| 一类可压缩超弹性柱体中微孔的径向增长 |
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| 引用本文： | 张文正,程昌钧,袁学刚.一类可压缩超弹性柱体中微孔的径向增长[J].上海力学,2008,29(3). |
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| 作者姓名： | 张文正 程昌钧 袁学刚 |
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| 作者单位： | [1]烟台大学数学与信息科学学院,烟台264005 [2]上海大学力学系上海市应用数学和力学研究所,上海200072 |
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| 摘 要： | 研究了一类可压缩超弹性材料组成的柱体在给定的径向拉伸作用下预存微孔的增长问题.利用能量变分原理将此类问题的数学模型归结为一个二阶非线性常微分方程的边值问题,并通过变数变换求得了方程的参数型解析解,得到了微孔的增长与给定的拉伸之间的精确关系.通过相应的数值算例,解释了材料参数和结构参数对微孔增长的影响,分析了柱体中应力的分布及径向位移的变化情况.
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| 关 键 词： | 可压缩超弹性材料 预存微孔 参数型解析解 径向位移 |
Radial Growth of a Micro-void in a Class of Compressible Hyperelastic Circular Cylinders |
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| ZHANG Wen-zheng YUAN Xue-gang School of Mathematics & Information Science,Yantai University,Yantai ,Chian CHENG Chang-jun.Radial Growth of a Micro-void in a Class of Compressible Hyperelastic Circular Cylinders[J].Chinese Quarterly Mechanics,2008,29(3). |
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| Authors: | ZHANG Wen-zheng YUAN Xue-gang School of Mathematics & Information Science Yantai University Yantai Chian CHENG Chang-jun |
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| Institution: | ZHANG Wen-zheng YUAN Xue-gang School of Mathematics & Information Science,Yantai University,Yantai 264005,Chian CHENG Chang-jun Department of Mechanics,Shanghai Institute of Applied Mathematics , Mechanics Shanghai University,Shanghai 200072,China |
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| Abstract: | A radial growth problem of a pre-existing micro-void centered at a class of compressible hypere- lastic circular cylinders was examined,where the outer surface of the cylinder was subjected to a pre- scribed radial stretch.The corresponding mathematical model was described as a boundary value problem of a second-order nonlinear ordinary differential equation by using the variational principle of energy.The analytic solutions with parametric type were obtained by using the method of variable transformation.A... |
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| Keywords: | compressible hyperelastic material pre-existing micro-void analytic solution with parainetric type radial displacement |
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