• CN:11-2187/TH
  • ISSN:0577-6686

›› 2009, Vol. 45 ›› Issue (7): 254-258.

• 论文 • 上一篇    下一篇

小范围屈服条件下复合材料裂纹尖端塑性区分析

高鑫;康兴无;王汉功;张亚   

  1. 西安高科技研究所501室;西安高科技研究所201室
  • 发布日期:2009-07-15

Analysis of Crack Tip Plastic Zone for Composites under Small Scale Yielding

GAO Xin;KANG Xingwu;WANG Hangong;ZHANG Ya   

  1. 501 Faculty, Xi’an High-Tech Institute 201 Faculty, Xi’an High-Tech Institute
  • Published:2009-07-15

摘要: 基于复合材料力学,推导Tsai-Hill强度准则在平面应力和平面应变条件下的一般表达式,得到了小范围屈服条件下,含中心裂纹无限大板Ⅰ型裂纹、Ⅱ型裂纹和Ⅰ/Ⅱ复合型裂纹尖端塑性区的解析解。针对不同裂纹倾角及泊松比 和,对裂尖塑性区进行了计算和分析。结果表明平面应变条件下塑性区范围小于平面应力条件下塑性区范围,参数、和 对复合材料裂尖塑性区范围和形状有明显的影响,不同的参数值得到的塑性区结果差别很大。另外,该解既适用于各向异性复合材料,也适用于各向同性材料。

关键词: 复合材料, 裂纹, 塑性区, 小范围屈服

Abstract: Based on mechanics of composite materials, the Tsai-Hill strength criterion expressions are derived under plane stress and plane strain conditions. The analytic solutions of modeⅠ, modeⅡand Ⅰ/Ⅱ mixed mode crack tip plastic zone are obtained for an infinite composites plate with a central crack under small scale yielding. The crack tip plastic zones are analyzed for different crack inclination angle , Poisson ratio v31 and v32. The obtained results show that the size of crack tip plastic zone under plane strain condition is less than that of crack tip plastic zone under plane stress condition, the parameters of , v31 and v32 affect the size and shape of crack tip plastic zone obviously, and the difference among crack tip plastic zone results for different value of parameters is great. In addition, the solution is applicable to composites as well as isotropy materials.

Key words: Composites, Crack, Plastic zone, Small scale yielding

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