MATHEMATICS_SOLVING THE VISCOUS COMPOSITE CYLINDER PROBLEM BY SOKOLOV'S METHOD

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By CO HONG TRAN at 10:53 pm, Jun 22, 2006

CO HONG TRAN

Digitally signed by CO HONG TRAN DN: cn=CO HONG TRAN, c=VN, email=coth123@math.com Reason: I am the author of this document Location: HCMC , VIETNAM Date: 2006.06.22 22:49:59 +07'00'

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SOLVING THE VISCOUS COMPOSITE CYLINDER PROBLEM BY SOKOLOV’S METHOD By

CO . H . TRAN , PHONG . T.

NGO Faculty of Mathematics & Informatics , University of Natural Sciences – VNU-HCM

Abstract : The paper presents some thoughts about the plane strain problem of the viscous orthotropic composite materials cylinder under internal and external pressure with respect to using the average approximating method . To compute the interior stress , from the elastic solution we use the Volterra’s principle and Sokolov’s method in the corresponding integral equation to find the viscous solution .

I. The axial symmetric plane strain problem of cylinder : We examine an orthotropic viscoelastic composite material cylinder which has the horizontal section within limit of 2 circles : r = a , r = b ( a < b ) .

<<June/22/2006>>TRANHONGCO --GIAI BAI TOAN ONG TRU COMPOSITE DAN NHOT BANG PHUONG PHAP SOKOLOV .


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