Dynamic crack propagation between two bonded orthotropic plates. (English) Zbl 1121.74453

Matbuly, M. S.

J. Appl. Math. 2004, No. 1, 55-68 (2004).

Summary: The problem of crack propagation along the interface of two bonded dissimilar orthotropic plates is considered. Using Galilean transformation, the problem is reduced to a quasistatic one. Then, using Fourier transforms and asymptotic analysis, the problem is reduced to a pair of singular integral equations with Cauchy-type singularity. These equations are solved using Gauss-Chebyshev quadrature formulae. The dynamic stress intensity factors are obtained in closed form expressions. Furthermore, a parametric study is introduced to investigate the effect of crack growth rate and geometric and elastic characteristics of the plates on values of dynamic stress intensity factors.

MSC:

74R10	Brittle fracture
74K20	Plates