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Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (12): 1375-1380.

• 论文 • 上一篇    下一篇

RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CONTINUUM THEORIES(Ⅶ)—INCREMENTAL RATE TYPE

戴天民   

  1. Department of Mathematics & Center for the Application of Mathematics, Liaoning University, Shenyang 110036, P.R.China
  • 收稿日期:2002-09-06 修回日期:2003-06-27 出版日期:2003-12-18 发布日期:2003-12-18
  • 通讯作者: DAI Tian-min,Original Member of Editorial Committee,AMM
  • 基金资助:
    the National Natural Science Foundation of China(10072024);the Research Foundation of Liaoning Education Committee(990111001)

RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CONTINUUM THEORIES(Ⅶ)—INCREMENTAL RATE TYPE

DAI Tian-min   

  1. Department of Mathematics & Center for the Application of Mathematics, Liaoning University, Shenyang 110036, P.R.China
  • Received:2002-09-06 Revised:2003-06-27 Online:2003-12-18 Published:2003-12-18
  • Supported by:
    the National Natural Science Foundation of China(10072024);the Research Foundation of Liaoning Education Committee(990111001)

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摘要： The purpose is to establish the rather complete equations of motion, boundary conditions and equation of energy rate of incremental rate type for micropolar continua. To this end the rather complete definitions for rates of deformation gradient and its inverse are made. The new relations between various stress and couple stress rate tensors are derived. Finally, the coupled equations of motion, boundary conditions and equation of energy rate of incremental rate type for continuum mechanics are obtained as a special case.

Abstract: The purpose is to establish the rather complete equations of motion, boundary conditions and equation of energy rate of incremental rate type for micropolar continua. To this end the rather complete definitions for rates of deformation gradient and its inverse are made. The new relations between various stress and couple stress rate tensors are derived. Finally, the coupled equations of motion, boundary conditions and equation of energy rate of incremental rate type for continuum mechanics are obtained as a special case.

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