Equivalence Between Higher-Order Stress Power and Heat Flux in Energy Equation Based on Lattice Dynamics

[+] Author and Article Information
Y. Yasui, K. Shizawa, K. Takahashi

Department of Mechanical Engineering, Keio University, 3-14-1 Hiyoshi Kohoku Yokohama 223-8522, Japan

J. Eng. Mater. Technol 121(2), 240-246 (Apr 01, 1999) (7 pages) doi:10.1115/1.2812371 History: Received June 30, 1998; Revised November 26, 1998; Online November 27, 2007


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.

Copyright © 1999 by The American Society of Mechanical Engineers
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