑部邮箱 ,2003年02期
  • 【分类号】O346.1
  • 【下载频次】55
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