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《Chinese Journal of Geophysics》 2000-01
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CORRESPONDENCE BETWEEN LINEAR ELASTIC PROBLEM AND NEWTONIAN FLUID PROBLEM

WANG SHI-MIN; WANG REN(Geodynamic Research Center, Peking University, Beijing 100871, China)  
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.
【Fund】: 国家自然科学基金!49374212
【CateGory Index】: O368;P313
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