| 线弹性问题与牛顿流体问题的对应关系 |
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| 引用本文： | 王世民,王仁.线弹性问题与牛顿流体问题的对应关系[J].地球物理学报,2000,43(1):91-96. |
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| 作者姓名： | 王世民 王仁 |
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| 作者单位： | 北京大学地球动力学研究中心,北京100871; |
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| 基金项目： | 国家自然科学基金!49374212 |
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| 摘 要： | 讨论了线弹性问题与牛顿流体问题的对应关系，说明建立两问题之间的对应关系仅考虑本构方程是不够的。通过对比两个问题的所有基本方程，证明了牛顿流体问题在满足（１）不可压缩；（２）小雷诺数；（３）温度变化对粘度的影响可忽略３个条件时，等价于一个准静态不可压线弹性问题．这一等价关系应用于构造应力场数值模拟中，可利用弹性程序求解岩石围的粘性流动问题．
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| 关 键 词： | 线弹性问题 牛顿流体问题 构造应力场模拟 岩石圈本构模型 |
| 文章编号： | 0001-5733(2000)01-0091-06 |
| 收稿时间： | 1988-11-13 |
CORRESPONDENCE BETWEEN LINEAR ELASTIC PROBLEM AND NEWTONIAN FLUID PROBLEM |
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| WANG SHI-MIN,WANG REN.CORRESPONDENCE BETWEEN LINEAR ELASTIC PROBLEM AND NEWTONIAN FLUID PROBLEM[J].Chinese Journal of Geophysics,2000,43(1):91-96. |
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| Authors: | WANG SHI-MIN WANG REN |
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| Institution: | Geodynamic Research Center, Peking University, Beijing 100871, China |
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| Abstract: | The correspondence between a linear elastic problem and a Newtonianfluid problem is discussed in the paper. It is shown that to establish thecorrespondence between the two problems, it is not enough to consider theconstitutive equations only. On the basis of a comparison of all basic equations of thetwo problems, it is proved that a Newtonian fluid problem, which satisfy threeconditions: (1) incompressible; (2) small Reynolds number; (3) temperatureindependent viscosity, is equivalent to a quasi-static incompressible linear elasticproblem. Applying this equlvalence to the numerical simulation of the tectonic stressfield, the computer programs for elastic problems can be used to solve the viscousflow of the lithosphere. |
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| Keywords: | Linear elastic problem Newtonian fluid problem Simulahon of tectonicstress field Constitutive model for lithosphere |
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