DAMAGE EFFECT OF THIN CONCRETE SLABS SUBJECTED TO PROJECTILE IMPACT

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1 4 4 ol.4 No Chinee Journal of Rock Mechanic an Engineering Feb.005 ( 00850) O 4TU 455 A (005) 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 (97) 004

2 g 35 mm [9] 50 mm ( 0 mm) 4 mm 40 mm 0 mm mm 00 mm. 3 () [0] 37. φ 35 mm (F B ) m/ Fig. Impa perforaion(ffron iebback ie)

3 ((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

4 [] 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 = mm 706. MPa

5 MPa (8 cm) 7 (5 cm) 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

6 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 = h D D L M 0. α θ ( L ) D (9) E 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

7 (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) () () 5 ((9)) (3)

8 h /m h D Table The comparion of calculaion reul an experimen reul /kgm 3 /0 6 Pa M /kg /m / m / A A A A B B B B B B C C C D 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 Engineering (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-A [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.] [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 Engineering [] 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 maerial moel for DYNA 3D [J]. Inernaional Journal of Impa Engineering9979(9) (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.]

9 4 4 ol.4 N o Chinee Journal of Rock Mechanic an Engineering Feb (97) 004

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