<p>The stress analysis in functionally graded orthotropic materials (FGOMs) containing an edge dislocation with time-dependent Burgers vector under transient dynamic loading is carried out. Structural energy dissipation in the strip is modeled by viscous damping. Using Fourier and Laplace transforms, the present problem is reduced into a system of Cauchy-type singular integral equations which can be solved numerically in the Laplace domain. These equations are solved using the collocation methods to determine dislocation density functions on a crack face. Then, the dynamic stress intensity factors (DSIFs) and dynamic strain energy release rates (DSERRs) are obtained. Technique allows considering any number of cracks with any location in the strip. The effects of the parameters such as the non-homogeneity constants, the geometry parameters, and interaction between cracks on the DSIFs and DSERRs are studied.</p>

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Mixed-mode fracture behavior of FG orthotropic strip with multiple cracks subject to impact loads

  • M. Hassani,
  • M. M. Monfared

摘要

The stress analysis in functionally graded orthotropic materials (FGOMs) containing an edge dislocation with time-dependent Burgers vector under transient dynamic loading is carried out. Structural energy dissipation in the strip is modeled by viscous damping. Using Fourier and Laplace transforms, the present problem is reduced into a system of Cauchy-type singular integral equations which can be solved numerically in the Laplace domain. These equations are solved using the collocation methods to determine dislocation density functions on a crack face. Then, the dynamic stress intensity factors (DSIFs) and dynamic strain energy release rates (DSERRs) are obtained. Technique allows considering any number of cracks with any location in the strip. The effects of the parameters such as the non-homogeneity constants, the geometry parameters, and interaction between cracks on the DSIFs and DSERRs are studied.