Article information

2009 , Volume 14, ¹ 4, p.70-80

Kurguzov V.D.

A numerical solution of geometrically nonlinear problems of solid mechanics

Algorithms for a numerical solution of geometrically nonlinear problems of deformation of rod structures with large displacements and rotations are developed for rigid loading that is when external influence is characterized by given displacement of nodes. The problem on static deformation of a flat mechanical system consisting of two linearly elastic rods under stretching-compression deformations is solved. All equilibrium positions of the system, both steady and unstable, are found, including all limiting points. Reliability of the solution of the given problem is proved by a coincidence of results obtained in two various ways of loading (soft and rigid loading), and by analytical analysis of the equilibrium equations.

[full text]
Keywords: nonlinear analysis, finite element method

Author(s):
Kurguzov Vladimir Dmitrievich
Dr. , Professor
Position: Leading research officer
Office: Lavrentiev Institute of Hydrodynamics of SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave., 15
Phone Office: (383) 333 21 79
E-mail: kurguzov@hydro.nsc.ru


Bibliography link:
Kurguzov V.D. A numerical solution of geometrically nonlinear problems of solid mechanics // Computational technologies. 2009. V. 14. ¹ 4. P. 70-80
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