TY - JOUR

T1 - Continuum Mechanics for Higher Stage Micropolar Materials (2nd Report, Mechanical Balance Laws and Extended Concept of Bimoment)

AU - Shizawa, Kazuyuki

AU - Takahashi, Kunihiro

PY - 1989

Y1 - 1989

N2 - Mechanical balance laws for micropolar materials stage-2 are discussed on the basis of results of the previous report. The balance equations for mass, force and moment in stage-2 are derived by averaging the balance laws of stage-zero up to stage-2. It is indicated that one more balance law has to be considered, which is those of second-order moment, in order to let the balance equation system be a complete set. The missing equation is gives as the average of the balance equation for the above second-order moment of stage-zero. The authors define a new internal force characterizing the materials of stage-2 and name it “bicouple stress”. This is a second order moment due to the geometric mechanism of multimicrostructures of higher-stage micropolar materials. Furthermore, it is discussed that the bicouple stress extends the concept of bimoment in the theory of thin-walled structures to three-dimensional ones.

AB - Mechanical balance laws for micropolar materials stage-2 are discussed on the basis of results of the previous report. The balance equations for mass, force and moment in stage-2 are derived by averaging the balance laws of stage-zero up to stage-2. It is indicated that one more balance law has to be considered, which is those of second-order moment, in order to let the balance equation system be a complete set. The missing equation is gives as the average of the balance equation for the above second-order moment of stage-zero. The authors define a new internal force characterizing the materials of stage-2 and name it “bicouple stress”. This is a second order moment due to the geometric mechanism of multimicrostructures of higher-stage micropolar materials. Furthermore, it is discussed that the bicouple stress extends the concept of bimoment in the theory of thin-walled structures to three-dimensional ones.

KW - Balance Laws

KW - Bimoment

KW - Continuum Mechanics

KW - Higherstage

KW - Internal Rotation

KW - Microtorsional Rotation

KW - Polar Material

KW - Second-order Moment of Force

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U2 - 10.1299/kikaia.55.2363

DO - 10.1299/kikaia.55.2363

M3 - Article

AN - SCOPUS:0024766139

SN - 0387-5008

VL - 55

SP - 2363

EP - 2369

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

IS - 519

ER -