The subject of the study is the stress-strain state of a remote gas detonation deminer under anti-tank mine explosion. The numerical simulation of this task is provided with three methods available in the LS-DYNA explicit dynamic analysis software: empirical blast loading, Multi-Material Arbitrary Lagrangian-Eulerian, and Smooth Particle Hydrodynamics. Current research includes selecting and validating the initial conditions, calibrating the blast models, and directly simulating the blast loading on the demining device. It was considered the strain hardening in the plastic zone and strain rate-dependent hardening material model for modelling the steel structure of the deminer. The results of the simulations using the three blast modelling approaches are compared for two case studies. The first case is a test (calibration) scenario where the effect of a spherical blast on a fully clamped circular plate is analysed. The second case examines the direct impact of the blast on the structure of the gas-detonation demining device. A comparison of the peak displacement values by simulation time was made. The strength calculations show that the armour plate of the demining device provides sufficient protection, but significant plastic deformations occur in the fasteners and detonation tube because of the blast wave, leading to the failure of the overall structure. As a recommendation, it is proposed to equip the demining device with damping mechanisms to mitigate these effects.