Abstract: The dynamic stress intensity factors in a half-plane weakened by several finite moving cracks are investigated by employing the Fourier complex transformation. Stress analysis is performed in a half-plane containing a single dislocation and without dislocation. An exact solution in a closed form to the stress fields and displacement is obtained. The Galilean transformation is used to transform between coordinates connected to the cracks. The stress components are of the Cauchy singular kind at the location of dislocation and the point of application of the force. Numerical examples demonstrate the influence of crack length and crack running velocity on the stress intensity factor.

Key words: sequence of nonexpansive mappings, viscosity approximation, common fixed point, demi-closed principle, weakly sequentially continuous duality mapping, normalized duality mapping, moving crack, stress intensity factor, half-plane, Cauchy singularity