| 中厚扁壳断裂问题的特征根及特征函数 |
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| 引用本文： | 徐永君,柳春图.中厚扁壳断裂问题的特征根及特征函数[J].固体力学学报,2000,21(3):256-260. |
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| 作者姓名： | 徐永君 柳春图 |
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| 作者单位： | 中国科学院力学研究所,北京,100080 |
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| 基金项目： | 国家自然科学基金 !(19872 0 6 6 )资助项目 |
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| 摘 要： | 证明了含任意切口、任意切口边界的多材料中厚扁壳问题的特征根等于相应的平面切口问题和平板弯曲切口问题两部分的特征根组合。进而证明了中厚扁壳切口问题的特征根等于相应反平面切口问题和平面切口问题的组合。中厚扁壳切口问题的特征根及其对应的0级特征函数均可直接按相应的两类基本问题（反平面切口问题和平面切口问题）进行求解。
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| 关 键 词： | 中厚扁壳 特征根 特征函数 反平面切口 平面切口 平板弯曲 |
| 修稿时间： | 1998-09-25 |
THE EIGENVALUES AND EIGENFUNCTIONS IN SHALLOW SHELL FRACTURE ANALYSIS |
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| Xu Yongjun,Liu Chuntu.THE EIGENVALUES AND EIGENFUNCTIONS IN SHALLOW SHELL FRACTURE ANALYSIS[J].Acta Mechnica Solida Sinica,2000,21(3):256-260. |
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| Authors: | Xu Yongjun Liu Chuntu |
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| Abstract: | Solving eigenvalue of shallow shell with crack/notch, which around the vertex with multi materials, arbitrary opening angles and various surface conditions, is discussed. It is shown that the shallow shell eigenproblem is tantamount to a combination form of a in plane problem and a bending plate problem. Furthermore, it can also be divided into two base parts, one is the anti plane crack/notch problem and the other is in plane crack/notch problem. So we can use the corresponding eigen solving programs or the eigenvalues directly and use the corresponding eigenfunctions (anti plane crack/notch and in plane crack/notch problems) as 0 series eigenfunctions of the shallow shell. |
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| Keywords: | shallow shell eigenvalue eigenfunction anti plane notch in plane notch plate bending |
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