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利用Stroh公式,在精确边界条件下求解二维无限大压电介质中椭圆型孔口在无穷远力—电联合载荷作用下的精确解,在此基础上利用自洽法得到裂纹的真实张开位移。基于应变能密度因子理论,研究Ⅰ型裂纹的断裂失效行为。结果表明,应变能密度因子随着电场的增加而增大,正电场加速裂纹扩展,而负电场阻止裂纹扩展。真实裂纹的应变能密度因子总是介于可导通和不可导通裂纹之间。可导通裂纹的应变能密度因子与外加电场无关,在正电场的情形下,不可导通裂纹的应变能密度因子大于可导通裂纹的应变能密度因子,而在负电场下则相反。
Using the Stroh formula, the exact solution of the elliptical orifice in a two-dimensional infinite piezoelectric medium under infinite force-electric combined load is solved under the exact boundary conditions. On this basis, the real crack opening is obtained by the self-consistent method Displacement. Based on the theory of strain energy density factor, the failure behavior of type Ⅰ crack is studied. The results show that the strain energy density factor increases with the increase of the electric field, the positive electric field accelerates the crack growth, and the negative electric field prevents the crack growth. The real crack strain energy density factor is always between the conductive and non-conductive cracks. In the case of a positive electric field, the strain energy density factor of a nonconductive crack is larger than the strain energy density factor of a conducting crack, whereas the opposite is true for a negative electric field.