Dynamic stress concentration of a smooth moving punch influenced by a shear wave in an initially stressed dry sandy layer

In the present model, we have analyzed the dynamic stress concentration of a semi-infinite smooth moving punch on the shear wave propagation in an initially stressed dry sandy strip. For the analytical solution of the problem, the Wiener-Hopf technique and two-sided Fourier integral transforms have been used. The expression of dynamic stress concentration for the force of a constant intensity has been determined in closed-form. Noticeable effects of the speed of the moving punch, horizontal initial stress, vertical initial stress, and sandiness parameter on the dynamic stress concentration in an initially stressed dry sandy strip have been unraveled and depicted by numerical computations and graphical demonstrations. Further, the expression of dynamic stress concentration for the case of constant load has been deduced from the obtained expression of dynamic stress concentration. Comparison of dynamic stress concentration performed for different cases of initial stresses and differently configured strips serve as one of the major highlights of the present problem. Moreover, for the sake of validation, the obtained results for constant load have been matched with the pre-established results as a particular case of the problem.