The growth of the void in a hyperelastic rectangular plate under a uniaxial extension |
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Authors: | Cheng Changjun Shang Xinchun |
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Institution: | 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 |
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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.Project supported by the National Natural Science Foundation of China |
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Keywords: | hyperelastic rectangular plate finite deformation growth of void variational principle |
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