Compressive behavior of tailor-made metallic foams (TMFs): Numerical simulation and statistical modeling

In this work, the compressive behavior of tailor-made metallic foams (TMFs) was qualified and quantified under quasi-static compressive loading. Response surface methodology (RSM) based on a central composite design (CCD) was successfully employed for development quadratic polynomial regression models between the response variables (structural stiffness, yield and compressive strength) in terms of three variables (cell size, cell wall thickness and height of cell layers). These models were then used for finite element simulation of TMFs under compression conditions by considering a representative unit cell. There was an adequate agreement between the simulation data and the experimental measurements within 3.5% confidence interval. The analysis of the statistically developed models revealed that ratio of wall thickness to the size of cell (t/D) has the most significant influence on the compressive behavior of TMFs. [Display omitted] •RSM was coupled with FEM to predict the mechanical properties of TMFs.•Structure of TMFs in accordance with required mechanical properties was tailored.•t/D ratio is the most significant factor of compressive behavior of TMFs.•High compressive strength of 143MPa was achieved when D=4mm, t/D=1 and h/D=1.