construction of porous multiscale heterogeneous microstructures using statistical correlation functions and minimal surfaces

Design multiphase heterogeneous structures in order to providemultifunctional properties has many applications in the field ofmaterial design. in this research, a new method for constructionmultiscale heterogeneous microstructure is presented. usingstatistical correlation function, specifically, two-point correlationfunctions, bicontinuous two-phase structure is constructed that hassolid and void phases. in order to construction the heterogeneousmedia, an exponentially decreasing sine function is used asautocovariance function. then based on schwartz p minimalsurface the porous media structure, is divided into two parts;porous solid phase and void phase. from the point of view ofcontinuity, the phases are investigated and it is observed bothphases of the constructed microstructure are connected throughoutthe media. using this method it is possible to constructbicontinuous multiscale microstructures that are solid and voidphase in coarse scale and the solid phase can be constructed as voidand solid phase in fine scale.