Hamilton's Principle for Search of Invariants at Creation, Evolution and Destruction of Nanomaterials

Abstract— It is shown that the kinetics of the evolution of a structure of materials under external influences occurs in accordance with the minimum production of entropy and is characterized by a lower absolute value of a free energy. Using the extinction contours, the local curvature of the dispersed crystal lattice of nickel, the stress values and the dislocation density were quantitatively evaluated. Based on the provisions of mesomechanics and nonequilibrium thermodynamics, the positions of the kinetics of physicochemical, mechanical and tribological properties of the metal interface under contact interaction are developed. The substantiation of the search for invariants in the creation, evolution and destruction of nanomaterials from the symmetry properties of space and time under various external influences is given, which has scientific and practical significance.