T应力对立方准晶中含十字交叉型裂纹的影响

论文研究了立方准晶中含十字交叉型裂纹尖端附近的T应力.采用了积分变换法,将相关边值问题转换为求解奇异积分方程,得到声子场和相位子场的T应力,且可以表示为裂纹张开位移和施加在无穷远处的载荷之和.裂纹张开位移在确定声子场和相位子场的T应力中起着主导作用.同时强调了T应力在立方准晶脆性断裂中的作用.此外,还研究了裂纹臂长度比...

Effect of T-Stress on Cubic Quasicrystals with Unequal Arm Cracks

The T-stress near the tips of a cruciform crack with unequal arms in the cubic quasicrystals is analyzed. The associated boundary value problems can transform to a system of singular integral equations by using the integral transformation technique. According to the stress difference method, T-stresses of phonon field and phason field can be expressed as the sum of an integral involving crack opening displacements and applied loading at infinity. Crack opening displacements play a leading role in determining T-stresses of phonon field and phason field. The role of the T-stresses in brittle fracture for cubic quasicrystals is emphasized. Moreover, the influence of the ratio of two crack-arm lengths b/a and the crack opening displacements on the T-stresses of a cruciform crack is examined.