In recent years, concrete has become a widely used material for general purposes in the structural area due to its excellent performance and properties. Hence, an increasing number of concrete structures are built, and a huge amount of building stock has been occurred around the world. However, because of the many progress (i.e., natural disasters), some of the concrete structures are demolished and their status is changed into rubble, and hence this becomes an environmental problem threatening the nature. To struggle with the rubbles, – a brilliant idea – recycling concrete is appeared and to disposal the rubbles in concrete works become a subject in the authorities’ agenda. Also, according to the brilliant approach, the studies focus on some experiments and simulation works (i.e., finite element modeling) to analyze the use of rubbles as recycled aggregate (RA) in concrete, recycled aggregate concrete (RAC) and reinforced RAC (RRAC) properties. At this point when a deep look is concentrated on the papers on RAC and RRAC, the reviews generally include experimental works of the research but rarely or hardly ever consider the simulation stages of the researche. Hence, this paper is drawn as a state-of-the-art report on modeling works of RAC and RRAC. Also, this paper gives finite element model (FEM) details of the examined research to improve the future studies on RAC and RRAC with helpful comments and directions.