Multilayer membranes prepared via microlayer coextrusion have attracted wide attention due to their unique properties and broad applications.In present study,the foam/film alternating multilayer sheets based on ethylene-vinyl acetate copolymer (EVA) and high-density polyethylene are successfully prepared via microlayer coextrusion.The cells in the sheets are single-cell-array along the foamed EVA layers with uniform cell size.In addition,the effects of layer number and foam relative thickness on morphology,mechanical properties,damping and heat insulation properties are investigated.The cell size decreases significantly with increasing layer number due to the enhanced confine effects.The tensile strength,elongation at break,and heat insulation also increase significantly.However,the mechanical damping properties change little in the observed frequency.Meanwhile,with higher relative thickness of EVA foam,the sheets have lower tensile strength and lower thermal conductivity,while the damping properties are enhanced in a specific frequency scope.The elongation at break of the optimized sample comes to 800％ and the thermal conductivity decreases to 61 mW·m-1·K-1,which shows high toughness and low thermal conductivity,indicating a possible method for preparing materials with high toughness and heat-insulating properties.