论文部分内容阅读
讨论无限大压电介质、在无限远处均匀的反平面力载荷和平面内电载荷作用下的椭圆孔口问题 ,计算得到椭圆空口扩展时的能量释放率G。结果表明 ,能量释放率不仅与外载荷、椭圆的长半轴有关 ,而且还与α、β和γ三个参数有关。这里的α为椭圆的短半轴b与长半轴a的比 ,该参数决定椭圆孔的形状 ,β为椭圆孔内介质的压电系数与压电介质的有效压电系数的比 ,γ为在椭圆孔口扩展过程中长、短半轴的变化之比 ,表征椭圆孔口形状的变化。当椭圆的短半轴b→ 0时 ,椭圆孔口变为裂纹 ,能量释放率与α β和γ β有关。
In this paper, we discuss the infinite piezoelectric medium, the uniform anti-plane force load at infinity and the elliptical orifice problem under the plane electric load, and calculate the energy release rate G when the elliptical orifice expands. The results show that the energy release rate is not only related to the external load and the long axis of the ellipse, but also to the three parameters α, β and γ. Where α is the ratio of the minor axis b to the major axis a of the ellipse, which determines the shape of the elliptical aperture, β is the ratio of the piezoelectric coefficient of the medium in the elliptical aperture to the effective piezoelectric coefficient of the piezoelectric medium, and γ is The ratio of the change of long axis and short axis in the process of elliptical orifice expansion characterizes the change of elliptical orifice shape. When the short axis of ellipse b → 0, the elliptical orifice becomes a crack, and the energy release rate is related to α β and γ β.