Continuum Mechanics for Higher-Stage Micropolar Materials (3rd Report, Strain and Displacement)

Kazuyuki Shizawa, Seiichi Kobayashi, Kunihiro Takahashi

研究成果: Article査読


In the previous reports, the authors proposed the concept of a higher-stage micropolar continuum, and then formulated their kinematics and mechanical balance laws. In the present paper, strain tensors characterizing deformation of micropolar materials of stage-2 are newly defined on the basis of the kinematics presented in the 1st report. Some equations are derived, which express relations between material strain tensors and spactial ones, and between the strain rate tensors and the kinematical quantities (e.g., deformation rate tensor, angular velocity vector, etc.) defined in the 1st report. While, new displacement vectors and tensors which are peculiar to micropolar materials of stage-2 are defined, and the relations between strains and displacements are obtained. Furthermore, linearizing the strain-displacement relations, strain tensors defined here are discussed geometrically. The strain tensors are suitable for expressing the constitutive equation of bicouple stress which is the generalized bimoment in the theory of thin walls.

ジャーナルTransactions of the Japan Society of Mechanical Engineers Series A
出版ステータスPublished - 1991

ASJC Scopus subject areas

  • 材料科学一般
  • 材料力学
  • 機械工学


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