Crack Paths 2006

LISTO FN O M E N C L A T U R E

gcr : f t / E :

f c m z f +c 8k :

G F: GF0(fcm/I0)0-:7

GF0 = base value of fracture energy which depends on the m a x i m u amggregate size, as

the value of aF,

We :aF(GF/ft):

WI =2GF/f,—0.I5'Wc,

A:(6Wcl'l—W1h)

B = [E(6wch -WIh)g+EWIWC —f,w1h]

C=Eft(wlwc—W1l'l8).

a I 4h2El-K62w2 + w? —25WCw1)[E—E_ C l

b =2h(6wc —w1)(2EhfC,w1 +2pEhfctW1 +ZpMZ-hft we —4pE,-hft w] —2E,-hft W1 +2El-Ewlwc )

c = f tlllpo'hEwlwi +412252h2ftWi — 8 p 2 5 h 2 f t w 1—W4cpo'h2ftWIWC— 4 p h E W j W+C4 - p 2~h2 ~ft ~14}? +

+4ph2ftw ? — 4 E h w j w+ch2ftw ? —l'l2Wj +45EhW1w2]

C

R E F E R E N C E S

1. Rots, J .G. (2001) In Fracture Mechanics of Concrete Structures, Proc. F R A M C O S

4, de Borst R, MazarsJ, Pijaudier-Cabot G, van Mier J G M ,BalkemaA A(eds).

Lisse: TheNetherlands, 831-839.

2. Rots, J.G., InverniZZi, S. (2004) Int. Journalfor NumericalandAnalytical Methods

in Geomechanics,28, 821-856.

3. Rots J .G., Belletti B., Invemizzi S. (2006). O n the shape of saw-tooth softening

curves for sequentially linear analysis. EURO-C2006 Computational Modelling of

ConcreteStructures, 27-30March,Mayrhofen,Tyrol, Austria, 431-442.

4. CEB-FIBModel Code 1990. Bulletin No. 213/214 (1993), Comite International du

Beton.

5. Belletti B, Cerioni R, Iori I. (2001) A S C EJournal of Structural Engineering;

127(12), 1412-26.

6. Eurocode 2: Design of concrete structuree — Part 1: General rules and rules for

buildings. CEN,2002.

7. Leonhardt F., and Walter R. Wandartige Trager. Deutsher Ausschuss fiir Stahlbeton,

D.A.f. St., Heft 178, Ernst & Sohn, Berlin, Germay,1966.

8. Rots J.G., Belletti B., Invemizzi S. (2006). Simplified Saw-ToothSoftening Model

for Reinforced Concrete Structures. Fib Congress 2006, 5-8 June, Naples.