id sid tid token lemma pos 4b29b566213 1 1 two two NUM 4b29b566213 1 2 methods method NOUN 4b29b566213 1 3 and and CCONJ 4b29b566213 1 4 models model NOUN 4b29b566213 1 5 are be AUX 4b29b566213 1 6 presented present VERB 4b29b566213 1 7 to to PART 4b29b566213 1 8 solve solve VERB 4b29b566213 1 9 the the DET 4b29b566213 1 10 nonlinear nonlinear ADJ 4b29b566213 1 11 wave wave NOUN 4b29b566213 1 12 equation equation NOUN 4b29b566213 1 13 with with ADP 4b29b566213 1 14 shock shock NOUN 4b29b566213 1 15 formation formation NOUN 4b29b566213 1 16 using use VERB 4b29b566213 1 17 mass mass PROPN 4b29b566213 1 18 , , PUNCT 4b29b566213 1 19 momentum momentum NOUN 4b29b566213 1 20 , , PUNCT 4b29b566213 1 21 and and CCONJ 4b29b566213 1 22 energy energy NOUN 4b29b566213 1 23 conservation conservation NOUN 4b29b566213 1 24 in in ADP 4b29b566213 1 25 multi multi NOUN 4b29b566213 1 26 - - NOUN 4b29b566213 1 27 layer layer ADJ 4b29b566213 1 28 one one NUM 4b29b566213 1 29 - - PUNCT 4b29b566213 1 30 dimensional dimensional ADJ 4b29b566213 1 31 rods rod NOUN 4b29b566213 1 32 made make VERB 4b29b566213 1 33 of of ADP 4b29b566213 1 34 cellular cellular ADJ 4b29b566213 1 35 material material NOUN 4b29b566213 1 36 . . PUNCT 4b29b566213 2 1 using use VERB 4b29b566213 2 2 the the DET 4b29b566213 2 3 method method NOUN 4b29b566213 2 4 of of ADP 4b29b566213 2 5 characteristics characteristic NOUN 4b29b566213 2 6 , , PUNCT 4b29b566213 2 7 the the DET 4b29b566213 2 8 rigid rigid ADJ 4b29b566213 2 9 - - PUNCT 4b29b566213 2 10 perfectly perfectly ADV 4b29b566213 2 11 - - PUNCT 4b29b566213 2 12 plastic plastic NOUN 4b29b566213 2 13 - - PUNCT 4b29b566213 2 14 locking lock VERB 4b29b566213 2 15 model model NOUN 4b29b566213 2 16 is be AUX 4b29b566213 2 17 proven prove VERB 4b29b566213 2 18 to to PART 4b29b566213 2 19 be be AUX 4b29b566213 2 20 unable unable ADJ 4b29b566213 2 21 to to PART 4b29b566213 2 22 predict predict VERB 4b29b566213 2 23 shock shock NOUN 4b29b566213 2 24 formation formation NOUN 4b29b566213 2 25 at at ADP 4b29b566213 2 26 a a DET 4b29b566213 2 27 material material ADJ 4b29b566213 2 28 interface interface NOUN 4b29b566213 2 29 . . PUNCT 4b29b566213 3 1 thus thus ADV 4b29b566213 3 2 , , PUNCT 4b29b566213 3 3 a a DET 4b29b566213 3 4 rate rate NOUN 4b29b566213 3 5 - - PUNCT 4b29b566213 3 6 independent independent ADJ 4b29b566213 3 7 mechanical mechanical ADJ 4b29b566213 3 8 model model NOUN 4b29b566213 3 9 is be AUX 4b29b566213 3 10 proposed propose VERB 4b29b566213 3 11 and and CCONJ 4b29b566213 3 12 incorporates incorporate VERB 4b29b566213 3 13 an an DET 4b29b566213 3 14 elastic elastic ADJ 4b29b566213 3 15 - - PUNCT 4b29b566213 3 16 plastic plastic NOUN 4b29b566213 3 17 - - PUNCT 4b29b566213 3 18 densifying densifye VERB 4b29b566213 3 19 material material NOUN 4b29b566213 3 20 model model NOUN 4b29b566213 3 21 to to PART 4b29b566213 3 22 describe describe VERB 4b29b566213 3 23 the the DET 4b29b566213 3 24 stress stress NOUN 4b29b566213 3 25 - - PUNCT 4b29b566213 3 26 strain strain NOUN 4b29b566213 3 27 behavior behavior NOUN 4b29b566213 3 28 of of ADP 4b29b566213 3 29 the the DET 4b29b566213 3 30 cellular cellular ADJ 4b29b566213 3 31 materials material NOUN 4b29b566213 3 32 . . PUNCT 4b29b566213 4 1 the the DET 4b29b566213 4 2 conditions