Antiplane shear impact of multiple coplanar Griffith cracks in an isotropic functionally graded strip

The antiplane shear impact response of multiple coplanar Griffith cracks in a functionally graded strip is studied. Laplace transform, Fourier transform and dislocation density functions are introduced to reduce the problem to a Cauchy singular integral equation, which can be numerically solved to calculate the dynamic stress intensity factor. The effects of nonhomogeneity of material, width of strip and relative position of cracks on the dynamic fracture behaviors are investigated. The peak of the dynamic stress intensity factor can be suppressed by increasing the shear modulus’ gradient. If the strip is thinner, increasing the strip’s width can also reduce the peak value of the dynamic stress intensity factor. The present results have potential, both theoretical and applied, in structural design and the prevention of structure failure.