Mechanical balance equations for micromorphic model considering lattice dynamics

Motoki Nakane, Hiroyuki Fujinuma, Kazuyuki Shizawa, Kunihiro Takahashi

Research output: Contribution to journalArticle

Abstract

In the previous papers, the authors proposed the concept of the mesodomain which connects microscopic kinematic quantities and macroscopic mechanical ones using an assumption of constrained gradient. However, stress and higher-order stresses obtained from the discussions are not defined as area averages but only as volume averages. In the present paper, mechanical balance equations in the mesodomains are derived based on the conservation law of an atom without the above assumption. Solids are modeled as spring-particle systems in the mesodomains. The averaged values of microscopic quantities over the domain are associated with the center of mass, and macroscopic mechanical balance equations are obtained using these averaged values. Since this model can be regarded as micromorphic continua, we can express Cauchy stress, volume-averaged stress and higher-order stress with microscopic quantities.

Original languageEnglish
Pages (from-to)1096-1103
Number of pages8
JournalNippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Volume63
Issue number609
Publication statusPublished - 1997 May
Externally publishedYes

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Lattice vibrations
Conservation
Kinematics
Atoms

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Mechanical balance equations for micromorphic model considering lattice dynamics. / Nakane, Motoki; Fujinuma, Hiroyuki; Shizawa, Kazuyuki; Takahashi, Kunihiro.

In: Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A, Vol. 63, No. 609, 05.1997, p. 1096-1103.

Research output: Contribution to journalArticle

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