4 4 ol.4 No.4 005 Chinee Journal of Rock Mechanic an Engineering Feb.005 ( 00850) O 4TU 455 A 000695(005)0407308 DAMAGE EFFECT OF THIN CONCRETE SLABS SUBJECTED TO PROJECTILE IMPACT DONG JunDENG Guo-qiangYANG Ke-zhiWANG An-baoYANG Xiu-min (Canbao Builing Deign Iniue of BeijingBeijing 00850China) AbraPerforaion amage effe of hin concree lab prouce by impa of projeile a high velociy are uie. Moel enumerical imulaionan imenion heory are employe o analyze he amage effe an he reul of he hree meho are well conien. Empirical formula i erive o calculae reiual velociy of projeile perforaing hrough he hin concree lab. The macrocopic amage image of reinforce concree lab uner impa effe are obaine hrough moel ean he reiual velociy of he projeile are gaine from he e. Three-imenional nonlinear ynamic finie elemen program an he brilene amage moel of concree are inrouce. The numerical imulaion of amage proce of experimenal arge lab i accomplihe. The phyical procee uch a peneraion perforaion an impa perforaion of reinforce concree lab ubjee o projeile wih high pee are iplaye viually. The imulaion reul fi well wih he experimenal amage image. Through imenion analyihe imenionle relaionhip beween all parameer ha influence he impa amage effe of reinforce concree lab are achieve. Regreive analyi of e aa are carrie ou o obain he calculaion formulae for projeile reiual velociie uner he coniion of peneraion perforaion or impa perforaion. Key wornumerical imulaionhigh-velociy projeileconcree labimpa perforaionmoel e imenion analyi 3 5 0030705 003090 (97) 004 E-mail grace33 @ohu.com
74 005 588597 g 35 mm [9] 50 mm ( 0 mm) 4 mm 40 mm 0 mm 8050300 400 mm 00 mm. 3 () [0] 37. φ 35 mm (F B ) 50 00 m/ Fig. Impa perforaion(ffron iebback ie)
4 4. 75.3.4 ((a)) ( ) 3 ((b)) (3) ((c)) (a) (a) (b) (b) 3 Fig.3 Damage hape of reinforce concree lab 3 (c) LS-DYNA 3D Fig. Damage region a he back ie of lab
76 005 [] 3. 3 5 3 Fig.5 Three fixe failure urface of concree amage moel (4) (CDM) P = C ε ) + γt ( ε ) E () ( ) C( ε γt ( ε )E E y m r c0y c 0m γ Grüneien c0r ay a m a y a y a m a r 3.3 (DIF) [3] MillingerBirkimer 4 Fig. 4 Equaion of ae(eos) curve of concree 3. δ & ε 3 (5) ( & ε ) f & ε DIF = = / 3 (4) f & ε β ( ε & ) & ε p y = c0y + (a) a + a p p m = c0m + (b) a + a p m p r = c0r + (c) a + a p r y y m r (a)(c) p ymr.06α & ε ( & ε30 ) f = = & ε c DIF /3 (3) fc & ε γ ( & ε > 30 ) & ε (3)(4) f c f f c f co ε& 6.56α α = /(5 + 9 f / f ) γ = 0 c co 6δ δ = /( + 8 f c / fco ) β = 0 3.4 4 mm 706. MPa.05 0 5
4 4. 77 MPa 3.5 68 6 (8 cm) 7 (5 cm) 8 7 5 cm Fig.7 Impa an perforaion proce o concree lab wih hick of 5 cm 6 8 cm Fig.6 Impa perforaion procee of concree lab wih hickne of 8 cm
78 005 8 Fig.8 Perforaion proce of projeile hrough reinforcing bar 4 = f L D h M ) (6) ( D β β β 3 Π = Π = D α α α 3 D γ γ γ 3 3 hd b b b3 5 LD a a a 4 D c c 6 MD 3 Π = Π = c3 Π = Π = Π h L M (7) 3 D D D 4. n.85 7 = 0.99 47 h D D L M 0. α θ ( L ) D.85 7 0.336 85 (9) E 0.74 86 e h h E D τ.4 n = 53.e 0.64 (0) f ε& (m/) (m/) (kg/m 3 ) (Pa)h (m)d (m)l = f ( L D h M α θ E (m) 4. τ & f E ε ) (5) 9 E = α 0= θ 0 DLM τ f E ( = 0) ε& h (5) = f 4 / (7) = f h L M (8) 3 D D D
