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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2016 Volume 28, Number 8, Pages 127–144 (Mi mm3762)

The refined model of flexural deformation of longitudinally reinforced metal-composite wall-beams under conditions of steady-state creep

A. P. Yankovskii

Khristianovich Institute of Theoretical and Applied Mechanics the Siberian Branch of RAS, Novosibirsk

Abstract: The equations were obtained to describe, with varying degrees of accuracy, flexural behavior of longitudinally reinforced metal composite deep beams under conditions of steady-state creep of materials all phases of the composition. From these equations, as particular cases, the equations of the classical Bernoulli theory and two variants of the Timoshenko theory were obtained. For statically determinate beams the simplified version of the refined theory was developed. On examples of studies of flexural deformation of hinge supported wall-beams, it was demonstrated that there are such metal-composites, where neither classical, nor both Timoshenko theory does not guarantee reliable results of slenderness even within 20% accuracy, which is considered acceptable when studying the mechanical behavior of structures under creep conditions. To perform accurate calculations require the use of sophisticated theories that allow the calculation of edge effects in phase materials in the vicinity of the supported sections.

Keywords: metal composites, reinforcement, wall-beams, steady-state creep, Timoshenko theory, Bernoulli theory, refined theory of bending.

Received: 26.03.2015


 English version:
Mathematical Models and Computer Simulations, 2017, 9:2, 248–261

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© Steklov Math. Inst. of RAS, 2026