| 弹性力学广义平面应力的精化理论 |
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| 引用本文： | 罗长虹,王炜.弹性力学广义平面应力的精化理论[J].固体力学学报,2003,24(2):192-196. |
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| 作者姓名： | 罗长虹 王炜 |
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| 作者单位： | 北京大学力学与工程科学系,北京,100871 |
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| 基金项目： | 教育部博士点基金(2000000112)，国家自然科学基金(10172003) |
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| 摘 要： | 从Papkovich-Neuber通解出发，导出了弹性力学广义平面应力问题的精化理论控制方程．若取零阶近似表示，方程即为通常弹性力学平面应力问题的平衡方程．对略去h^2及以上高阶项的八阶方程给出了通解．
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| 关 键 词： | 弹性力学 广义平面应力 精化理论 通解 平衡方程 控制方程 |
| 修稿时间： | 2001年6月26日 |
REFINED THEORY OF GENERALIZED PLANE-STRESS PROBLEMS IN ELASTICITY |
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| Luo Changhong,Wang Wei.REFINED THEORY OF GENERALIZED PLANE-STRESS PROBLEMS IN ELASTICITY[J].Acta Mechnica Solida Sinica,2003,24(2):192-196. |
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| Authors: | Luo Changhong Wang Wei |
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| Affiliation: | Luo Changhong,Wang Wei Department of Mechanics & Engineering Sciences,Beijing University,Beijing. 100871 |
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| Abstract: | The governing differential functions of refined theory of generalized plane-stress prob-
lems in elasticity is defived from the Papkovich-Neuber solution. If a zero-order approximation is tak-
en, the equations obtained will become the conventional elastic balance equations of plane-stress situ-
ation. A generalized solution is obtained from the eighth-order equations when terms higher than h~2 are
neglected. |
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| Keywords: | plane-stress refined theory general solution of elasticity |
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