Study of an infinite strip containing a Dugdale crack parallel to its boundaries under antiplane shear loading

The elastostatic antiplane problem of an infinite strip containing a Dugdale crack parallel to its boundaries is formulated in term of a singular integral equation. The resolution is done using Chebyshev polynomials. Special care is needed to take into account the presence of jump discontinuities in the loading distribution along the crack lips. The obtained result is the evolution of the crack tip with the applied loading.