线弹性问题与牛顿流体问题的对应关系

doi:10.3321/j.issn:0001-5733.2000.01.011

CORC > 北京大学 > 地球与空间科学学院

	线弹性问题与牛顿流体问题的对应关系; CORRESPONDENCE BETWEEN LINEAR ELASTIC PROBLEM AND NEWTONIAN FLUID PROBLEM
	王世民 ; 王仁
刊名	地球物理学报
	2000
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 linear elastic problem Newtonian fluid problem simulation of tectonic stress field constitutive model for lithosphere
DOI	10.3321/j.issn:0001-5733.2000.01.011
英文摘要	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圈的粘性流动问题.; The correspondence between a linear elastic problem and a Newtonian fluid problem is discussed in the paper. It is shown that to establish the correspondence between the two problems, it is not enough to consider the constitutive equations only. On the basis of a comparison of all basic equations of the two problems, it is proved that a Newtonian fluid problem, which satisfy three conditions: (1) incompressible; (2) small Reynolds number; (3) temperature-independent viscosity, is equivalent to a quasi-static incompressible linear elastic problem. Applying this equivalence to the numerical simulation of the tectonic stress field, the computer programs for elastic problems can be used to solve the viscous flow of the lithosphere.; 国家自然科学基金; SCI(E); 中文核心期刊要目总览(PKU); 中国科学引文数据库(CSCD); 1; 1; 91-96; 43
语种	中文
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/173251]
专题	地球与空间科学学院
推荐引用方式 GB/T 7714	王世民,王仁. 线弹性问题与牛顿流体问题的对应关系, CORRESPONDENCE BETWEEN LINEAR ELASTIC PROBLEM AND NEWTONIAN FLUID PROBLEM[J]. 地球物理学报,2000.
APA	王世民,&王仁.(2000).线弹性问题与牛顿流体问题的对应关系.地球物理学报.
MLA	王世民,et al."线弹性问题与牛顿流体问题的对应关系".地球物理学报 (2000).