Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (7): 633-641.

• 论文 • 上一篇    下一篇

DETERMINATION OF THE PERTURBATION PARAMETER IN LARGE DEFLECTION OF PLATES AND SHALLOW SHELLS BY MEANS OF THE LEAST SQUARE METHOD

陈山林   

  1. Chongqing Institute of Architecture and Engineering, Chongqing
  • 收稿日期:1985-10-05 出版日期:1986-07-18 发布日期:1986-07-18

DETERMINATION OF THE PERTURBATION PARAMETER IN LARGE DEFLECTION OF PLATES AND SHALLOW SHELLS BY MEANS OF THE LEAST SQUARE METHOD

Chen Shan-lin   

  1. Chongqing Institute of Architecture and Engineering, Chongqing
  • Received:1985-10-05 Online:1986-07-18 Published:1986-07-18

摘要: In this paper, the least square method of determination of the perturbation parameter is presented when the perturbation technique is used in the solution of large deflection of axisymmetrical plates and shallow shells. The examples of circular plates are calculated and compared with the exact solution and other perturbation solutions. The results show the best agreement with the exact solution among those perturbation solutions.

关键词: periodical crack, interfacial crack, anisotropic elastoplastic fracture of bi-rnaterial, antiplane problem, Dugdale-Barenblatt (D-B ) model, crack openning displacement (COD)

Abstract: In this paper, the least square method of determination of the perturbation parameter is presented when the perturbation technique is used in the solution of large deflection of axisymmetrical plates and shallow shells. The examples of circular plates are calculated and compared with the exact solution and other perturbation solutions. The results show the best agreement with the exact solution among those perturbation solutions.

Key words: periodical crack, interfacial crack, anisotropic elastoplastic fracture of bi-rnaterial, antiplane problem, Dugdale-Barenblatt (D-B ) model, crack openning displacement (COD)

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