PSI - Issue 59

Viktoriia Ihnatieva et al. / Procedia Structural Integrity 59 (2024) 487–493 Viktoriia Ihnatieva/ Structural Integrity Procedia 00 (2019) 000 – 000

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4

Let us determine the law of change of pressure gradient along the length of the moulded element. As an example, consider a strut in front of the moulding front (Fig. 2). We will consider the binder as a viscous incompressible liquid, which obeys Darcy's law during filtration. The flow of liquid binder is considered separately from the stress state of rigid reinforcement (Bochkarev et al. (1988)).

Fig. 2. Distribution of pressures and binder flows during final moulding of a complex profile product

Let us consider the balance of binder flows in some elementary volume of the moulded element with length dx , located at some distance x from the moulding zone. The flow of binder that passes through the cross-section at a distance x in the longitudinal direction is determined from the expression (Bochkarev et al., 1988):

  L пр

k p x

 

,

(3)

L q x

S





L

x 

and at a distance 

 x d  from the expression:

  k p x dp    L np  

  k p x S k S dp L L L np L np





q x dx

S

.

(4)

 











L

L

x dx 

x

x







The area through which the binder flow passes in the longitudinal direction is determined through the area of the moulded element by the formula:     1 1 1 1 L c c c S F b h         . (5)

In this case, a part of the binder is extruded in the radial direction from the considered volume of the element. Assuming that a linear dependence   p x occurs in the section dx , we write down

dp  

 

 

 

r np k p x 

2

2





q x dx

r  . S

(6)

 

r

b 

c

The permeability in the radial direction is determined by the formula: