1. 1. R (n) = f (n, S m ax, R ) (1) S m ax. R = S m in. V o l. 16 N o. 3 A ugust A CTA M A T ER IA E COM PO S ITA E S IN ICA ,,,

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1 A CTA M A T ER IA E COM PO S ITA E S I ICA V o l. 16 o. 3 A ugust 1999 (, ) 3 (3, ),,,,,,, TB , O ,, K. L. R eifs ider [1 ] :,,,,,,,, 1,, : R () = f (, S m ax, R ) (1) R (), S m ax, R R = S m i, : S m ax R (0) = Ρult R ( ) = Ρm ax Ρult, 1. 1 L. J. B rou tm a [2 ] (GFR P) : : , (98B52011) (2a) (2b)

2 3, : 99 R () = R (0) - [R (0) - S m ax ] R (0), Ρult,, R () J.. Yag [3 ], : R Α () = R Α (0) - [R Α (0) - S m Α ax ] Α Z. H ash i [4 ] dr () :, = 0,, : 7 [R () ] = 7 [R (0) ] - {7 [R (0) ] - 7 (S m ax) } log log (3) (4) d = 0,, 7, (5) T. H ah [5 ] : R c () = R (0) - Β c K S b (6) c, Β, K, b (6) (2a), (2b) P. C. Chou [6 7 ] 2 : R Α () = R Α (0) - [R Α (0) - S Α m ax ] 1- Α iα 1 (7) i, Α W eibu ll, Α1 W eibu ll A. Charew icz [8 ] (2a) (2b) : R () = S m ax + [R (0) - S m ax ]f f ( 1 f 1), A. Charew icz, f J., (8) Schaff [9 ] R () = R (0) - [R (0) - S m ax ] Μ 1. 2 Μ (9), : (2) ; 1. CD S (Characteristic D am age State) 2. Radom fibre breakage 3., Regular fibre breakage ad delam iatio 4. F ial fracture 1 [1 ] F ig. 1 T he model of dam age evo lutio i FRP uder cyclic loadig (Sudde D eath), 1 K. L. R eifs ider [1 ], (GFR P CFR P), 1 (5)

3 100 16, : R () = R (0) - [R (0) - S m ax ]f (g ) (10a) f (x ) = si Βx co s (Β - Α) si Β co s (Βx - Α) (10b) Α Β, Π2Β< Α< Πg2 2 Α Β f (10) R () : (2) ; ; 2, (a) Β (Α= 0. 5Β) (b) Α (Β= 5Πg6) (a) fo r differet Β (Α= 0. 5Β) (b) fo r differet Α(Β= 5Πg6) 2 Α Β, f F ig. 2 Fuctio f fo r differet Αad Β 2 (GFR P) (CFR P),, 2. 1 (GFRP) 3 GFRP [2 ] 4 GFRP [10 ] F ig. 3 T he compariso of residual stregth betw ee F ig. 4 T he compariso of residual stregth betw ee experim etal data ad p redictio results (GFRP) [2 ] experim etal data ad p redictio results (GFRP) [10 ]

4 3, : (10), Β= 5Πg6, Α= 0. 5Β Α Β, Α Β, 2. 2 (CFRP) 5 8 (10), Β Α GFR P 5 CFRP [11 ] 6 CFRP [12 ] F ig. 5 T he compariso of residual stregth betw ee F ig. 6 T he compariso of residual stregth betw ee experim etal data ad p redictio results (CFRP) [11 ] experim etal data ad p redictio results (CFRP) [12 ] 7 CFRP [13 ] 8 CFRP [8 ] F ig. 7 T he compariso of residual stregth betw ee F ig. 8 T he compariso of residual stregth betw ee experim etal data ad p redictio results (CFRP) [13 ] experim etal data ad p redictio results (CFRP) [8 ] 2. 3,,, [11 ],,,,,,

5 ,,, 1 T alreja R. Fatigue of compo site m aterialṡ T echom ic Publish ig Co, Ic, p 2 B routm a L J, Sahu S. A ew theo ry to p redict cum ulative fatigue dam age i fibre2glass reifo rced p lastics. Compo site M aterials: T estig ad D esig (2d Coferece), A STM ST P497, Yag J, Joes D L. L oad sequece o the fatigue of uo tched compo site m aterials. Fatigue of F ibrous Compo sitem a2 terials, A STM ST P 723, H ash i Z. Cum ulative dam age theo ry fo r compo site m aterials: residual life ad residual stregth m ethodṡ Comp osites S ciece ad T echology, 1985, 23: H ah T. Fatigue behaviour ad life p redictio of compo site lam iates, A FM L 2TR , Chou P C, C rom a R. Residual stregth i fatigue based o the stregth2life equal rak assump tio. J ou ral of Comp os2 ite M a teria ls, 1978, 12: Chou P C, C rom a R. D egradatio ad sudde2death models of fatigue of graph itegepoxy compo sites. I: Compo site M aterials: T estig ad D esig (F ifth Coferece), A STM ST P 674, Charew icz A, D aiel IM. D am age m echaism s ad accum ulatio i graph itegepoxy lam iates. I: Compo sitem aterials: Fatigue ad F racture (H ah H T, Ed), A STM ST P 907, Schaff J R, D avidso B D. L ife p redictio m ethodo logy fo r compo site structures. Part I Costat amp litude ad two2 stress level fatigue. J ou ra l of Comp osite M a teria ls, 1997, 31: Doaldso S L, Kim R Y. L ife p redictio of glassgviylester ad glassgpo lyerster compo sites uder fatigue loadig, P ro2 ceedigs of ICCM 210, I577 I Yag J, L iu M D. Residual stregth degradatio model ad theo ry of periodic p roof tests fo r graphitegepoxy lam i2 ates. A FM L 2TR , W right2patterso A FB, Ryder J T, W alker E K. A scertaim et of the effect of comp ressive loadig o the fatigue lifetim e of graph ite epoxy lam 2 iates fo r structural app licatio. A FM L 2TR , W right2patterso A FB, T ai H, M a C C M, W u S H. Fatigue behaviour of carbo fibregpeek lam iate compo sites. Comp osites, 1995, 26 (8) : RESID UAL STREGTH OF F IBRE-RE IFORCED -PLASTICS UD ER FATIGUE LOAD IG Gu Y i (C ivil A viatio Co llege, ajig U iversity of A eroautics ad A stroautics, ajig ) Yao W eix ig (D epartm et of A ircraft Egieerig, ajig U iversity of A eroautics ad A stroautics, ajig ) Abstract T he state of the art i residual stregth of fib re2reifo rced2p lastics (FR P) is re2 view ed. A ew residual stregth model based o the dam age developm e t i the FR P uder fatigue loadig is p rese ted, w h ich ca m acrom echa ically ad pheom eo logically describe the characteristics of fatigue dam age. A lso clearly show is the good agreem e t betw ee the experim e t data from som e quo ted literatu re ad the p redictio resu lts of th is paper. Key words residual stregth, fatigue, fib re2reifo rced2p lastics, fatigue dam age

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