The Effect Of Cell Irregularity On The Size-dependent Elastic Property Of2D Voronoi Micro-and Nano-honeycombs

Honeycombs are more and more widely used in engineering such as traffic，aerospaceand packaging due to their excellent mechanical properties and energy absorptioncapacity. The porosity of microstructure attaches honeycombs new excellentproperties, which makes honeycombs great engineering potentials and enlarges theapplication range of honeycomb.The mechanical properties of honeycomb depend largely on the microscopic structure,such as relative density, the irregularity of the honeycomb model. Although themechanics theories of macro-honeys have well been established, their results cannotbe applied to the micro-and nano-sized counterparts because in the micro-andnano-size scale, the elastic properties are size-dependent. Most available mechanicalmodels of micro-and nano-honeycomb are usually based on idealized unit cellstructures, and are not able to account for the natural variations in microstructurewhich are typical for most foam structures. The objective of this work has been toinvestigate how the cell irregularity affects the elastic properties of2D Voronoimicro-and nano-honeycombs.In this thesis, the2D random Voronoi micro-honeycomb models have beenestablished with the same relative density, uniform cell wall thickness and differentdegrees of cell regularity. Then the finite element analysis is applied to determiningtheir effective elastic properties. With the homogenization consideration, theperiodical boundary conditions and finite element analysis is applied to investigatingthe effects of the irregularity on the size-dependent elastic properties of2D Voronoimicro-and nano-honeycombs. The results indicate that effective Young’s modulusincrease with the increase of the irregularity, but the Poisson ratio would not beaffected too much by the varying regularity and is closed to1. The programmingresult in this paper agrees well with the former research, and is useful reference to thestudy of the effective mechanical properties of homogenized irregular2D Voronoihoneycombs.