The　flexible　manipulation　of　elastic　waves　that　exhibit　abundant　polarization　characteristics　in　solid　structures　can　be　realized　through　ingenious　microstructure　design,　thus　accomplishing　various　unique　physical　properties.　This　paper　proposes　a　lightweight,　thin-plate　elastic　metamaterial　with　transverse,　longitudinal,　and　torsional　wave　polarization　band　gaps.　Due　to　the　spatial　asymmetry　of　the　unit　cell,　the　band　gaps　do　not　overlap　and　can　achieve　the　selective　suppression　of　elastic　waves　exhibiting　different　polarization　forms.　In　addition,　the　stopband　of　the　flexural　vibrational　overlaps　the　passband　of　the　longitudinal　vibration,　allowing　a　fluid-like　elasticity　capable　of　transmitting　longitudinal　waves　but　not　transverse　waves　to　be　realized　via　a　multicellular　elastic　rod-like　structure　with　integrated　multiple　unit　cells.　A　corresponding　rod-like　structure　was　fabricated　and　verified,　achieving　a　fluid-like　elasticity　through　vibrational　measurements.　Furthermore,　the　unit　cell　behaves　a　negative　moment　of　inertia　characteristic　in　the　torsional　wave　band　gap,　which　can　effectively　attenuate　the　torsional　vibrational　propagation　of　the　rod-like　structure　with　integrated　multiple　unit　cells　in　another　form.　This　proposed　elastic　metamaterial　structure　can　provide　a　practical　implementation　scheme　for　the　separation　and　manipulation　of　elastic　waves　in　different　polarization　forms　in　solid　structures.　©　2020　Elsevier　Ltd