condition NOUN 4b29b566213 4 3 for for ADP 4b29b566213 4 4 shock shock NOUN 4b29b566213 4 5 formation formation NOUN 4b29b566213 4 6 at at ADP 4b29b566213 4 7 a a DET 4b29b566213 4 8 material material ADJ 4b29b566213 4 9 interface interface NOUN 4b29b566213 4 10 are be AUX 4b29b566213 4 11 provided provide VERB 4b29b566213 4 12 . . PUNCT 4b29b566213 5 1 a a DET 4b29b566213 5 2 two two NUM 4b29b566213 5 3 - - PUNCT 4b29b566213 5 4 layer layer NOUN 4b29b566213 5 5 analysis analysis NOUN 4b29b566213 5 6 is be AUX 4b29b566213 5 7 conducted conduct VERB 4b29b566213 5 8 to to PART 4b29b566213 5 9 gain gain VERB 4b29b566213 5 10 insights insight NOUN 4b29b566213 5 11 into into ADP 4b29b566213 5 12 the the DET 4b29b566213 5 13 behavior behavior NOUN 4b29b566213 5 14 of of ADP 4b29b566213 5 15 two two NUM 4b29b566213 5 16 - - PUNCT 4b29b566213 5 17 layer layer NOUN 4b29b566213 5 18 cellular cellular ADJ 4b29b566213 5 19 systems system NOUN 4b29b566213 5 20 and and CCONJ 4b29b566213 5 21 to to PART 4b29b566213 5 22 determine determine VERB 4b29b566213 5 23 which which DET 4b29b566213 5 24 material material NOUN 4b29b566213 5 25 properties property NOUN 4b29b566213 5 26 are be AUX 4b29b566213 5 27 most most ADV 4b29b566213 5 28 important important ADJ 4b29b566213 5 29 for for ADP 4b29b566213 5 30 design design NOUN 4b29b566213 5 31 . . PUNCT 4b29b566213 6 1 finally finally ADV 4b29b566213 6 2 , , PUNCT 4b29b566213 6 3 the the DET 4b29b566213 6 4 significant significant ADJ 4b29b566213 6 5 parameters parameter NOUN 4b29b566213 6 6 are be AUX 4b29b566213 6 7 optimized optimize VERB 4b29b566213 6 8 to to PART 4b29b566213 6 9 reduce reduce VERB 4b29b566213 6 10 the the DET 4b29b566213 6 11 length length NOUN 4b29b566213 6 12 of of ADP 4b29b566213 6 13 oneand oneand NOUN 4b29b566213 6 14 two two NUM 4b29b566213 6 15 - - PUNCT 4b29b566213 6 16 layered layered ADJ 4b29b566213 6 17 cellular cellular ADJ 4b29b566213 6 18 systems system NOUN 4b29b566213 6 19 with with ADP 4b29b566213 6 20 impulse impulse NOUN 4b29b566213 6 21 and and CCONJ 4b29b566213 6 22 mass mass NOUN 4b29b566213 6 23 constraints constraint NOUN 4b29b566213 6 24 subject subject ADJ 4b29b566213 6 25 to to ADP 4b29b566213 6 26 pulse pulse ADJ 4b29b566213 6 27 loading loading NOUN 4b29b566213 6 28 . . PUNCT 4b29b566213 7 1 the the DET 4b29b566213 7 2 results result NOUN 4b29b566213 7 3 reinforce reinforce VERB 4b29b566213 7 4 the the DET 4b29b566213 7 5 concept concept NOUN 4b29b566213 7 6 of of ADP 4b29b566213 7 7 sandwich sandwich NOUN 4b29b566213 7 8 structures structure NOUN 4b29b566213 7 9 and and CCONJ 4b29b566213 7 10 show show VERB 4b29b566213 7 11 that that SCONJ 4b29b566213 7 12 two two NUM 4b29b566213 7 13 - - PUNCT 4b29b566213 7 14 layer layer NOUN 4b29b566213 7 15 systems system NOUN 4b29b566213 7 16 can can AUX 4b29b566213 7 17 achieve achieve VERB 4b29b566213 7 18 a a DET 4b29b566213 7 19 30 30 NUM 4b29b566213 7 20 % % NOUN 4b29b566213 7 21 reduction reduction NOUN 4b29b566213 7 22 in in ADP 4b29b566213 7 23 length length NOUN 4b29b566213 7 24 over over ADP 4b29b566213 7 25 single single ADJ 4b29b566213 7 26 layer layer NOUN 4b29b566213 7 27 ones one NOUN 4b29b566213 7 28 . . PUNCT 4b29b566213 8 1 next next ADV 4b29b566213 8 2 , , PUNCT 4b29b566213 8 3 a a DET 4b29b566213 