内蒙古师范大学学报（自然科学汉文版）
內矇古師範大學學報（自然科學漢文版）
내몽고사범대학학보（자연과학한문판）
JOURNAL OF INNER MONGOLIA NORMAL UNIVERSITY(NATURAL SCIENCE EDITION)
2014年
5期
540-543,548
,共5页
准晶%各向同性%半无限裂纹%保角映射%Dugdale 模型%内聚力区域
準晶%各嚮同性%半無限裂紋%保角映射%Dugdale 模型%內聚力區域
준정%각향동성%반무한렬문%보각영사%Dugdale 모형%내취력구역
quasicrystal%isotropic body%semi-infinite crack%conformal mapping%Dugdale model%cohesive force zone
研究平面弹性中点群10mm 十次对称二维准晶和经典弹性半无限裂纹的 Dugdale 模型问题。采用保角变换和复分析理论，将这个问题转化成一组函数方程，从而推导出相应的应力强度因子和内聚力区域。结果显示，准晶声子场与各向同性体应力强度因子、内聚力区域尺寸是一致的。
研究平麵彈性中點群10mm 十次對稱二維準晶和經典彈性半無限裂紋的 Dugdale 模型問題。採用保角變換和複分析理論，將這箇問題轉化成一組函數方程，從而推導齣相應的應力彊度因子和內聚力區域。結果顯示，準晶聲子場與各嚮同性體應力彊度因子、內聚力區域呎吋是一緻的。
연구평면탄성중점군10mm 십차대칭이유준정화경전탄성반무한렬문적 Dugdale 모형문제。채용보각변환화복분석이론，장저개문제전화성일조함수방정，종이추도출상응적응력강도인자화내취력구역。결과현시，준정성자장여각향동성체응력강도인자、내취력구역척촌시일치적。
The present study aims at determining the solutions of the Dugdale model for a semi-infinite crack body and point group 10mm decagonal quasicrystals.Conformal mapping and complex analysis theory are employed here,and the analytical approach leads to establish a few equations,which allows the exact calculation of the corresponding stress intensity factors and the size of cohesive force zone.The results show that the stress intensity factors and the cohesive force zone size of quasicrystals and isotropic body are consistent in phonon field,and provide a theoretical basis for the fracture analysis of them.
