International Journal of Optimization in Civil Engineering, Volume (8), No (1), Year (2018-2) , Pages (137-158)

Title : ( Damage and plasticity constants of conventional and high-strength concrete part II: STATISTICAL EQUATION DEVELOPMENT USING GENETIC PROGRAMMING )

Authors: M. Moradi , A. R. Bagherieh , Mohammad Reza Esfahani ,

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Abstract

Several researchers have proved that the constitutive models of concrete based on combination of continuum damage and plasticity theories are able to reproduce the major aspects of concrete behavior. A problem of such damage - plasticity models is associated with the material constants which are needed to be determined before using the model. These constants are in fact the connectors of constitutive models to the experimental results. Experimental determination of these constants is always associated with so me problems, which restricts the applicability of such models despite their accuracy and capabilities. In the present paper, the values of material constants for a damage - plasticity model determined in part I of this work were used as a database. Genetic p rogramming was employed to discover equations which directly relate the material constants to the concrete primary variables whose values could be simply inferred from the results of uniaxial tension and compressive tests. The simulations of uniaxial tensi on and compressive tests performed by using the constants extracted from the proposed equations, exhibited a reasonable level of precision. The validity of suggested equations were also assessed via simulating experiments which were not involved in the pr ocedure of equation discovery. The comparisons revealed the satisfactory accuracy of proposed equations.

Keywords

, reinforced concrete, genetic programming, constitutive modeling, continuum, damage mechanics, plasticity .