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L. Yu. Solovyov
Siberian Transport University

MODEL OF DEFORMATION OF CONCRETE BASED ON FLOWPLASTICITY THEORY FOR ANALYSIS OF DURABILITY OF PLAIN
CONCRETE AND REINFORCED CONCRETE BRIDGE CONSTRACTIONS

Abstract: The purpose of research - perfection of mathematical approaches to anestimation of durability of reinforced concrete structures. The method of research used in workis based on known positions of theories of plasticity with nonassociated flow rule and doubleisotropic hardening.

Result of work are the basic mathematical dependences of nonlinear model of concreteon the basis of the nonassociated flow rule, and algorithm of their application for an estimationof durability of concrete and reinforced concrete bridge structures.

The nonassociated flow rule is used. For the description of nonlinear compressibility ofa material at the three-dimension stress state, additional loading surfaces and the plasticpotential, are entered.

The strength surface of durability is presented in the principle stresses space in the formof the closed volume (cap model). The loading surface is under construction as similar of astrength surface.

Complexity of the received mathematical model is compensated by opportunities ofcalculation of designs at nonproportionate loadings.

The model can be built in the general model of deformation of concrete and reinforcedconcrete with cracks, including - in view of cyclic and long term loadings.

The practical importance consists in applicability of model for forecasting durabilityof statically indefinable concrete and ferro-concrete designs having damages in the form ofcracks.

Keywords: the nonassociated law, nonlinear deformation of concrete, durability ofreinforced concrete bridges

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