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Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (7): 615-621.

• 论文 •    下一篇

THE GROWTH OF THE VOID IN A HYPERELASTIC RECTANGULAR PLATE UNDER A UNIAXIAL EXTENSION

程昌钧1, 尚新春2   

  1. 1. Department of Mechanics, Lanzhou University, Lanzhou 730000, P. R. China;
    2. Shanghai University; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China
  • 收稿日期:1996-12-18 出版日期:1997-07-18 发布日期:1997-07-18
  • 基金资助:

    Project supported by the National Natural Science Foundation of China

THE GROWTH OF THE VOID IN A HYPERELASTIC RECTANGULAR PLATE UNDER A UNIAXIAL EXTENSION

Cheng Changjun1, Shang Xinchun2   

  1. 1. Department of Mechanics, Lanzhou University, Lanzhou 730000, P. R. China;
    2. Shanghai University; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China
  • Received:1996-12-18 Online:1997-07-18 Published:1997-07-18
  • Supported by:

    Project supported by the National Natural Science Foundation of China

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摘要： In the presenl paper. the finite deformation and stress analysis for a hyperelasticrectangular plate with a center void under a uniaxial extension is studied. In order toconsider the effect of the exijtence of the void on the deformation and stress of theplate, the problem is reduced to the deformation and stress analysis for a hyperelusticannular plate and its approximate solution is obtained from the minimum potentialenergy principle. The growth of the cavitation iS also nunterically computed andanalysed.

Abstract: In the presenl paper. the finite deformation and stress analysis for a hyperelasticrectangular plate with a center void under a uniaxial extension is studied. In order toconsider the effect of the exijtence of the void on the deformation and stress of theplate, the problem is reduced to the deformation and stress analysis for a hyperelusticannular plate and its approximate solution is obtained from the minimum potentialenergy principle. The growth of the cavitation iS also nunterically computed andanalysed.

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