Some problems of nonlinear mechanics in geophysics, planetology, and strength of materials

We generalize results of investigations in nonlinear mechanics as applied to the phenomena at the interface between strength of materials, stability of discrete-continuous complex systems, and physicoengineering problems of verifying the unified theories of fundamental fields. The principle of a fundamental triad is formulated. In this case, systems analysis can be useful for simulating the dynamics of complex discrete-continuous mechanical systems of different dimensional scales.