Author/Authors :
Mahmoudi Monfared, Mojtaba Faculty of Engineering - University of Zanjan, Zanjan, Iran , Sourki, Reza Department of Mechanical Engineering - Hashtgerd Branch, Islamic Azad University, Alborz, Iran , Yaghoubi, Reza Department of Mechanical Engineering - University of Tarbiat Modares, Tehran, Iran
Abstract :
The present paper deals with the mixed mode fracture
analysis of a weakened orthotropic half-plane with
multiple cracks propagation. The orthotropic half-plane
contains Volterra type glide and climb edge dislocations.
It is assumed that the medium is under in-plane loading
conditions. The distributed dislocation technique is used
to obtain integral equations for the dynamic problem of
multiple smooth cracks which are located in an
orthotropic half-plane. At first, with the help of Fourier
transform the dislocation problem is solved and the stress
fields are obtained. The integral equations are of Cauchy
type singularity and are solved numerically to obtain the
dislocation densities on the surface of several cracks to
determine the dynamic stress intensity factors on the
crack tips. Several numerical examples are solved to
evaluate mode I and mode II dynamic stress intensity
factors to show the effects of the orthotropy parameters,
crack lengths, and crack speed on the dynamic stress
intensity factors.
Keywords :
Distributed dislocation technique , Multiple cracks , Dynamic stress intensity factors , Mixed mode