Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (3): 254-261.

• 论文 • 上一篇    下一篇

THE UNIFIED ELASTIC-VISCOSIC-PLASTIC THEORY OF SOLIDS

金问鲁   

  1. Hangzhou Architectural and Civil Engineering DesignInstitute, Hangzhou 310001, P. R. China
  • 收稿日期:1997-04-21 修回日期:1998-09-20 出版日期:1999-03-18 发布日期:1999-03-18

THE UNIFIED ELASTIC-VISCOSIC-PLASTIC THEORY OF SOLIDS

Jin Wenlu   

  1. Hangzhou Architectural and Civil Engineering DesignInstitute, Hangzhou 310001, P. R. China
  • Received:1997-04-21 Revised:1998-09-20 Online:1999-03-18 Published:1999-03-18

摘要: In this paper, an unified elastic-viscosic-plastic theory which can compute the change of elastic, viscosic and plastic stale of each point in the body is proposed. The theory is based on the laws of the thermodynamics and the pseudo elastic postulate. In the paper, the constitutive equations and variational principles are deduced. From which, the finite element method of both space and time may be easily formulated. Note that, by choosing the material parameters properly, the plastic constitutive equations currently used may be given.

关键词: the first and second laws of thermodynamics, pseudo elastic postulate

Abstract: In this paper, an unified elastic-viscosic-plastic theory which can compute the change of elastic, viscosic and plastic stale of each point in the body is proposed. The theory is based on the laws of the thermodynamics and the pseudo elastic postulate. In the paper, the constitutive equations and variational principles are deduced. From which, the finite element method of both space and time may be easily formulated. Note that, by choosing the material parameters properly, the plastic constitutive equations currently used may be given.

Key words: the first and second laws of thermodynamics, pseudo elastic postulate

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals