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Interacting Stress Intensity Factors of Multiple Elliptical-Holes and Cracks Under far-field and Arbitrary Surface stresses

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Advances in Applied Mathematics and Mechanics 2022年第1期14卷 125-154页

作者： Wei Yi Qiuhua Rao Wei Zhu Qingqing Shen Zhuo Li Wenbo Ma School of Civil Engineering Central South UniversityChangshaHunan 410083China School of Mathematics and Computational Science Xiangtan UniversityXiangtanHunan 411105China College of Civil Engineering and Mechanics Xiangtan UniversityXiangtanHunan 411105China

Calculating interacting stress intensity factors(SIFs)of multiple ellipticalholes and cracks is very important for safety assessment,stop-hole optimization design and resource exploitation production in underground rock engineering,e.g.,buried tunnels,deep mining,geothermal and shale oil/gas exploitation by hydraulic fracturing technology,where both geo-stresses and surface stresses are applied on buried tunnels,horizontal wells and natural ***,current literatures are focused mainly on study of interacting SIFs of multiple elliptical-holes(or circularholes)and cracks only under far-field stresses without consideration of arbitrary surface ***,our group has proposed a new integral method to calculate interacting SIFs of multiple circular-holes and cracks subjected to far-filed and surface *** new method will be developed to study the problem of multiple elliptical-hole and cracks subjected to both far-field and surface *** this study,based on Cauchy integral theorem,the exact fundamental stress solutions of single elliptical-hole under arbitrarily concentrated surface normal and shear forces are derived to establish new integral equation formulations for calculating interacting SIFs of multiple elliptical-holes and cracks under both far-field and arbitrary surface *** new method is proved to be valid by comparing our results of interacting SIFs with those obtained by Green’s function method,displacement discontinuity method,singular integral equation method,pseudo-dislocations method and finite element *** examples of one elliptical-hole and one crack in an infinite elastic body are given to analyze influence of loads and geometries on interacting *** results show that whenσ_(xx)^(∞)≥σ^(yy′)^(∞),there appears a neutral crack orientation angle b0(without elliptical-hole’s effect).Increasing s¥xx/s¥yy and b/a(close to circularhole)usually decreases b0 of KI and benefits to the layout of stop

关键词： Interacting stress intensity factors multiple elliptical-holes and cracks far-field stresses arbitrary surface stresses integral equation method

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