4 4. 79 (a) L / D = 3 (a) h / D = 6 (b) L / D = 6 0 (b) h / D = 0 Fig.0 Influence of hickne of lab on imenionle 9 reiual veloci Fig.9 Influence of lengh iameer raio on imenionle reiual velociy 4.3 (9) 0 0 5 9 6 ( = 0) () () 5 ((9)) (3)
70 005 h /m h D Table The comparion of calculaion reul an experimen reul /kgm 3 /0 6 Pa M /kg /m / m / A 0.08.86 400 43.8 0.59 8 35.093.64 66 63 55 0.98 0.934 A 0.08.86 400 34.6 0.594 50 0.069.08 99 88 90 0.945 0.955 A3 0.08.86 400 7. 0.595 376 06.6 3.538 80 86 30.0.07 A5 0.08.86 400 7. 0.595 60 06.6 5.835 59 53 535 0.989.0 B 0.08.86 500 43.8 0.59 93 3.363.458 3 9 33 0.985.05 B 0.08.86 500 35.7 0.594 68 9.499.43 95 06 06.056.056 B3 0.08.86 500 35.7 0.595 36 9.499 3.0 300 9 9 0.973 0.973 B4 0.08.86 500 35.7 0.596 608 9.499 5.088 58 5 59 0.970 0.983 B5 0.08.86 500 35.7 0.596 8 9.499 6.795 70 684 707 0.976.009 B7 0.08.86 500 43.8 0.593 46 3.363 9.43 066 0 0.960 0.99 C 0.5 4.86 400 34.6 0.594 37 0.069.640 80 85 80.063.000 C4 0.5 4.86 400 37.4 0.59 50 4.833 4.03 30 38 303.056.007 C5 0.5 4.86 400 7. 0.590 753 06.6 7.086 554 5 533 0.94 0.96 D4 0.30 8.57 400 34.6 0.590 805 0.069 6.704 354 398 447.4.63 L / D = 4.86 / [J]. 4()530.(in Chinee)) (4) [8] [J]. 00 4(4) (Reference) 004()530.(Liu RuichaoHe Xiang Wu Biaoe al. Suy on he peneraion eph of concree ubjee o projeile impa[j]. Journal of Proeive Engineering00. 3339(Liu GuoquanYang Dafeng Wang Jiwei. Suy on calculaion moel of peneraion heory for layer compoie lab again projeile[j]. Journal of Proeive Engineering004(4)3339.(in Chinee)) [] Boner S R. Engineering moel of balliic perforaion a high velociice[r]. AD-A0805098. [9]. [ ][D]. 00.(Sun Yuxin. Suy on ani-perforaion of [] Karma YMaji T MAzim Ee al. An evaluion of coniuive moel of concree in LS-DYNA finie elemen coe[a]. In5 h ASCE Engineering Mechanic Conference[C]. [. l.][. n.]00. 8. [0] concree[ph. D. Thei][D]. HefeiScience an Technology Univeriy of China00.(in Chinee)). [M]. 00.(Dong Zheren. Principle an Applicaion of [3] Agarh LLaine L. 3D FE-imulaion of high-velociy fragmen perforaion of reinforce concree lab[j]. Inernaional Journal of Nonlinear Finie Elemen for Reinforce Concree[M]. Beijing China Waer Power Pre00.(in Chinee)) Impa Engineering99955557. [] Javier M LJohn E CJame W We al. A plaiiy concree [4] Roenberg ZDekel E. On he role of noe profile in long-ro peneraion[j]. In. J. Impa Engng.99999. maerial moel for DYNA 3D [J]. Inernaional Journal of Impa Engineering9979(9)847873.(in Chinee)) [5] Donal C JMichael E Gincen K L. Perforaion of hin unreinforce concree lab[r]. SANO 93050C993. []. [ ][D]. 000.(Cao Deqing. Numerical imulaion on [6] Hanchak S J Forreal M J Young E R e al. Perforaion of concree lab wih 48 MPa (7 ki) an 40 MPa (0 ki) unconfine compreive rengh[j]. In. J. Impa Engng.99()7. [3] peneraion of reinforce concree[ph. D. Thei][D]. Beijing Beijing Iniue Technology000.(in Chinee)) Javier M LCrawfor J E. Dynamic increae faor for concree[a]. [7]. In8 h DDESB Seminar[C]. [. l.][. n.]998. 90.
4 4 ol.4 N o. 4 005 Chinee Journal of Rock Mechanic an Engineering Feb. 0 0 5 0030705 003090 (97) 004 E-mail grace33 @ohu.com