ABSTRACT

The horizontal and vertical balance of forces and the balance of momentum let to get the following differential system (Fig. 3):

dn dx

y= - ′σ τ (1)

dt dx

hy y= ′- ′ +γ σ τ( ) (2)

dm dx

n ty= - ′ (3)

where:

t = µn; m = nB; h = x - y tanα

being µ a constant. Basic convention: from now onwards all the

developments will be done adimensionally. To achieve this the dimensional measuring units in Table 1 are adopted:

Having solved any problem the real results would have to be obtained by multiplying them by the respective physical units.