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)
2015年
2期
156-161
,共6页
一维六方准晶压电材料%保角映射%应力强度因子%机械能释放率
一維六方準晶壓電材料%保角映射%應力彊度因子%機械能釋放率
일유륙방준정압전재료%보각영사%응력강도인자%궤계능석방솔
piezoelectricity of onedimensional hexagonal quasicrystals%conformal mapping%field intensity factors%mechanical strain energy reease rate
用复变函数方法和保角变换研究准晶压电材料中椭圆带不对称裂纹的栿型问题。根据压电准晶材料的基本方程，利用点群的对称性，导出一维六方准晶压电材料反平面问题的控制方程，并利用 Cauchy 积分公式，得到在电不可通边界下的裂纹尖端场的强度因子和机械能释放率的解析表达式。
用複變函數方法和保角變換研究準晶壓電材料中橢圓帶不對稱裂紋的栿型問題。根據壓電準晶材料的基本方程，利用點群的對稱性，導齣一維六方準晶壓電材料反平麵問題的控製方程，併利用 Cauchy 積分公式，得到在電不可通邊界下的裂紋尖耑場的彊度因子和機械能釋放率的解析錶達式。
용복변함수방법화보각변환연구준정압전재료중타원대불대칭렬문적복형문제。근거압전준정재료적기본방정，이용점군적대칭성，도출일유륙방준정압전재료반평면문제적공제방정，병이용 Cauchy 적분공식，득도재전불가통변계하적렬문첨단장적강도인자화궤계능석방솔적해석표체식。
This paper adopted variable function method and the technique of conformal mapping to study the anti-plane problem of two asymmetrical edge cracks emanating from an elliptical hole of piezoe-lectricity of onedimensional hexagonal quasicrystals.Based on the fundamental equations of peizoelasticity of quasicrystal materials and the symmetry of onedimensional hexagonal quasicrystals,one-dimensional piezoelectric crystal material control equations of antiplane problem were derived.Using Cauchy integral formula,the analytical expressions of the field intensity factors and the mechanical strain enegy rete were presented with the assumption that the crack were electrically impermeable.
