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材料损伤的约束应力区裂纹模型与求解
引用本文:唐雪松,魏天添.材料损伤的约束应力区裂纹模型与求解[J].长沙理工大学学报(自然科学版),2014(2):32-36.
作者姓名:唐雪松  魏天添
作者单位:长沙理工大学土木与建筑学院,湖南长沙410004
基金项目:国家自然科学基金资助项目(51378081);长沙理工大学研究生科研创新项目
摘    要:以约束应力描述材料的损伤程度,约束应力的大小和分布取决于材料的损伤状态,建立了描述材料破坏过程的约束应力区裂纹模型。考虑约束应力为线性分布,在远场均匀拉应力作用下,采用Muskhelishivili方法对I型约束应力区裂纹模型进行求解,得到了应力强度因子与裂纹张开位移的解析解。并通过数值计算研究了各因素对应力强度因子与裂纹张开位移的影响。

关 键 词:断裂力学  I型裂纹  应力强度因子  裂纹张开位移  约束应力区

Analytical solution of mode I crack restraining stress zone crack model for material damage
TANG Xue-song,WEI Tian-tian.Analytical solution of mode I crack restraining stress zone crack model for material damage[J].Journal of Changsha University of Science and Technology:Natural Science,2014(2):32-36.
Authors:TANG Xue-song  WEI Tian-tian
Institution:(School of Civil Engineering and Architecture, Changsha University of Science and Technology, Changsha 410004,China)
Abstract:Damage state of a material can be described by a restraining stress zone.The am-plitude and distribution of restraining stresses depend on the material damage degree. Therefore,a restraining stress zone crack model is established,which can describe the ma-terial failure process.Assuming that the restraining stresses have a linear distribution,the mode I restraining stress zone crack model is analytically solved by using the Muskhelishivili approach under the uniformly applied tensile stresses.Analytical solutions of stress intensi-ty factor and crack opening displacement are obtained.The numerical calculations are per-formed.The influences of different factors on the crack opening displacement and stress in-tensity factor are investigated.
Keywords:fracture mechanics  mode I crack  stress intensity factor  crack opening dis-placement  restraining stress zone
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