The　compressive　behaviour　of　sandwich　panels　with　lattice　truss　core　filled　by　shear　thickening　fluid　(SPLTC-STF)　at　high　strain-rates　is　performed　analytically　and　numerically.　Firstly,　a　hydrodynamic　constitutive　model　for　the　shear　thickening　fluid　(STF)　involving　shear　thinning,　shear　thickening,　and　hydrostatic　compressibility　is　undertaken　to　describe　the　dynamic　behaviour　of　the　STF.　Then　an　analytical　model　based　on　the　squeezing　flow　of　viscous　fluids　is　proposed.　The　squeezing　resistance　of　the　STF　between　the　two　panels　of　the　SPLTC　under　various　loading　velocities　is　analysed　using　a　fluid-structure　interaction　(FSI)　simulation,　by　which　the　constitutive　parameters　of　the　STF　are　obtained.　Finally,　the　dynamic　response　of　the　SPLTC-STF　involving　buckling　and　post-buckling　of　core　struts　in　the　STF　is　investigated　using　the　FSI　method.　The　enhanced　energy　absorption　capacity　of　the　SPLTC-STF　observed　in　Ref　[1]　is　numerically　interpreted.　The　effects　of　shear　thickening　behaviour　of　STF　on　the　dynamic　response　of　SPLTC-STF　are　predicted,　providing　a　method　of　optimal　design　for　STF　filled　sandwich　panels　over　a　wide　range　of　impulse　loadings　for　dynamic　energy　absorption.　©　2020　Elsevier　Ltd