27 4 Vol. 27, No. 4 2007 7 EXPLOSION AND SHOCK WAV ES J uly., 2007 : 100121455 (2007) 0420289207 TiNi 3,, (, 230027) : TiNi, 45 #, :, TiNi ;, TiNi, ;, TiNi, TiNi, : ; ; ; TiNi ; ; : O344 : 130 1515 : A 1 (SMA), [1 ] K. Wilde [2 ], R. DesRoches [3 ] M. Dolce [4 ] TiNi, SMA,, J. S. N. Paine [ 5 ] SMA, SMA 2. 8 %, V. Birman [6 ], SMA / 1/ 3 D. C. Lagoudas [ 7 ] M TS TiNi,,,, SMA TiNi, TiNi,, 45 #, 2 g 14. 5 mm Hop kinson [8 ], 1 8 mm TiNi, 180 mm, 20 mm, L = 160 mm TiNi, x Ti = 0. 5065, 6450 kg/ m 3 1 Fig. 1 Experimental sketch 3 : 2006203216 ; : 2006205225 : (1945 ),,,,
290 27 1 x4, x1 x3 5 g1 g2,g3 g4,g5 1 mm 1 mm, 120 14. 5 mm,, ( 2) V,, SPEEDCAM PRO2L T, 2 000 / TiNi [9 ] 45 # TiNi 2 Fig. 1 Shape of bullet s head 3 3. 1 TiNi 6, 1 2 ( 1 6) 1 Table 1 Experimental parameters of cantilever beams under transversal impact L/ mm u0 / (m/ s) x4 / mm x1 / mm x2 / mm x3 / mm 1 TiNi 100 16. 3 105 10 55 110 2 TiNi 100 16. 7 150 10 55 110 3 TiNi 200 34. 5 105 10 60 110 4 TiNi 200 34. 4 110 10 60 110 5 TiNi 200 23. 6 110 10 60 110 6 TiNi 200 34. 6 110 10 60 110 7 steel 200 34. 6 110 10 60 110 8 steel 100 13. 1 105 10 55 110 2 Table 2 Experimental results lmax/ mm max/ ( ) tmax/ s max/ ( %) ur/ (m/ s) lr/ mm / ( %) 1 52 19. 1 5 100 1. 76 7. 2 0 82. 5 2 59 21. 8 5 800 2. 01 9. 2 0 74. 7 3 120 48. 9 5 400 22. 5 1 57. 8 4 123 49. 6 5 300 24. 2 0 51. 3 5 96 37. 7 5 300 3. 87 12. 6 6. 5 55. 4 6 118 47. 9 5 400 15. 5 15. 0 77. 8 7 112 45. 2 5 400 > 6 25. 3 90 47. 0 8 22 7. 9 2 400 10. 0 8 40. 8 : lmax ; max ; tmax ; max ; ur ; lr ; 3 CCD ( 2), : t1, t2 t3, TiNi,, 2 4 ( ), 5 CCD 2,,,, (g2 g4 ), (g1 g3 g5 )
4 : TiNi 291 ( 4 ), 40 100 s,,1 000 s, 3 2 CCD Fig. 3 CCD records of the experiment 2 4 2 Fig. 4 Wave records of the expriment 2 4 g3 g4,, a d,,,, ab,cd ( 0. 5 %), de,, :, g1 g2, g2 ( ) g3 g4, g1, g1,,,,,, 5 2 Fig. 5 Velocity history of bullet of the experiment 2 6 Fig. 6 Formation of transformation hinge ( 6),, [10 ],,,, g1, ( ) 4 d (g1 ), g1 5, d ( ), g,
292 27 : ( 6) g h,g1,, v 13 m/ s, 21, vs 5 m/ s, 10 mm 2 ms, d h,,,, 5 CCD,,, 1 ms, g2 g5 bc, CCD, (cd ), ( > 0. 5 %) d, g1 E0,, : x E x, y E y, E (1) 2 2 = 74. 7 % = [ E0 - ( Ex + Ey + E ) ]/ E0 (1) 7 5 Fig. 7 Wave records of the expriment 5 8 5 Fig. 8 Velocity history of bullet of the experiment 5 9 5 CCD Fig. 9 CCD records of the experiment 5 7 ( 5, g2, ),, ( 10 ms), TiNi 2,g3 g4 a c, ab,bc,cd, g1 g1
4 : TiNi 293, 8 7 9 5 CCD, t1 7, t2, 5 = 55. 4 % 3. 2 45 # 45 #, 2, 1 2 ( 7 8) 7 g1 g2 g5 ( 10), g1 g5, ab, bc,c g1 g5, g1 ( ), 11 c, g1 g2,, [10 ] eg, ( 11) t1 g1 t1 ( ) 10 7 11 7 Fig. 10 Wave records of steel specimen Fig. 11 Velocity history of bullet of steel specimen of the experiment 7 of the experiment 7 TiNi,,,CCD, g1, ( 12) g1, 12 13 E0 2 Fig. 12 Shape of recovery specimens Fig. 13 Graph of E0 2 13,, TiNi 12,,,, TiNi
