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

Y. Yasui, K. Shizawa, K. Takahashi

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)240-246
Number of pages7
JournalJournal of Engineering Materials and Technology, Transactions of the ASME
Volume121
Issue number2
DOIs
Publication statusPublished - 1999 Apr

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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