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Influence of fractality of fracture surfaces on stress and displacement fields at crack tips

查看全文 作  者:BAO TengFei,WU ZhongRu,GU ChongShi & GU YanLing College of Water Conservancy and Hydropower Engineering,Hohai University,Nanjing 210098,China 高影响力作者 出  处:《Science China(Technological Sciences)》索引2008年第51卷第S2期,共6页高影响力期刊 基  金:Supported by the National Natural Science Foundation of China (Grant Nos.50539030,50539010,50539110 and 50579010);the National Science and Technology Supporting Program (Grant No.2006BAC14B03);the National Science Foundation of Hohai University (Grant No.2008426811) 摘  要:In the classic theory of fracture mechanics,expressions for calculating the stresses and displacements in the vicinity of the crack tip are deduced on the basis of the assumption that a fracture surface is a smooth surface or that a crack is a smooth crack.In fact,the surface of a crack formed during the fracture is usually very irregular.So the real asymptotic form of the stress and displacement fields at the crack tip is different from the classic one.Considering the irregularity of a real fracture surface or a real crack profile,the crack is taken as a fractal one,and then the real asymptotic form at the crack tip is developed by applying Griffith's energy balance principle and fractal geometry.Through the developed asymptotic form,it is discovered that the fractality of the crack reduces the stress singularity at the crack tip. 关 键 词:FRACTURE surface CRACK FRACTAL stress and DISPLACEMENT FIELDS
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