294 27 4 TiNi, : (1), TiNi (2), TiNi, (3), TiNi,,,, (4) TiNi,, TiNi,, ( ),, [11 ], 6 9 4 %,,,,,, TiNi,,, : [ 1 ]. [ M ]. :,1992. [ 2 ] Wilde K, Gardoni P, Fujino Y. Base isolation system with shape memory alloy device for elevated highway bridges [J ]. Engineering Structures, 2000,22 :2222229. [ 3 ] DesRoches R, Delemont R. Seismic retrofit of simply supported bridges using shape memory alloys[j ]. Engineer2 ing Structures, 2002,24 :3252332. [ 4 ] Dolce M, Cardone D. Mechanical behavior of shape memory alloys for seismic applications[j ]. International Jour2 nal of Mechanical Sciences, 2001,43 :2 65723 677. [ 5 ] Paine J S N, Rogers C A. The response of SMA hybrid composite materials to low velocity impact [J ]. Journal of Intelligent Material Systems and Structures, 1994,5 (4) :5302535. [ 6 ] Birman V, Chandrashekhara K, et al. Approachto optimization of shape memory alloy hybrid compositeplates sub2 jected to low velocity impact [J ]. Composites Part B : Engineering, 1996,27 (5) :4392446. [ 7 ] Lagoudas D C, Chen Y C, Ravi2Chandar K. Fabrication, modeling and characterization of porous shape memory alloys[ R]. Sponsored by Office of Naval Research, 2001. [ 8 ]. [J ].,1991,122 (11) :40247. HU Shi2sheng. SHPB technique[j ]. Ordnance Material Science and Engineering, 1991,122 (11) :40247. [ 9 ]. TiNi [D ]. :,2005 :30242. [10 ]. [ M ]. 2. :,2005. [11 ] Guo Y B, Tang Z P, Zhang X H, et al. Phase transition Taylor test [ C] Alves M, Jones N. WIT Transactions on Engineering Sciences Impact Loading of Lightweight Structures. 2005,49 :2412255.
4 : TiNi 295 Experimental study of the dynamic behavior of Ti Ni cantilever beams with phase transf ormation subjected to transversal impact TAN G Zhi2ping 3, L U Jian2chun, ZHAN G Xing2hua ( Key L aboratory f or Mechanical B ehavior and Desi g n of M ateri als, Chi nese A ca dem y of S cience, Uni versit y of S cience and Technolog y of Chi na, Hef ei 230027, A nhui, Chi na) Abstract : The experimental investigatio n of TiNi cantilever wit h circular cro ss2sectio n under t ransver2 sal impact loading was conducted by using a revised Hop kinson bar apparat us, and compared to 45 steel cantilever. The p urpose of t his st udy is to explore t he effect of p hase transformation on t he dy2 namic behavior of struct ures. The result s show t hat at t he same impact condition, the energy absorb2 ing efficiency of a TiNi cantilever is better t han t hat of a 45 steel cantilever. It is found that a local transformation hinge ( T H) may generate at t he inner side of TiNi cantilever s fixed end during im2 pact loading, which changes t he resistance characteristic of t he cantilever. The T H disappears after unloading and the TiNi cantilever recovers to it s original position, however, t he 45 steel cantilever has large residual deformatio n. The impact respo nse of TiNi cantilever is co nt rolled by t he t hermo2elastic martensite p hase transformation and inverse transformation, which differs from t he conventional elas2 tic2plastic mechanism. Key words : solid mechanics ; shock2induced p hase t ransitio n ; t ransversal impact ; TiNi cantilever ; transformation hinge ; SMA 3 Corresponding author : TAN G Zhi2ping E2mail address : zptang @ustc. edu. cn Telephone : 86255123606754