This article is cited in 2 papers

Mechanics of Solids

Numerical calculation for limit values of control parameters in the problem about extension with torsion for special sample in the framed structure

V. V. Struzhanov, V. V. Privalova

Lab. of Material Micromechanics, Institute of Teoretical Engineering, Ural Branch of RAS, Yekaterinburg

Abstract: The numerical procedure for computation of the loads limit values was considered in this article. This loads apply to discrete gradient mechanical systems. Part of their elements can work at loss of strength stadium already. Methodic was shown for example of the problem about extension with torsion in the framed structure for special sample from nonlinear material. Properties of this material are defined by non-convex potential. This potential describe steady stats (strengthening) and non-steady (loss of strength ) of the material. This calculating scheme allow don't solve nonlinear equilibrium equations with gradually increase of loads and test of the stiffness for any equilibrium for definition of loads values, which act the structure accident.

Keywords: gradient system, potential function, critical point, nonsingular critical point, Hessian matrix, separatrix, limit values of control parameters.

UDC: 539.3

MSC: 74B20

Original article submitted 22/XII/2010
revision submitted – 16/V/2011

DOI: 10.14498/vsgtu908

Bibliographic databases:

• 
• 
•