8 4 rate rate NOUN 4b29b566213 8 5 - - PUNCT 4b29b566213 8 6 dependent dependent ADJ 4b29b566213 8 7 thermo thermo NOUN 4b29b566213 8 8 - - PUNCT 4b29b566213 8 9 mechanical mechanical ADJ 4b29b566213 8 10 model model NOUN 4b29b566213 8 11 is be AUX 4b29b566213 8 12 used use VERB 4b29b566213 8 13 to to PART 4b29b566213 8 14 incorporate incorporate VERB 4b29b566213 8 15 thermal thermal ADJ 4b29b566213 8 16 and and CCONJ 4b29b566213 8 17 viscoplastic viscoplastic ADJ 4b29b566213 8 18 effects effect NOUN 4b29b566213 8 19 ; ; PUNCT 4b29b566213 8 20 the the DET 4b29b566213 8 21 finite finite ADJ 4b29b566213 8 22 difference difference NOUN 4b29b566213 8 23 method method NOUN 4b29b566213 8 24 is be AUX 4b29b566213 8 25 used use VERB 4b29b566213 8 26 to to PART 4b29b566213 8 27 solve solve VERB 4b29b566213 8 28 this this DET 4b29b566213 8 29 model model NOUN 4b29b566213 8 30 . . PUNCT 4b29b566213 9 1 analysis analysis NOUN 4b29b566213 9 2 of of ADP 4b29b566213 9 3 1 1 NUM 4b29b566213 9 4 - - PUNCT 4b29b566213 9 5 layer layer NOUN 4b29b566213 9 6 systems system NOUN 4b29b566213 9 7 reveals reveal VERB 4b29b566213 9 8 a a DET 4b29b566213 9 9 viscoplastic viscoplastic ADJ 4b29b566213 9 10 stress stress NOUN 4b29b566213 9 11 spike spike NOUN 4b29b566213 9 12 on on ADP 4b29b566213 9 13 the the DET 4b29b566213 9 14 distal distal ADJ 4b29b566213 9 15 boundary boundary NOUN 4b29b566213 9 16 . . PUNCT 4b29b566213 10 1 additionally additionally ADV 4b29b566213 10 2 , , PUNCT 4b29b566213 10 3 experimentally experimentally ADV 4b29b566213 10 4 observed observe VERB 4b29b566213 10 5 stress stress NOUN 4b29b566213 10 6 amplification amplification NOUN 4b29b566213 10 7 is be AUX 4b29b566213 10 8 determined determined ADJ 4b29b566213 10 9 to to PART 4b29b566213 10 10 be be AUX 4b29b566213 10 11 a a DET 4b29b566213 10 12 function function NOUN 4b29b566213 10 13 of of ADP 4b29b566213 10 14 the the DET 4b29b566213 10 15 material material ADJ 4b29b566213 10 16 velocity velocity NOUN 4b29b566213 10 17 behind behind ADP 4b29b566213 10 18 the the DET 4b29b566213 10 19 incident incident NOUN 4b29b566213 10 20 shock shock NOUN 4b29b566213 10 21 in in ADP 4b29b566213 10 22 the the DET 4b29b566213 10 23 layer layer NOUN 4b29b566213 10 24 . . PUNCT 4b29b566213 11 1 the the DET 4b29b566213 11 2 amplification amplification NOUN 4b29b566213 11 3 amount amount NOUN 4b29b566213 11 4 is be AUX 4b29b566213 11 5 derived derive VERB 4b29b566213 11 6 analytically analytically ADV 4b29b566213 11 7 and and CCONJ 4b29b566213 11 8 matches match NOUN 4b29b566213 11 9 well well ADV 4b29b566213 11 10 with with ADP 4b29b566213 11 11 existing exist VERB 4b29b566213 11 12 models model NOUN 4b29b566213 11 13 . . PUNCT 4b29b566213 12 1 initial initial ADJ 4b29b566213 12 2 and and CCONJ 4b29b566213 12 3 boundary boundary ADJ 4b29b566213 12 4 condition condition NOUN 4b29b566213 12 5 studies study NOUN 4b29b566213 12 6 on on ADP 4b29b566213 12 7 the the DET 4b29b566213 12 8 one one NUM 4b29b566213 12 9 - - PUNCT 4b29b566213 12 10 dimensional dimensional ADJ 4b29b566213 12 11 multi multi ADJ 4b29b566213 12 12 - - ADJ 4b29b566213 12 13 layer layer ADJ 4b29b566213 12 14 cellular cellular ADJ 4b29b566213 12 15 systems system NOUN 4b29b566213 12 16 are be AUX 4b29b566213 12 17 conducted conduct