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．
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.
出处
《地球物理学报》
SCIE
EI
CAS
CSCD
北大核心
2000年第1期91-96,共6页
Chinese Journal of Geophysics
基金
国家自然科学基金!49374212
关键词
线弹性问题
牛顿流体问题
构造应力场
模拟
Linear elastic problem, Newtonian fluid problem, Simulahon of tectonicstress field, Constitutive model for lithosphere.
