应用数学和力学2026，Vol.47Issue(8)：978-989,12.DOI:10.21656/1000-0887.460204
表面裂纹与任意杂质相互作用的半解析研究:裂纹角度、杂质材质与位置效应的系统分析
A Semi-Analytical Study of the Interaction Between Surface Cracks and Arbitrary Inhomogeneities:Systematic Analysis of Crack Angles,Material Contrasts,and Positional Effects
摘要
Abstract
A unified semi-analytical framework combining the numerical equivalent inclusion method(NEIM)and the distributed dislocation technique(DDT)was employed to investigate the interaction between surface cracks and arbitrarily shaped inhomogeneities in a half-plane.Several representative examples were simulated to systematically examine the effects of crack angles,inhomogeneity stiffnesses,and the inhomogeneity distances from the free surface on the stress intensity factors and local stress fields.The results show that,the crack an-gle leads to notable changes in the crack-tip field and induces pronounced mode coupling.Stiff inhomogeneities decrease Mode Ⅰ stress intensity factor but increase Mode Ⅱ,whereas soft inhomogeneities exhibit the oppo-site trend.As the inhomogeneity moves farther from the free surface,its perturbation to the crack-tip field be-comes significantly weaker.The semi-analytical results agree well with the finite element solutions,with dis-crepancies below 4.5%,demonstrating the accuracy and efficiency of the present framework.The numerical ex-amples provide clear insight into the dominant mechanisms governing crack-inhomogeneity interaction under multiple influencing parameters.关键词
表面裂纹/杂质/半解析方法/应力强度因子Key words
surface crack/inhomogeneity/semi-analytical method/stress intensity factor分类
数理科学引用本文复制引用
杨博政,宋恒旭,李璞,金晓清..表面裂纹与任意杂质相互作用的半解析研究:裂纹角度、杂质材质与位置效应的系统分析[J].应用数学和力学,2026,47(8):978-989,12.基金项目
中国科学院战略先导B类项目(XDB0620101) （XDB0620101）
国家自然科学基金(52205192 （）
52575201 （）
12502114) （）
