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Coupling Effects of Void Shape and Void Size on the Growth of an Elliptic Void in a Fiber-Reinforced Hyper-Elastic Thin Plate

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Abstract

The growth of a prolate or oblate elliptic micro-void in a fiber reinforced anisotropic incompressible hyper-elastic rectangular thin plate subjected to uniaxial extensions is studied within the framework of finite elasticity. Coupling effects of void shape and void size on the growth of the void are paid special attention to. The deformation function of the plate with an isolated elliptic void is given, which is expressed by two parameters to solve the differential equation. The solution is approximately obtained from the minimum potential energy principle. Deformation curves for the void with a wide range of void aspect ratios and the stress distributions on the surface of the void have been obtained by numerical computation. The growth behavior of the void and the characteristics of stress distributions on the surface of the void are captured. The combined effects of void size and void shape on the growth of the void in the thin plate are discussed. The maximum stresses for the void with different sizes and different void aspect ratios are compared.

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Authors and Affiliations

  1. Department of Mechanics, Shanghai University, Shanghai, 200444, China

    Jiusheng Ren, Hanhai Li & Changjun Cheng

  2. Shanghai Key Laboratory of Mechanics in Energy and Environment Engineering, Shanghai, 200444, China

    Jiusheng Ren & Changjun Cheng

  3. College of Science, Dalian Nationalities University, Dalian, 116600, China

    Xuegang Yuan

Authors
  1. Jiusheng Ren
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  2. Hanhai Li
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  3. Changjun Cheng
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  4. Xuegang Yuan
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Corresponding author

Correspondence to Jiusheng Ren.

Additional information

This work is supported by the National Natural Science Foundation of China (Nos. 10772104 and 10872045), the Innovation Project of Shanghai Municipal Education Commission (No. 09YZ12), and the Shanghai Leading Academic Discipline Project (No. S30106).

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Ren, J., Li, H., Cheng, C. et al. Coupling Effects of Void Shape and Void Size on the Growth of an Elliptic Void in a Fiber-Reinforced Hyper-Elastic Thin Plate. Acta Mech. Solida Sin. 25, 312–320 (2012). https://doi.org/10.1016/S0894-9166(12)60028-7

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  • DOI: https://doi.org/10.1016/S0894-9166(12)60028-7

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