|
Keywords
|
Torsional dynamic loading, Circular cross-section bar, FG coating layer, Torsional rigidity, Distributed dislocation method
|
|
Abstract
|
Analytical transient analysis of a functionally graded (FG) coated cylindrical bar weakened by multiple radial
cracks under torsional transient loading is presented. The solution corresponding to a Volterra-type screw
dislocation is achieved using the Fourier and Laplace transforms in the spatial and temporal domains, respectively.
The obtained dislocation stress field is used to develop singular integral equations in terms of the unknown
dislocation density function for the evaluation of multiple radial cracks. The resulting Cauchy integral equations
are reduced to a set of algebraic equations and are solved numerically to determine the dislocation density
functions. The achieved results are employed to evaluate the dynamic stress intensity factors (DSIFs) at the crack
tips and the torsional rigidity of the FG coated circular cross-section bar with multiple embedded radial cracks. In
addition, several numerical examples are presented to verify the results and to explore the effects of transient
loading, FG coating layer, cracks position and interaction between them on the DSIFs and torsional rigidity of the
FG coated cracked bars.
|