Affiliation:
1. Department of Mechanical Engineering, Keio University, 3-14-1 Hiyoshi Kohoku Yokohama 223-8522, Japan
Abstract
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 stresses and heat flux. Moreover, the relation between higher-order stress power and heat flux is discussed expressing the first law of thermodynamics with microscopic quantities in the mesodomain. Comparing heat flux with higher-order stress power, it is clarified that the divergence of heat flux is equivalent to the total of each order power due to higher-order stresses.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science
Reference15 articles.
1. Askar, A., 1985, Lattice Dynamical Foundations of Continuum Theories, World Scientific, Singapore.
2. Bardenhangen
S.
, and TriantafyllidisN., 1994, “Derivation of Higher Order Gradient Continuum Theories in 2,3-D Non-Linear Elasticity from Periodic Lattice Models,” J. Mech. Phys. Solids, Vol. 42, pp. 111–139.
3. Ciccotti, G., Frenkel, D., and McDonald, I. R., 1987, Simulation of Liquids and Solids, North-Holland.
4. Eringen
A. C.
, and SuhubiE. S., 1964, “Nonlinear Theory of Simple Micro-Elastic Solids,” Int. J. Eng. Sci., Vol. 2, pp. 189–203.
5. Eringen
A. C.
, 1970, “Balance Laws of Micromorphic Mechanics,” Int. J. Engng. Sci., Vol. 8, pp. 819–828.
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