TY - JOUR

T1 - Continuum Mechanics for Higher Stage Micropolar Materials (1st Report, Kinematics)

AU - Takahashi, Kunihiro

AU - Shizawa, Kazuyuki

PY - 1989

Y1 - 1989

N2 - A concept of higher stage polar materials, proposed in the previous report, has extended the usual micropolar theory to the n-stage. It is necessary to construct a generalized continuum mechanics for the higher-stage micropolar materials on the basis of this concept. In the present paper, the kinematics for micropolar materials of stage-2 is discussed as preliminary to this. In order to express the complicated geometric mechanism due to the multimicrostructure of higher stage polar materials, the strain gradient theory is introduced into micropolar theory. The results obtained here are summarized as follows. Micropolar materials of stage-2 have not only the degrees of freedom of displacement and microrotation, which are assigned to the usual micropolar materials of stage-1, but also one of microtorsional rotation. Additionally, transport theorem for each stage is derived.

AB - A concept of higher stage polar materials, proposed in the previous report, has extended the usual micropolar theory to the n-stage. It is necessary to construct a generalized continuum mechanics for the higher-stage micropolar materials on the basis of this concept. In the present paper, the kinematics for micropolar materials of stage-2 is discussed as preliminary to this. In order to express the complicated geometric mechanism due to the multimicrostructure of higher stage polar materials, the strain gradient theory is introduced into micropolar theory. The results obtained here are summarized as follows. Micropolar materials of stage-2 have not only the degrees of freedom of displacement and microrotation, which are assigned to the usual micropolar materials of stage-1, but also one of microtorsional rotation. Additionally, transport theorem for each stage is derived.

KW - Bimoment

KW - Continuum Mechanics

KW - Deformation Gradient

KW - Higherstage

KW - Kinematics

KW - Polar Material

KW - Strain Gradient Theory

KW - Transport Theorem

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U2 - 10.1299/kikaia.55.2356

DO - 10.1299/kikaia.55.2356

M3 - Article

AN - SCOPUS:0024768689

VL - 55

SP - 2356

EP - 2362

JO - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A

JF - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A

SN - 0387-5008

IS - 519

ER -