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Title of Article

SOLUTION OF THREE-DIMENSIONAL BOUNDARY VALUE PROBLEMS OF THE NONLINEAR THEORY OF ELASTICITY USING THE METHODS OF MULTI-DIMENSIONAL COMPLEX ANALYSIS


Issue
4
Date
2011

Article type
scientific article
UDC
 
Pages
1862-1863
Keywords
 


Authors
Sheina A.A.
Vychislitelnyy tsentr im. A.A. Dorodnitsyna RAN, Moskva

Aleksandrovich A.I.
Vychislitelnyy tsentr im. A.A. Dorodnitsyna RAN, Moskva


Abstract
A new analytical-numeric method for the solution of 3D boundary value problems of nonlinear elasticity theory of Murnagan's model is considered. Murnagan's model allows to account for finite deformations of the material. The method suggested is based on the application of complex analysis methods in combination with standard numerical optimization techniques. The method is used to numerically solve the problems on uniaxial tension and simple torsion of a finite cylinder with symmetrical side recess.

File (in Russian)