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The growth of the void in a hyperelastic rectangular plate under a uniaxial extension

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Abstract

In the present paper, the finite deformation and stress analysis for a hyperelastic rectangular plate with a center void under a uniaxial extension is studied. In order to consider the effect of the existence of the void on the deformation and stress of the plate, the problem is reduced to the deformation and stress analysis for a hyperelastic annular plate and its approximate solution is obtained from the minimum potential energy principle. The growth of the cavitation is also numerically computed and analysed.

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Authors and Affiliations

  1. Department of Mechanics, Lanzhou University, 730000, Lanzhou, P. R. China

    Cheng Changjun & Shang Xinchun

  2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072, Shanghai, P. R. China

    Cheng Changjun

Authors
  1. Cheng Changjun
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  2. Shang Xinchun
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Project supported by the National Natural Science Foundation of China

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Changjun, C., Xinchun, S. The growth of the void in a hyperelastic rectangular plate under a uniaxial extension. Appl Math Mech 18, 615–621 (1997). https://doi.org/10.1007/BF00127009

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  • DOI: https://doi.org/10.1007/BF00127009

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