This article is cited in 2 papers

Mechanics of Solids

Iterative Procedures of Equilibrium Parameters Estimation and Process Stability of Pure Bending of Beams from Soft and Brittle Weakening Materials

V. V. Struzhanov^a, E. A. Bakhareva<sup>b

a</sup> Division of Machines Mechanics and Technology, Institute of Engineering Science, Urals Branch, Russian Academy of Sciences, Ekaterinburg
^b Dept. of Theoretical Mechanics, Ural State University, Ekaterinburg

Abstract: The article is concerned with iterative procedures of stressedly deformed state estimation of pure bendind of the beams with rectangular cross-section which are made of soft and brittle materials. The beams exhibit the strain weakening effect. The method convergence is studied and the interdependence of iterative divergence and loading stability is found.

Keywords: pure bending, hard and soft loading, iterative procedure, convergence, stability, simple iteration.

UDC: 539.3

MSC: 56U78, 74R99

Original article submitted 24/II/2010
revision submitted – 17/III/2010

DOI: 10.14498/vsgtu784

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