A new method for estimating the compressive strain of cellular structures using microstructure of foams based on Laguerre tessellations

In this study, energy absorption behavior of cellular structures such as foams will be investigated. In this paper, developing microstructural modeling of cellular structures and analyzing their plastic behavior through the finite element method is the main goal. In this research, a unit cell is first developed for numerical computation reduction as well as modeling that has the desired foam statistical properties, and then the dynamic behavior of this unit cell under simulated impact will be analyzed. An analytical method to obtain the compressive strain value of the foams with the help of numerical solution results will be presented. In other words, using the analytical method, the finite element method and the simulation will be evaluated. Then, using simulated experiments, a model using the response surface methodology  to obtain the compressive strain will be presented and the results of this model will be evaluated by numerical method. The results of this study showed that it is possible to model and analyze the energy absorption of the foams using the method presented in this study and as a result, suitable structural equation for microstructural analysis of foams can be obtained in future researches.