VERB 4b29b566213 12 18 . . PUNCT 4b29b566213 13 1 the the DET 4b29b566213 13 2 results result NOUN 4b29b566213 13 3 indicate indicate VERB 4b29b566213 13 4 that that SCONJ 4b29b566213 13 5 pre pre ADJ 4b29b566213 13 6 - - VERB 4b29b566213 13 7 stressing stressing NOUN 4b29b566213 13 8 and and CCONJ 4b29b566213 13 9 convex convex ADJ 4b29b566213 13 10 density density NOUN 4b29b566213 13 11 arrangements arrangement NOUN 4b29b566213 13 12 reduce reduce VERB 4b29b566213 13 13 the the DET 4b29b566213 13 14 peak peak NOUN 4b29b566213 13 15 impulses impulse NOUN 4b29b566213 13 16 transferred transfer VERB 4b29b566213 13 17 through through ADP 4b29b566213 13 18 the the DET 4b29b566213 13 19 system system NOUN 4b29b566213 13 20 . . PUNCT 4b29b566213 14 1 increasing increase VERB 4b29b566213 14 2 temperature temperature NOUN 4b29b566213 14 3 is be AUX 4b29b566213 14 4 found find VERB 4b29b566213 14 5 to to PART 4b29b566213 14 6 increase increase VERB 4b29b566213 14 7 system system NOUN 4b29b566213 14 8 crush crush NOUN 4b29b566213 14 9 while while SCONJ 4b29b566213 14 10 reducing reduce VERB 4b29b566213 14 11 distal distal ADJ 4b29b566213 14 12 stress stress NOUN 4b29b566213 14 13 . . PUNCT 4b29b566213 15 1 further far ADV 4b29b566213 15 2 , , PUNCT 4b29b566213 15 3 load load VERB 4b29b566213 15 4 pulse pulse NOUN 4b29b566213 15 5 shape shape NOUN 4b29b566213 15 6 affects affect VERB 4b29b566213 15 7 the the DET 4b29b566213 15 8 shape shape NOUN 4b29b566213 15 9 of of ADP 4b29b566213 15 10 shocks shock NOUN 4b29b566213 15 11 and and CCONJ 4b29b566213 15 12 transmitted transmit VERB 4b29b566213 15 13 loads load NOUN 4b29b566213 15 14 . . PUNCT 4b29b566213 16 1 finally finally ADV 4b29b566213 16 2 , , PUNCT 4b29b566213 16 3 increasing increase VERB 4b29b566213 16 4 the the DET 4b29b566213 16 5 number number NOUN 4b29b566213 16 6 of of ADP 4b29b566213 16 7 layers layer NOUN 4b29b566213 16 8 in in ADP 4b29b566213 16 9 an an DET 4b29b566213 16 10 even even ADV 4b29b566213 16 11 length length ADJ 4b29b566213 16 12 distribution distribution NOUN 4b29b566213 16 13 will will AUX 4b29b566213 16 14 reduce reduce VERB 4b29b566213 16 15 the the DET 4b29b566213 16 16 performance performance NOUN 4b29b566213 16 17 of of ADP 4b29b566213 16 18 the the DET 4b29b566213 16 19 material material NOUN 4b29b566213 16 20 if if SCONJ 4b29b566213 16 21 the the DET 4b29b566213 16 22 same same ADJ 4b29b566213 16 23 linear linear ADJ 4b29b566213 16 24 density density NOUN 4b29b566213 16 25 gradient gradient NOUN 4b29b566213 16 26 is be AUX 4b29b566213 16 27 used use VERB 4b29b566213 16 28 . . PUNCT 4b29b566213 17 1 these these DET 4b29b566213 17 2 results result NOUN 4b29b566213 17 3 indicate indicate VERB 4b29b566213 17 4 a a DET 4b29b566213 17 5 significant significant ADJ 4b29b566213 17 6 leap leap NOUN 4b29b566213 17 7 in in ADP 4b29b566213 17 8 the the DET 4b29b566213 17 9 understanding understanding NOUN 4b29b566213 17 10 of of ADP 4b29b566213 17 11 multi multi ADJ 4b29b566213 17 12 - - ADJ 4b29b566213 17 13 layer layer ADJ 4b29b566213 17 14 cellular cellular ADJ 4b29b566213 17 15 materials material NOUN 4b29b566213 17 16 subject subject ADJ 4b29b566213 17 17 to to ADP 4b29b566213 17 18 pulse pulse ADJ 4b29b566213 17 19 loads load NOUN 4b29b566213 17 20 . . PUNCT