Equivalence between higher-order stress power and heat flux in energy equation based on lattice dynamics

The essence of macroscopic quantities in solid mechanics can be grasped by expressing these quantities in terms of kinematic and mechanical quantities of atoms In this paper, a method is proposed for obtaining the microscopic definitions of internal forces of continua such as stress, higher-order st resses and heat flux. Moreover, the relation between higher-order stress po wer and heat flux is discussed expressing the first law of thermodynamics w ith microscopic quantities in the mesodomain. Comparing heat flux with high er-order stress power, it is clarified that the divergence of heat flux is equivalent to the total of each order power daze to higher-order stresses.