[1]Cheng stood up,Lu Jifu.Study on the crack problem of functional gradient slats type III [J].Journal of Zhengzhou University (Engineering Science),2006,27(04):89-91.[doi:10.3969/j.issn.1671-6833.2006.04.022]
Copy
Journal of Zhengzhou University (Engineering Science)[ISSN
1671-6833/CN
41-1339/T] Volume:
27卷
Number of periods:
2006年04期
Page number:
89-91
Column:
Public date:
1900-01-01
- Title:
-
Study on the crack problem of functional gradient slats type III
- Author(s):
-
Cheng stood up; Lu Jifu
-
-
- Keywords:
-
- CLC:
-
-
- DOI:
-
10.3969/j.issn.1671-6833.2006.04.022
- Abstract:
-
Most of the existing literature research on the fracture problem of gradient materials assumes that the material properties are exponential functions or power functions of coordinates, and other function forms are rarely used. The author assumes that the reciprocal of the shear modulus of the functional gradient material is a linear function of the coordinates and the Poisson’s ratio is a constant, and the anti-plane crack problem of the functional gradient slats is studied. The Fourier integral transformation technology and transfer matrix method are used to solve the mixed edge value problem into a pair of singular integral equations, and the stress intensity factor of slab cracks under anti-plane loading is obtained by numerical solution of the singular integral equation, and the influence of crack relative size and material heterogeneity on the stress intensity factor is discussed.