| 横观各向同性含液饱和多孔介质中应力波传播的特征分析 |
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| 引用本文： | 刘颖,刘凯欣.横观各向同性含液饱和多孔介质中应力波传播的特征分析[J].应用数学和力学,2004,25(6):599-606. |
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| 作者姓名： | 刘颖 刘凯欣 |
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| 作者单位： | 北京大学 力学与工程科学系, 北京100871;2.山东理工大学 机械工程系, 山东 淄博 255000 |
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| 基金项目： | 国家自然科学基金资助项目(10232040,0302002)，国家杰出青年科学基金资助项目(10025212) |
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| 摘 要： | 根据广义特征理论，对横观各向同性含液饱和多孔介质中应力波传播特性进行了特征分析．给出了特征曲面的微分方程以及沿次特征线的相容条件，得到了波阵面的解析表达式．详细地讨论了应力波在横观各向同性含液饱和多孔介质中传播时，其速度曲面和波阵面的形状及性质．分析结果亦表明，纯固体中应力波传播的特征方程，是含液饱和多孔介质中应力波特征方程的特例．
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| 关 键 词： | 特征分析 波阵面 含液饱和多孔介质 横观各向同性 应力波 |
| 文章编号： | 1000-0887(2004)06-0599-08 |
| 收稿时间： | 2002-12-03 |
| 修稿时间： | 2002年12月3日 |
Characteristic Analysis for Stress Wave Propagation in Transversely Isotropic Fluid-Saturated Porous Media |
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| LIU Ying.Characteristic Analysis for Stress Wave Propagation in Transversely Isotropic Fluid-Saturated Porous Media[J].Applied Mathematics and Mechanics,2004,25(6):599-606. |
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| Authors: | LIU Ying |
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| Institution: | Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P. R. China; |
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| Abstract: | According to generalized characteristic theory, a characteristic analysis for stress wave propagation in transversely isotropic fluid_saturated porous media was performed. The characteristic differential equations and compatibility relations along bicharacteristics were deduced and the analytical expressions for wave surfaces were obtained. The characteristic and shapes of the velocity surfaces and wave surfaces in the transversely isotropic fluid_saturated porous media were discussed in detail. The results also show that the characteristic equations for stress waves in pure solids are particular cases of the characteristic equations for fluid_saturated porous media. |
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| Keywords: | characteristic analysis wave surface fluid-saturated porous medium transversely isotropic stress wave |
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