Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (3): 249-254.

• 论文 •    下一篇

EQUATIONS OF MOTION AND BOUNDARY CONDITIONS OF INCREMENTAL RATE TYPE FOR POLAR CONTINUA

戴天民   

  1. Center for the Application of Mathematics & Department of Mathematics, Liaoning University, Shenyang 110036, P.R.China
  • 收稿日期:1998-09-28 出版日期:2000-03-18 发布日期:2000-03-18
  • 基金资助:
    the National Science Foundation of China (19472032);the Research Foundation of Liaoning Education committee (type A)

EQUATIONS OF MOTION AND BOUNDARY CONDITIONS OF INCREMENTAL RATE TYPE FOR POLAR CONTINUA

Dai Tianmin   

  1. Center for the Application of Mathematics & Department of Mathematics, Liaoning University, Shenyang 110036, P.R.China
  • Received:1998-09-28 Online:2000-03-18 Published:2000-03-18
  • Supported by:
    the National Science Foundation of China (19472032);the Research Foundation of Liaoning Education committee (type A)

摘要: The relations between various couple stress tensors and their change rates are derived. The equations of angular momentum and the corresponding boundary conditions of incremental rate type are presented. Thus the equations of motion and the boundary conditions of incremental rate type of Cauchy form, Piola form and Kirchhoff form for polar continua are obtained in combination of these results with those for classical continuum mechanics derived by Kuang Zhenbang.

Abstract: The relations between various couple stress tensors and their change rates are derived. The equations of angular momentum and the corresponding boundary conditions of incremental rate type are presented. Thus the equations of motion and the boundary conditions of incremental rate type of Cauchy form, Piola form and Kirchhoff form for polar continua are obtained in combination of these results with those for classical continuum mechanics derived by Kuang Zhenbang.

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