Applied Mathematics and Mechanics (English Edition) ›› 1985, Vol. 6 ›› Issue (1): 61-66.

• 论文 • 上一篇    下一篇

TWO THEOREMS CONCERNING DISCONTINUITIES IN DYNAMICS OF RIGID-PERFECTLY PLASTIC CONTINUA UNDER FINITE DEFORMATION

黄筑平   

  1. Peking University, Beijing
  • 收稿日期:1984-04-01 出版日期:1985-01-18 发布日期:1985-01-18

TWO THEOREMS CONCERNING DISCONTINUITIES IN DYNAMICS OF RIGID-PERFECTLY PLASTIC CONTINUA UNDER FINITE DEFORMATION

Huang Zhu-ping   

  1. Peking University, Beijing
  • Received:1984-04-01 Online:1985-01-18 Published:1985-01-18

摘要: In this paper the results of ref [1] are gentralized. Two theorems concerning discontimsities in dynemics of rigid-perfectly plastic continua under finite deformation are proved, namely: i) the traction on the interface between the rigid and the plastic regions is contineous and u) when the interface moves from the plastic region into the rigid region, the rate of deformation is continuous too. These conclusions can also be applied to structures such as beams. pletes and shells in which the shear deformation and rotatory inertia are considered.

关键词: crack-tip field, dynamic propagating, viscoplastic

Abstract: In this paper the results of ref [1] are gentralized. Two theorems concerning discontimsities in dynemics of rigid-perfectly plastic continua under finite deformation are proved, namely: i) the traction on the interface between the rigid and the plastic regions is contineous and u) when the interface moves from the plastic region into the rigid region, the rate of deformation is continuous too. These conclusions can also be applied to structures such as beams. pletes and shells in which the shear deformation and rotatory inertia are considered.

Key words: crack-tip field, dynamic propagating, viscoplastic

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