Theory of Micro-Mode Materials and Balance Equations of Thin-Walled Open-Section Members

Hirayama Takayuki, Taguchi Takatoshi, Mizuuchi Takao, Takahashi Kunihiro

doi:10.11345/japannctam.54.0.88.0

Bibliographic Information

Other Title

マイクロモードマテリアルの概念に基づく薄肉開き断面部材のそり拘束ねじり理論

Abstract

It is known that the one dimensional theory of micropolar materials can be regarded as the foundation of the usual beam theory. However, for the theory of thin-walled beams, micropolar theory cannot express out-of-plane displacements of a cross-section that is called warping displacements. In this report, we define a concept of micro-mode materials to express effects of warping displacements. The theory of micro-mode materials introduced here is constructed to include the effects of the microscopic mode of deformation in a cross-section in addition to the rigid rotational deformation. Usual microscopic balance equations of force are written with the form of divergence of a stress tensor. We multiply mode-vectors introduce here as well as usual position vectors to the balance equations with dyadic products. Integrating the obtained equations over the mesoscopic mode volume, and summing up the integrated equations over a whole volume, we finally obtain the balance equations of bimoment. The theory of thin-walled open-section members can be reorganized by the present rigorous approach.

Journal

NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan

NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan 54 (0), 88-88, 2005

National Committee for IUTAM

Details 詳細情報について

CRID: 1390282680569562880

NII Article ID: 130004603579

DOI: 10.11345/japannctam.54.0.88.0

Data Source

JaLC
CiNii Articles
KAKEN

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