| 超弹性矩形板单向拉伸时微孔的增长* |
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| 引用本文： | 程昌钧,尚新春.超弹性矩形板单向拉伸时微孔的增长*[J].应用数学和力学,1997,18(7):573-578. |
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| 作者姓名： | 程昌钧 尚新春 |
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| 作者单位： | 1.上海市应用数学和力学研究所, 上海大学, 上海 2010072; |
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| 基金项目： | 国家自然科学基金，甘肃省自然科学基金 |
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| 摘 要： | 本文研究了含中心微孔的超弹性矩形板在单向拉伸时的有限变形和受力分析.为了考察微孔的存在对矩形板变形和应力的影响,将问题化成一个超弹性环形板的变形和受力分析,并用最小势能原理得到变分近似解.进行了数值计算,分析了微孔的增长情况.
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| 关 键 词： | 超弹性矩形板 有限变形 变分近似解 微孔的增长 |
| 收稿时间： | 1996-12-18 |
The Growth of the Void in a Hyperelastic Rectangular Plate under a Uniaxial Extension |
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| Cheng Changjun.The Growth of the Void in a Hyperelastic Rectangular Plate under a Uniaxial Extension[J].Applied Mathematics and Mechanics,1997,18(7):573-578. |
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| Authors: | Cheng Changjun |
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| Institution: | 1.Shanghai University, Shanghai 200072, P. R. China;2.Lanzhou University, Lanzhou 730000, 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 annuler plate and its approximate solution is obtained from the minimum potential energy principle. The growth of the cavitation is also numerically comptuled and analysed. |
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| Keywords: | hyperelastic rectangular plate finite deformation growth of void variational principle |
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