Relations between Mechanical Powers and Thermodynamic Quantities of Micromorphic Continua Based on Lattice Dynamics.

A macroscopic solid is modeled as an assembly of atoms, and macroscopic behaviors of a solid are described with microscopic motions of atoms by means of concept of mesodomain. The relationships between mechanical powers and thermodynamic quantities of the solid are discussed by formulating the law of energy conservation derived from microscopic descriptions in the mesodomain. The fluctuation of the body force is introduced in order to express the moment of body force and the radiant heat source microscopically. The obtained microscopic descriptions show that the mechanical powers of the stresses. moment of body force and volume average stress are equivalent to the divergence of the heat flux, radiant heat source and the rate of internal energy, respectively. These equivalencies can be found in the similarities between the corresponding microscopic descriptions of these values. Finally. it is shown that we can introduce the concepts of two extreme material models. that is Thermal Materials and Mechanical Materials.