Abstract. This article explores the prospects of classical continuum mechanics in the context of the experimental advancements of the 21st century and the concepts proposed by the renowned scientific school of Academician G. G. Cherny. The theoretical foundation of the study relies on the conservation laws of continuum mechanics, classical electromagnetic field theory, and Faraday’s lines of force observed in experiments. Faraday’s electric lines of force are presented as gradients of the electric potential. The magnetic field, generated by moving charges, is also represented through magnetic lines of force by introducing its potential and vortex components. In the stationary case, the theory simplifies to the unified Hooke – Newton – Coulomb law, expressed as a quasilinear Poisson – Boltzmann equation, which provides a unified framework for modeling gravitational, electromagnetic, strong, and weak force fields. In the non-stationary case, the theory extends to an augmented system of Maxwell’s electromagnetic equations. This study offers a substantiated formulation of the future prospects of classical continuum mechanics and includes illustrative demonstration examples.

Keywords: continuum mechanics, lines of force, electrodynamics, field theory

For citation: Ivanov M. Ya., Levin V. A., Markov V. V. Prospects of continuum mechanics in the light of 21st century experiments. Aerospace Engineering and Technology. 2024. Vol. 2, no. 4, pp. 15–32. DOI 10.52467/2949-401X-2024-2-4-15-32. EDN RNGLLJ (In Russian)