摘要
采用复变函数法研究了在远场承受均布声子场机械载荷作用下十次对称二维准晶中穿透周期轴的一个圆弧形裂纹。推导了表征声子场和相位子场的4个复应力函数的解析表达式,并由复应力函数获得了两个裂尖处声子场和相位子场应力强度因子、裂面张开位移以及能量释放率的表达式。
A decagonal quasicrystal, which is weakened by an arc-shaped crack penetrating
through the solid along the period direction, and which is subjected to remote uniform phonon stresses,
is investigated by applying the complex variable method which is just developed by the authors. It is
found that the phonon and phason stresses near the crack tips exhibit inverse square root singularities.
The four complex stress functions characterizing the phonon and phason fields are derived. Explicit ex-
pressions for the phonon and phason stress intensity factors, crack opening displacements and energy
release rate are also presented.
出处
《固体力学学报》
CAS
CSCD
北大核心
2003年第2期125-136,共12页
Chinese Journal of Solid Mechanics
基金
国家杰出青年科学基金(10125209)
高等学校优秀青年教师教学科研奖励基金
