Use of computer technology allows solving of the most complex applied problems, such as dynamic loading of a solid deformable body under the in uence of a wide range of external loads (seismic, explosive and others). The study of seismic and explosive impact is based on a series of approximations and models, related to the environment's structure and distribution of the seismic impulse and shock waves in this environment. For Moldova as priority challenges, we consider environment monitoring and forecasting of changes of environmental parameters, seismic data collection and processing, modelling of seismic waves in uence on dangerous constructions. The problem of computer estimation of operational condition of potentially dangerous objects is very actual for various regions. The potentially dangerous objects are objects where used, stored, transported or destroyed ammable, explosive and toxic substances (oil depots, gas stations, storages of fertilizers, ammunition depots). Their damage or destruction in the event of seismic impact (or other force majeure) may lead to environmental disasters. Full-scale physical tests in the industry are dicult or expensive; therefore the signi cance of mathematical modelling increases. The modern computational capabilities allow solving of the above-mentioned problems with using numerical algorithms based on nding solutions of complex mathematical physics equations, to take for model creation a lot of information about objects, which interact with each other and with the environment in the model framework.