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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (5): 476-484.

• 论文 • 上一篇    下一篇

A MATHEMATICAL THEORY OF MATERIALS WITH ELASTIC RANGE AND THE DEFINITION OF BACK STRESS TENSOR

陈良森1, 赵兴华2   

  1. 1. Institute of Engineering Mechanics, Nanchang University, Nanchang 330029, P.R.China;
    2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Universi ty, Shanghai 200072, P.R.China
  • 收稿日期:1998-04-14 修回日期:1998-11-08 出版日期:1999-05-18 发布日期:1999-05-18

A MATHEMATICAL THEORY OF MATERIALS WITH ELASTIC RANGE AND THE DEFINITION OF BACK STRESS TENSOR

Chen Liangsen1, Zhao Xinghua2   

  1. 1. Institute of Engineering Mechanics, Nanchang University, Nanchang 330029, P.R.China;
    2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Universi ty, Shanghai 200072, P.R.China
  • Received:1998-04-14 Revised:1998-11-08 Online:1999-05-18 Published:1999-05-18

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摘要： In this paper, the theory of materi als with elastic range by Lucchesi and Podio-Guidugli (1988) has been generalized. It has also shown that there are some difficulties on the definition of back s tress as the "center" of the yield surface in the Cauchy space. The back stres s tensor is Lagrangian,and must be defined in the Lagrangian stress space.

Abstract: In this paper, the theory of materi als with elastic range by Lucchesi and Podio-Guidugli (1988) has been generalized. It has also shown that there are some difficulties on the definition of back s tress as the "center" of the yield surface in the Cauchy space. The back stres s tensor is Lagrangian,and must be defined in the Lagrangian stress space.

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