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指数型功能梯度材料十字裂纹问题的应力场通解

General Solution to Stress field of Cruciform Crack in the Functionally Graded Materials with Exponential Type
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摘要 研究指数型功能梯度材料十字裂纹问题,利用指数型功能梯度材料平面问题的应力场通解形式,对十字裂纹问题的应力场做了分析,给出了该问题的应力场通解结果,并利用此结果研究了裂纹尖端的应力强度因子.研究表明,对功能梯度材料平面问题中含不同的裂纹模式的应力场,均可通过利用其平面问题的通解形式来讨论,并给出不同裂纹模式的应力场通解. Cruciform crack in the functionally graded materials with exponential type was studied.The stress field of cruciform crack was analysed by general solution to the plane problem of the functionally graded materials with exponential type.The general solution to the stress field of this problem was given.And stress intensity factor of the crack tip was studied by this result.We got conclusion that the stress field of the different crack models of the founctionally graded materials may be studied through the general solution to its plane problem.The general solution to the stress field of the different crack models is given.
作者 刘琼
出处 《河北北方学院学报(自然科学版)》 2011年第2期8-12,共5页 Journal of Hebei North University:Natural Science Edition
基金 宁夏大学自然科学基金资助项目((E)ndzr09-50)
关键词 功能梯度材料 十字裂纹 应力强度因子 functionally graded material; cruciform crack; stress intensity factor
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