Microscopic expressions of stress and higher-order stresses in metals based on lattice dynamics

Yoshihiro Yasui, Kenshin Yasui, Kazuyuki Shizawa, Kunihiro Takahashi

Research output: Contribution to journalArticlepeer-review


The essence of macroscopic quantities in solid mechanics can be grasped by expressing these quantities with kinematic and mechanical quantities of atoms. In this paper, a method is proposed to obtain the microscopic expressions of macroscopic quantities.The concept of mesodomain is introduced in macroscopic materials so that the kinematic and mechanical quantities of atoms are averaged in this domain.The domains are associated with these averaged values and are regarded as infinitesimal elements of continua.Macroscopic balance equations and boundary conditions not only for stress but also for higher-order stresses are derived by using the principle of virtual power described with the above averaged values. The stress and higher-order stresses are expressed with the microscopic quantities which can be obtained from the molecular dynamics.

Original languageEnglish
Pages (from-to)1355-1361
Number of pages7
JournalZairyo/Journal of the Society of Materials Science, Japan
Issue number12
Publication statusPublished - 1997


  • Atom
  • Balance equations
  • Higher-order stress
  • Lattice dynamics
  • Mesodomain
  • Molecular dynamics
  • Solid mechanics

ASJC Scopus subject areas

  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


Dive into the research topics of 'Microscopic expressions of stress and higher-order stresses in metals based on lattice dynamics'. Together they form a unique fingerprint.

Cite this