The book offers a systematic description of the physical and mathematical models of the processes of development of a nuclear explosion in the air and soil and the mechanical effect of the explosion on the air environment and the ground array. The processes of energy transfer to the external environment, the formation and distribution of heat and shock waves, the processes of evaporation and melting of the soil, the formation and distribution of seismic waves in the soil massif, the formation of a funnel and related phenomena. are considered. Particular attention is paid to the influence on the listed processes of boundaries of environments and various inhomogeneities of the soil mass: layered sedimentary soils, cracks, rock faults, and t. p. For researchers and engineers working in the field of continuum mechanics, high-energy physics and mathematical modeling of explosive and impulse loads, as well as for graduate students and senior students of these specialties .