Issue 51

E. Mousavian et alii, Frattura ed Integrità Strutturale, 51 (2020) 336-355; DOI: 10.3221/IGF-ESIS.51.25

where the coefficient cf k interface geometries.

for each lock can be obtained through experimental investigation on different interlocking

(a)

(b)

(c) (d) Figure 17 : a) and b) Force distribution and shear resistance for a lock; c) and d) a conservative formulation for shear resistance of the interface within the convex contact model framework.

Figure 18 : The orthotropic sliding resistance of an interlocking block governed by the Coulomb’s friction law and the shear resistance of the locks in two normal directions.

Considering f t 1

and f t 2

two components of the tangential force f t

, and q the angle between the tangential force f t

and the

locks, the sliding constraint of an interlocking interface as long as the locks are not cracked is (Fig. 18):

1 q f       0 m k i

    

2

i i q g b k 

f

sin 

(34)

t

f

cos 

t

n

Once all the locks are fractured and separated from the main body, the interface is turned to be a conventional interface. Thus, the non-linear sliding constraint can be formulated as:

352