| 一种各向同性不可压超弹性材料球体的空穴分岔问题的研究 |
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| 引用本文： | 宋玉娥.一种各向同性不可压超弹性材料球体的空穴分岔问题的研究[J].北京工业职业技术学院学报,2008,7(4):6-10. |
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| 作者姓名： | 宋玉娥 |
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| 作者单位： | 北京工业职业技术学院,北京,100042 |
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| 摘 要： | 研究了各向同性不可压超弹性材料球体在表面均匀拉伸死载荷作用下的空穴分岔问题，得到了描述球体内部的空穴生成和增长的空穴分岔方程，证明了空穴分岔方程的平凡解支上存在唯一的分岔点，并给出了分岔的辨别条件；利用奇点理论给出了空穴分岔方程在分岔点的等价正规形，并利用最小势能原理讨论了空穴分岔方程的稳定性。
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| 关 键 词： | 各向同性不可压超弹性材料 应变能函数 空穴分岔 能量分析 |
On Problems of Bifurcation for a Solid Sphere Composed of Isotropic Incompressible Hyper-elastic Materials |
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| Song Yue.On Problems of Bifurcation for a Solid Sphere Composed of Isotropic Incompressible Hyper-elastic Materials[J].Journal of beijing vocational & technical institute of industry,2008,7(4):6-10. |
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| Authors: | Song Yue |
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| Institution: | Song Yu,e(Beijing Polytechnic College,Beijing 100042,China) |
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| Abstract: | In this dissertation,problems of bifurcation for a solid sphere composed of isotropic incompressible hyper-elastic materials,subjected to a surface tensile dead load,are examined.The cavitated bifurcation equation that describes cavity formation and growth in interior of the sphere is obtained.It is proved that there exists a unique bifurcation point on the trivial solution of the cavitated bifurcation equation,and the distinguished conditions of right-bifurcation are carried out.Equivalent normal forms of ... |
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| Keywords: | Incompressible hyper-elastic material strain-energy function cavitated bifurcation energy analysis |
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