Date of Award

May 2016

Degree Type


Degree Name

Master of Science



First Advisor

Konstantin Sobolev

Second Advisor

Ilya Avdeev


Concrete is the main constituent material in many structures. The behavior of concrete is nonlinear and complex. Increasing use of computer based methods for designing and simulation have also increased the urge for the exact solution of the problems. This leads to difficulties in simulation and modeling of concrete structures. A good approach is to use the general purpose finite element software, e.g ANSYS . Normal strength concrete is a composite material represented by mechanically strong aggregates of various shapes and sizes incorporated into weaker cementitious matrix. A number of simplified homogenized models have been reported in the literature to represent the mechanical response of concrete. An accurate representation of the spatial distribution of the aggregate particles is one of the most important aspects of real-scale concrete modeling. A three-dimensional, numerical model, capable of predicting structural reliability of concrete under various loading conditions has been developed. A micromechanical heterogeneous model based on "real world" spatial distribution of aggregates was generated using a packing algorithm. This model has been used to compute the stress-strain response of concrete by taking a representative cell homogenization approach. The results of numerical analysis of this model were compared with existing models of particulate composite material. The computational results demonstrate agreement within existing models and, therefore, can be used for micromechanical modeling of composite material such as "real world" concrete composites.