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Applied Mathematics and Mechanics (English Edition) ›› 1982, Vol. 3 ›› Issue (5): 633-645.

• Articles • 上一篇    下一篇

ON VARIOUS VARIATIONAL PRINCIPLES IN NONLINEAR THEORY OF ELASTICITY

戴天民   

  1. Southwestern Jiaotong University and liaoning Univeristy
  • 收稿日期:1982-01-15 出版日期:1982-09-18 发布日期:1982-09-18

ON VARIOUS VARIATIONAL PRINCIPLES IN NONLINEAR THEORY OF ELASTICITY

Tai Tien-min   

  1. Southwestern Jiaotong University and liaoning Univeristy
  • Received:1982-01-15 Online:1982-09-18 Published:1982-09-18

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摘要： In the present paper functionals for the various possible main variational principles in the nonlinear theory of e-lasticity are derived from the "full energy principle" and several of them are not found yet in the literatures available. Through the derivation of this paper we suggest a conjecture on the nonexistence of the eleventh and the sixth classes for the variational principles in Table 6.1 of H.C. Hu’s monograph [1].

关键词: crack, elastic-plasticity, crack-line analysis method, crack line, plane stress

Abstract: In the present paper functionals for the various possible main variational principles in the nonlinear theory of e-lasticity are derived from the "full energy principle" and several of them are not found yet in the literatures available. Through the derivation of this paper we suggest a conjecture on the nonexistence of the eleventh and the sixth classes for the variational principles in Table 6.1 of H.C. Hu’s monograph [1].

Key words: crack, elastic-plasticity, crack-line analysis method, crack line, plane stress

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